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Are you one of the eager individuals in West Bengal who's been eagerly awaiting the <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/170963013450177.pdf">WB Police Constable Notification 2023</a>? Well, you're not alone in feeling this excitement because the WB Police Constable Notification 2023 has truly ignited a spark among aspiring candidates and job seekers like you. In this blog, we'll embark on a journey together, exploring the finer points of this significant WB Police Constable Notification 2023. Furthermore, we'll break down the eligibility criteria, walk you through the recruitment process step by step, and shed light on the exciting career prospects it holds for those who aspire to serve in law enforcement. <h2 id="content-id-1673-0">WB Police Constable Notiﬁcation 2023 - An Overview</h2> Before we delve into the specifics of the WB Police Constable Notification 2023, let's take a moment to explore your journey as an aspiring WB Police Constable candidate. Understanding the path ahead will equip you with the knowledge and confidence needed for this important and potentially life-changing journey. Additionally, we've created a clear and straightforward roadmap to guide you through the entire process, starting from the initial stages of preparation and leading you to a successful outcome. Therefore, below, you'll find a step-by-step guide tailored to your unique needs, covering everything from your eligibility to the application process to the various stages of the examination and their outcomes. <img alt="WB Police Constable Notification 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Notification_2023_Posts_Vacancies_Eligibility_Posts.webp" style="height:300px; width:600px"> [Source: The Dhronas] <img alt="WB Police Constable Notification 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Notification_2023_Application_Process.webp" style="height:300px; width:600px"> [Source: The Dhronas] <img alt="WB Police Constable Notification 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Notification_2023_Exam_Procedure.webp" style="height:303px; width:600px"> [Source: The Dhronas] <img alt="WB Police Constable Notification 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_2023_Written_Exam_PMT_PET.webp" style="height:300px; width:600px"> [Source: The Dhronas] <img alt="WB Police Constable Notification 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Notification_2023_Merit.webp" style="height:300px; width:600px"> [Source: The Dhronas] We truly hope that the above infographics have given you clarity on 'what your exam journey for the WB Police Constable exam will look like'. So, how about we now start decoding the WB Police Constable Notification 2023 one by one? <h2 id="content-id-1673-1">WB Police Constable Notification 2023 PDF</h2> The WB Police Constable Notification 2023 was released on 5 March 2024. It provides important information about the upcoming WB Police Constable exam. The West Bengal Police Recruitment Board is scheduled to conduct the exam, and it's crucial for aspiring candidates like you to acquaint yourselves with the contents of this notification. Thus, below, you'll find the key sections covered in this notification, and the blog will follow the same order: <ul> <li>Eligibility Criteria</li> <li>Vacancies</li> <li>Exam Pattern</li> <li>Exam Syllabus</li> <li>Important exam dates</li> <li>Application Process</li> <li>Admit Card and Exam Centers</li> </ul> In the subsequent sections of this blog, we will explore each of these topics in more detail. If you're interested in accessing the official notification for 2023, you can simply click on the provided link. <h2 id="content-id-1673-2">WB Police Constable 2023 Eligibility Criteria</h2> Before you start preparing for the WB Police Constable exam, your initial step should be to determine if you meet the eligibility criteria. Let's simplify this process. There are a few eligibility conditions you must satisfy for the WB Police Constable exam. These are: <ul> <li>You must be a citizen of India.</li> <li>All individuals, including males, females, and third gender candidates, are eligible for the Constable positions.</li> <li>You should be at least 18 years old and not more than 30 years old as of January 1, 2024. Moreover, age relaxations may apply.</li> <li>You must have passed the Madhyamik Examination from the West Bengal Board of Secondary Education or its equivalent.</li> <li>You should be able to speak, read, and write in Bengali language. Additionally, exceptions may apply in certain cases.</li> <li>It is important to meet the minimum physical measurements specified by the recruitment board to be eligible.</li> </ul> Furthermore, for more details, you can refer to our blog related to <a href="https://www.thedhronas.com/blog/wbp-constable-eligibility-criteria-2023-age-education">Eligibility Criteria</a>. <h2 id="content-id-1673-3">WB Police Constable 2023 Vacancy</h2> If you aspire to progress in your career within the West Bengal Police, it's crucial to be aware that the West Bengal Police Recruitment Board has arranged an internal examination. The primary objective of this exam is to recruit eligible candidates for the post of constable. Out of 10,255 openings available, 7,228 positions are allocated for male constables, while 3,027 are specifically designated for female constables within the West Bengal Police. For a detailed understanding of the WBP Constable vacancy, please refer to the excerpt below, extracted from the official notification. <img alt="WB Police Constable Notification 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Notification_2023_Vacancy.webp" style="height:442px; width:500px"> [Source: wbpolice.gov.in] Now that you have been briefed about the WB Police constable vacancies for the year 2023, how about you brief you about its exam pattern in the next segment? <h2 id="content-id-1673-4">WB Police Constable 2023 Exam Pattern</h2> Exploring the WB Police Constable exam format is like having a personalised guide for your journey. It's really important because it helps you prepare well, shows you how to get ready, and boosts your confidence when you actually take the exam. So, let's break down the WB Police Constable exam pattern in a simple and tailored way just for you. In your WB Police Constable Exam journey, you'll encounter four key stages: <ul> <li>Written Examination (85 marks)</li> <li>Physical Measurement Test</li> <li>Physical Efficiency Test</li> <li>Interview (15 marks)</li> </ul> <h3>Written Examination</h3> <ul> <li>The written exam consists of 85 multiple-choice questions with a maximum achievable score of 85.</li> <li>Be cautious, as there's a deduction of 1/4 of the assigned mark i.e. 0.25 mark for each wrong answer.</li> <li>No marks are deducted for questions you leave unanswered.</li> <li>The test is available in Bengali and Nepali language.</li> <li>You'll have a total of 1 hour to complete the test.</li> </ul> <h3>PMT/PET</h3> You will be shortlisted based on the marks you obtain in the Written Examination for Physical Measurement Test (PMT), which is qualifying in nature. Your physical standards, including height and weight will be tested using Electronic Machines. If you are a male candidate, chest measurements will be taken using measuring tape. Upon qualifying in PMT, you will be permitted to participate in PET. <h3>Interview</h3> If you qualify in the Physical Efficiency Test (PET), you will receive an invitation for an Interview. The West Bengal Police Recruitment Board will determine the procedure, date, time, and venue for the Interview. During the Interview, your general awareness and suitability for public service will be assessed. Additionally, your ability to speak, read, and write in Bengali/Nepali language will be evaluated. Moreover, to understand the <a href="https://www.thedhronas.com/blog/wbp-constable-exam-pattern-2023-85-questions-in-60-minutes">exam pattern</a> in detail, click on the embedded link. Let us now decode each of these stages for you separately in bullet points. Let's now hop and explore the WB Police Constable Syllabus 2023. <h2 id="content-id-1673-5">WB Police Constable 2023 Syllabus</h2> Now that you have a clear understanding of the exam pattern, it's crucial to delve into the syllabus details, as it will help you prepare strategically. Here are the subjects that the WB Police Constable written examination covers: <ul> <li>General Awareness and Knowledge</li> <li>English</li> <li>Elementary Mathematics (Madhyamik standard)</li> <li>Reasoning and Logical Analysis</li> </ul> For more information, you can refer to our blog, <a href="https://www.thedhronas.com/blog/wbp-constable-syllabus-2023-subject-wise-topics-weightage">WB Police Constable Syllabus 2023</a>. <h2 id="content-id-1673-6">WB Police Constable 2023 Marking Scheme</h2> <ul> <li>In the WB Police Constable written exam, you will encounter 85 questions, with each correct answer earning you 1 mark.</li> <li>Moreover, the exam will carry a total of 85 marks.</li> <li>However, be cautious, as there's a penalty of 1/4th mark for every incorrect response.</li> </ul> <h2 id="content-id-1673-7">WB Police Constable 2023 Important Exam Dates</h2> According to the official WB Police Constable Notification 2023, we have presented the key dates provided by the authorities in the table below for your convenience and reference: <table border="1" cellpadding="1" cellspacing="1" style="width:320px"> <tbody> <tr> <td> <div style="text-align:center">Events</div> </td> <td> <div style="text-align:center">Dates</div> </td> </tr> <tr> <td> <div>WBP Constable Notification 2024</div> </td> <td> <div style="text-align:center">March 5, 2024</div> </td> </tr> <tr> <td> <div>Start Date to Apply Online</div> </td> <td> <div style="text-align:center">March 7, 2024</div> </td> </tr> <tr> <td> <div>Last Date to Apply</div> </td> <td> <div style="text-align:center">April 5, 2024</div> </td> </tr> <tr> <td> <div>Application Form Editing Window</div> </td> <td> <div style="text-align:center">April 8 - April 14, 2024</div> </td> </tr> <tr> <td> <div>WBP Constable Exam Date</div> </td> <td> <div style="text-align:center">To be announced</div> </td> </tr> </tbody> </table> Moreover, we need not say, if you want to know all about the dates regarding the WBP constable exam. We are soon going to release our blog for the same. So, stay tuned! Further, let's dive into the next segment of our blog. <h2 id="content-id-1673-8">WB Police Constable Application Process 2023</h2> If you are interested in applying for the position of constable at WB Police, you can do so online through the official website of the WB Police Recruitment Board. The application form for the WB Police Constable is accessible on the WBPRB portal. It's crucial for you to complete the form with great care and accuracy, ensuring that all the required details are filled in correctly. Additionally, if you fall under the UR category, you will need to pay a total fee of Rs. 170, which consists of a Rs. 150 application fee and a Rs. 20 processing fee. However, if you belong to the SC/ST category within West Bengal, you won't have to pay an application fee, but you will need to cover a processing fee of Rs. 20, resulting in a total fee of Rs. 20. <h2 id="content-id-1673-9">WB Police Constable Apply Online - Step by Step Approach</h2> To apply for the WB Police Constable Recruitment 2023, it's crucial for you to fill out the form with the utmost care and accuracy. Here are the steps you can follow: <ol> <li>Visit the official website of the <a href="https://prb.wb.gov.in">WBPRB</a>.</li> <li>On the WBPRB homepage, locate and click on the "Apply Online" button.</li> <li>If you haven't registered already, make sure to complete the registration process.</li> <li>Prior to proceeding further, carefully read all the provided instructions.</li> <li>Fill in all the required details, including uploading your photo, signature, and any other necessary documents.</li> <li>Pay the applicable application fee.</li> <li>Once everything is complete, submit the application form.</li> </ol> Don't forget to take a printout of both the application form and the fee receipt for your records. <h2 id="content-id-1673-10">WB Police Constable 2023 Admit Card and Exam Centers</h2> You should know that the WBPRB will release the admit card for the WB Police Constable Written Exam a few days before the actual exam date. The WB Police Constable Admit Card in PDF format includes your personal details such as your name, roll number, the exam venue, and the exam timings. Additionally, it contains essential instructions that you must adhere to at the examination centre. We trust that this blog has provided you with a better grasp of all the information provided within the official WB Police Constable notification 2023. If you're looking for more comprehensive insights, please don't hesitate to explore our additional blogs. Our commitment is to keep you thoroughly informed. Nevertheless, it's crucial to bear in mind that information, when combined with unwavering dedication, persistent hard work, and determination, serves as the primary catalyst for achieving your aspirations.

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WB Police Constable Notification 2023

2023 পশ্চিমবঙ্গ পুলিশ কনস্টেবল বিজ্ঞপ্তি

WB Police Constable Notification 2023 - Recruitment for 10255 Govt Jobs

2023 পশ্চিমবঙ্গ পুলিশ কনস্টেবল বিজ্ঞপ্তি - 12000 সরকারি পদে নিযুক্তি

Preparing for bank exams like SBI PO, IBPS Clerk, or RBI Grade B requires mastering various subjects, and Data Interpretation (DI) is undeniably one of the critical components of this rigorous journey. Aspiring bankers know that success in these competitive exams hinges on comprehensive DI skills. DI not only assesses your mathematical acumen but also evaluates your ability to extract meaningful insights from complex data sets, a skill highly valued in the banking sector. So, this blog is essential for the preparation of Data Interpretation for Bank Exams.

In this blog, we will delve into the world of Data Interpretation, offering valuable insights, strategies, and practice exercises tailored to the specific demands of bank exams. So, whether you're aiming for the coveted SBI PO position, aspiring to become an IBPS Clerk, or envisioning a career with RBI Grade B, fasten your seatbelt as we embark on a data-driven expedition to empower your bank exam preparation. Mastering DI is your ticket to conquering those numerical challenges and securing a future in the world of banking.

So, let's start with Bar Graph first and then we will move further.

<h2 id="content-id-1674-0">Bar Graph</h2>

Bar graphs in one of the oldest and most commonly used diagrams for presenting data. The value of bars is determined by the height of the bar. Therefore, it becomes easy to compare the value of a variable. So, if you're preparing for Data Interpretation for Bank Exams, you have to master this topic.

<img alt="Data Interpretation Bar Graphs" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Data Interpretation Bar Graphs.jpg" style="height:200px; width:400px">

One axis (Normally X-axis) of every bar chart represents a discrete variable while the other axis (Normally Y-axis) represents the scale for one or more continuous variables.

<h3>Based on Simple Bar Graphs:</h3>

Let’s take an example of Simple Bar Graphs.

E.g. Bar graph given below shows pens sold by a retailer on five different days. Study the data carefully and answer the following questions.

<img alt="Based on Simple Bar Graphs" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Based on Simple Bar Graphs.webp" style="height:200px; width:400px">

[Note: This type of question was asked in SBI PO 2022 exam]

(1) Out of total pens sold on Tuesday, the ratio between total defective pens sold to total pens sold is 7: 15. Find the total number of non - defective pens sold on Tuesday by the retailer?

(2) The total number of pens sold on Saturday is 40% more than the total number of pens sold on Wednesday. Find the total number of pens sold on Friday and Saturday together?

(3) Find the difference between the total number of pens sold on Monday and Tuesday together to the total number of pens sold on Thursday and Friday together?

Sol: (1) As total pens sold comprise defective and non-defective pens, where let defective pens be 7 and total pens are 15. Non-defective pens are 8.

Ratio of non-defective pens to total pens be = 8/15

Number of non-defective pens sold on Tuesday is = (8/15) × 75 = 40 (Ans.)

(2) Total number of pens sold on Friday = 50

As pens sold on Saturday is 40% greater than sold on Friday

By multiplying factor,

⇒ 50 × 1.4 = 70 pens sold on Saturday.

Sum of the number of pens sold on Friday and Saturday = 50 + 70 = 120 (Ans.)

(3) Observing from Graph we obtain the data for Monday, Tuesday, Thursday and Friday.

Sum of pens sold on Monday and Tuesday = 25 + 75 = 100

Sum of pens sold on Thursday and Friday = 45 + 50 = 95

The difference would be 100 – 95 = 5 (Ans.)

So, this graph comprises one bar chart, now we will look into a question based on more than one bar graph.

<h3>Based on more than one Bar Graph:</h3>

E.g. Number of players participating in three different games in five different schools.

<img alt="Based on more than one Bar Graph" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Based on more than one Bar Graph.webp" style="height:200px; width:400px">

(1) What is the total number of players participating in Hockey from all the five schools together?

(2) What is the respective ratio between the number of players participating in BasketBall from School 1 and the number of players participating in Kho-Kho from school 3?

(3) In which school is the number of players participating in Hockey and BasketBall together Highest?

Sol: (1) Observing the blue section carefully we got the data for Hockey

Which is 70, 80, 50, 50, and 40.

⇒ 70 + 80 + 50 + 50 + 40 = 290 (Ans.)

(2) From the graph, we would fetch the number of students of Basketball from school 1 which is 40 and of Kho-Kho of school 3 which is 50.

Ratio would be = 40/50 = 4/5 (Ans.)

(3) For this, we have to calculate the sum for each school individually then compare them

School 1 ⇒ 70 + 40 = 110

School 2 ⇒ 80 + 30 = 110

School 3 ⇒ 50 + 30 = 80

School 4 ⇒ 50 + 60 = 110

School 5 ⇒ 40 + 80 = 120

Highest is in school 5 (Ans.)

So, we learned the variety of questions that could be asked in a Banking Exam paper. As you saw there isn’t that much variety so one should not miss this too although data table and bar charts comprise 40% questions in data interpretation questions. If you get them you will be awarded well in exams.

So now, we will learn about Pie Charts.

<h2 id="content-id-1674-1">Pie Charts</h2>

Pie charts are specific types of data representation, where data is represented in the form of a circle. In a pie chart, a circle is divided into various sections such that each sector or segment represents a certain proportion or percentage of the total. Let's try two different type of questions based on different approaches.

<h3>Percentage Approach:</h3>

E.g. The following pie chart represents the breakup of Raju’s monthly expenses.

<img alt="Based on more than one Bar Graph" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Percentage Approach on Pie Charts.webp" style="height:200px; width:300px">

(1) If Raju spent 4,500 rs more on food and transport together than he spent on rent, then find his monthly expenses (in rs.).

(2) If Raju increased his savings, which is currently 10% of his income, by 20%, and reduced his expenses by 20%, then his savings would be what percentage of his expenses?

(3) Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to 2,100 rs. Find his expenditure on education. 
 
Sol: (1) Here data is given in percentage term,

Total percentage of food and transport = 22 + 8 = 30%

Total percentage of rent = 15%

⇒ 30% - 15% = 15%

Here 15% is equivalent to 4500 rs.

1% would be equivalent to ⇒ (4500/15) rs.

100% would be equal to = (4500/15) × 100 = 30,000 rs. (Ans.)

(2) After reading (2) question some students must be puzzled what should we do,

This question is completely independent of the given data. Let’s take a simplistic approach without getting any confusion.

In the beginning saving is 10%

(Income = saving + expenditure)

So, our expenditure = 90%

As saving increased by 20% so saving would be = 10 × 1.2 = 12%

And expenditure would get decrease by 20% = 90 × 0.8 = 72%

⇒ (12/72) × 100 = 16.67% (Ans.)

(3) In this pie chart others have share of = 35%

According to question, 20% of this is used in Entertainment

⇒ 35 × 0.2 = 7%

Here 7% = 2100 rs.

⇒ 1% = (2100/7)

Expenditure on education = 20% = (2100/7) × 20 = 6000 rs. (Ans.)

Now, let's check out the second approach.

<h3>Degree Approach:</h3>

Let's revise the basics of the degree approach before moving on to the question.

The central angle in a circle represents 360°, so any part or segment in a pie chart is calculated as a proportion of 360°.

Value of a sector = (Percent of the sector/100) × Total Value

Value of a sector = (Angle of the sector/360) × Total Value

Now, let's look at this question.

E.g. Study the following pie chart and answer the questions given below it.

<img alt="Degree Approach on Pie Charts" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Degree Approach on Pie Charts.webp" style="height:200px; width:300px">

Expenditure incurred in bringing out a book by a publisher

(1) How much percent more is spent on advertisement than that on the binding?

(2) If the total amount spent on royalty during the year is 3 crore rs., then what is the difference in expenditure on paper and that on printing?

Sol: (1) Angle made by advertisement segment = 54°

Angle made by advertisement segment = 45°

Difference = 54 – 45 = 9°

Percentage of difference = (9/360) × 100% = 2.5% (Ans.)

(2) Difference between angle made by paper and printing = 126 – 90 = 36°

Angle made by royalty = 36°

So if the angle is the same so the value would also be the same, 3 crore rs. (Ans.)

So in this blog, we have covered both the degree and percentage approach for the pie chart which is a part of your data interpretation for Bank Exam. 

Now, let's move on to the next type of DI i.e. Line Graph.

<h2 id="content-id-1674-2">Line Graph</h2>

A line chart or line graph or Cartesian graph is a simplistic method of representing the data and it is quite simple to denote single or multiple related continuous variables against a specific set of values of a discrete variable. In simple language, it is that same zig-zag graph which we made in our school days with a pencil, nostalgic?

<h3>Single Dependent Variable Graph:</h3>

Let’s take our first example.

E.g. The following line graph represents the population (in millions) of country X in each year from 1980 to 1985.

<img alt="Single Dependent Variable Line Graph" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Single Dependent Variable Line Graph.webp" style="height:200px; width:400px">

(1) Find the percentage increase in the population of X from 1980 to 1985.

(2) If in 1981, 60% of the population of X were men while in 1982 it was only 50%, find the percentage change in the male population from 1981 to 1982.

(3) In which of the given years, from 1981 to 1985, did the population increase by the highest percentage over the previous year?

Sol: (1) Required percentage change = {(1.9 – 1.1) / 1.1} × 100 = 72.72% (Ans.)

(2) Number of men in 1981 = 1.3 × 0.6 = 0.78

Number of men in 1982 = 1.4 × 0.5 = 0.70

Required percentage change = [(0.78 – 0.70) / 0.78] × 100 = 10% (Ans.)

(3) As the maximum increase in population between any two years is 0.2 million (1981, 1983 and 1985) and as the increase in population in 1981 is on a lower base, the percentage increase in 1981 would be the highest. (Ans.)

Learnings:

1. We don’t have to be accurate in calculation, we want speed so we prefer approximation. (Prefer the chapter of approximation for better understanding.)

2. Sometimes there is no need for rigorous calculation. We got an answer for 3 rd questions just by observing the graph carefully.

Now, let's look at one more type of the line graph.

<h3>More than one Dependent Variable:</h3>

In this type of graph, two or more lines are drawn to represent two or more dependent variables. The scale for the dependent variables is common to all the variables.

E.g. Consider the following graph and answer the questions based on it.

[Note: This type of question was also asked in RBI Grade B 2022 exam]

<img alt="More than one Dependent Variable Line Graph" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/More than one Dependent Variable Line Graph.webp" style="height:200px; width:400px">

Trend of consumption of two types of metals (in units) by the state over a period of time

(1) The number of years, for which the consumption of metal B was more than the consumption for metal A in the given period, was ________.

(2) The total consumption of metal A divided by the total consumption of metal B over the period will give a ratio equal to?

(3) For the two data series shown above, how many years in all have shown a decrease in consumption?

Sol: (1) [Attention] here we can simply note down all the values and compare them but we don’t need to do that. What we have to do is just check on which year red line (Metal B) is higher than blue line (Metal A).

Which is in 2011 and 2012, so our answer is 2 (Ans.)

(2) For this, you have to calculate the total consumption of each metal.

Consumption of metal A = 25 + 20 + 20 + 20 + 25 + 30 = 140

Consumption of metal B = 20 + 10 + 25 + 30 + 25 + 10 = 120

Ratio = 140/120 = 7/6 (Ans.)

(3) Total consumption of metal A and B

in 2009 ⇒ 20 + 25 = 45 units

in 2010 ⇒ 20 + 10 = 30 units

in 2011 ⇒ 20 + 25 = 45 units

in 2012 ⇒ 20 + 30 = 50 units

in 2013 ⇒ 25 + 25 = 50 units

in 2014 ⇒ 30 + 10 = 40 units

Decrease in total consumption was in two years. (2010, 2014) (Ans.)

So this is all for today. In continuing this series, we will learn about Tables, Caselets and Mixed Graphs in our next blog. Keeping your morale high during this pandemic is a very crucial thing along with taking care of your mental health too. So, keep praticing questions for the better preparation of Data Interpretation for Bank Exams. Stay tuned for <a href="https://www.thedhronas.com/blog/basics-of-data-interpretation-part-2-for-bank-exams" target="_blank">Data Interpretation (Part 2)</a>.

Learn and Practice Data Interpretation

ডেটা ব্যাখ্যা শিখুন এবং অনুশীলন করুন

Learn the basics of Data Interpretation for Bank Exams

ব্যাংক পরীক্ষার জন্য সাধারণ ডাটা ব্যাখ্যা জেনে নেয়া যাক

Profit and Loss is the most interesting and very important topic of the Quant section for WBP Constable Exam. This is a very wide topic of the quant section in which you will learn some real-life solutions to problems and it will increase your aptitude dramatically. Concepts of profit and loss will be used in other topics as well. You must have a good command in this topic if you want to clear WBP Constable Exam.

<h2 id="content-id-1725-0">Profit and Loss for WBP Constable Exam</h2>

As we discussed earlier, Profit and Loss is a crucial topic in the WBP Constable Exam. Gain a strong understanding of this concept through our detailed study material and practice questions. Enhance your problem-solving abilities and increase your readiness for the exam.

The weightage for Profit and Loss in the WBP Constable Exam is typically around 2-5% of the total marks. It may vary slightly from year to year, but it's an important topic to prepare for to secure a good score in the exam.

To understand the concept of profit and loss, we have to understand the concept of ‘Percentage increase and decrease’. We have discussed this topic in <a href="https://www.thedhronas.com/blog/theory-and-questions-on-percentage-for-wbp-constable-exam" target="_blank">Percentage</a> blog too, so let's revise this topic.

<h2 id="content-id-1725-1">Percentage Increase or Decrease Questions</h2>

Now, there is a most important concept, to understand profit and loss, called PERCENTAGE INCREASE or DECREASE.

PERCENTAGE INCREASE or DECREASE in a quantity is the ratio, expressed in percentage, of the actual INCREASE or DECREASE in the quantity to the original amount of the quantity.

i.e. PERCENTAGE INCREASE = (Actual increase/Original quantity) × 100

PERCENTAGE DECREASE = (Actual decrease/Original quantity) × 100

<img alt="Percentage Increase or Decrease Questions" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Percentage Increase or Decrease Questions.webp" style="height:200px; width:400px">

E.g. If the consumption of rice by a family is increased from 60 kg/month to 75 kg/month, then the percentage increase in rice consumption is calculated as follows:

⇒ Actual increase = 75 – 60 = 15 kg/month

⇒ Percentage increase = (actual increase/quantity at the beginning) × 100 = 15/60 × 100 = 25%

So let’s start by taking a simple example and try to understand what profit/loss in a trade is.

E.g. A man buys an article for 300 rs. and sells it for 900 rs. Find the profit/loss.

We saw he buys at 300 rs. and sells that article at 900 rs. so he got additional

⇒ 900 - 300 = 600 that is the extra money he got this is called profit for him.

Let’s take another scenario of loss;

E.g. Aman buys an article at Rs 900. and sells it for Rs 300. Find the profit/loss.

He buys at 900 rs. and sells at Rs 300. So, he loses 900 - 300 = Rs 600.

Whenever a purchased article is sold, then either profit is earned or loss is incurred.

Let’s learn some terminologies of Profit and Loss concept.

<h2 id="content-id-1725-2">Profit and Loss Basic Terminologies and Questions</h2>

Selling Price (SP): The price at which article is sold.

Cost Price (CP): The price at which article is manufactured or purchased.

Profit (SP - CP): When an article is sold at a price more than its cost price, then profit is earned.

Loss (CP - SP): When an article is sold at a price less than its cost price, then the loss is incurred.

In day-to-day life we don’t talk about absolute loss/gain we talk about profit/loss in percentage terms, e.g., 15% off, 20% sale. What are they, let’s talk about them.

We learn percentage is the fraction with denominator 100. So,

Profit/Loss (%) = [(Selling price - Cost price) × 100] / Cost price = [(SP - CP) × 100]/CP

In formula,

If, Selling price - Cost price > 0, then, there is profit

If, Selling price - Cost price < 0, then, there is loss 
 
[TIP: Profit and loss are always calculated on cost price unless otherwise stated in the question.] 
 
E.g. A person buys a toy for 50 and sells it for 75. What will be his gain percent?

So, according to our question,

Selling Price = 75 & Cost Price = 50

Selling Price - Cost Price = 75 - 50 = 25 > 0. So, there would be profit.

Profit (%) = (75 - 50)/50 × 100 = 25/50 × 100 = 1/2 × 100 = 50% (Ans.)

So, he would get 50% profit.

Rearranging above formula we would get

⇒ SP = [(100 + gain%) / 100] × CP

⇒ SP = [(100 - Loss%) / 100] × CP

⇒ CP = [100 / (100 + gain%)] × SP

⇒ CP = [100 / (100 - Loss%)] × SP

We don’t have to remember these formulas; they are just derived from the main formula.

E.g. Find the SP, when CP is 80 rs. and the gain is 20%.

We know the direct formula for SP when there is gain

⇒ SP = [(100 + Gain%) / 100] × CP = [(100 + 20) / 100] × 80 = 1.2 × 80 = 96 rs. 
 
Now, let's learn a short trick or, we can say, a time saving approach to solve these questions by introducing a new term i.e. Multiplying Factor.

<h2 id="content-id-1725-3">Multiplying Factors</h2>

Multiplying factors are values used to increase or decrease a quantity by a certain proportion or percentage. Let's look at this diagram to understand what multiplying factors are.

<img alt="Multiplying Factor Profit and Loss" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Multiplying Factor Profit and Loss.webp" style="height:150px; width:300px">

So, we got,

Cost Price × Multiplying Factor = Selling Price

irrespective of profit/loss, just simple.

E.g. Find the SP, when CP is 80 rs. and the gain is 20%.

So multiplying factor would be = 1 + 20/100 = 1 + 0.2 = 1.2

So, by multiplying factor method

⇒ SP = 80 × 1.2 = 96

This is the same question which we had solved above with two methods.

Let’s take some variety of questions related to profit and loss.

<h2 id="content-id-1725-4">Questions on Profit and Loss</h2>

E.g. A shopkeeper buys 100 eggs at Rs. 1.20 per piece Unfortunately 4 eggs got spoiled during transportation. The shopkeeper sells the remaining eggs at rs. 15 a dozen. Find his profit or loss.

The cost price of one egg = 1.2 rs.

Cost Price of 100 eggs = 100 × 1.2 = 120 rs.

The selling price of one egg = 15 / 12 = 1.25 rs. 

[One Dozen = 12 units]

The selling price of (100 - 4) eggs = 96 × 15 / 12 = 120rs. (Ans.)

⇒ SP = CP

So, there is neither profit nor loss incurred.

E.g. A grocer buys 160 kg of rice at 27 per kg and mixes it with 240 kg of rice available at 32 per kg. At what rate per kg should he sell the mixture to gain 20% on the whole?

Total rice =160 + 240 = 400 kg

Total cost price of rice = 160 × 27 + 240 × 32 = 12000 rs.

The multiplying factor would be = 1 + 20 / 100 = 1 + 0.2 = 1.2

By multiplying factor

⇒ SP = CP × MF

⇒ SP = 12000 × 1.2 = 14000 rs.

E.g. A man sold two radios for 2000 each. At first, he gains 16%, and on the other he loses 16%. Find his gain or loss percent in the whole transaction.

Let’s talk about the first case

⇒ SP = 2000 rs.

⇒ MF = 1 + 16/100 = 1.16

⇒ SP = MF × CP

⇒ CP = SP / MF

⇒ CP = 2000 / 1.16 = 1724 (Approx.)

Now, see the second case

⇒ SP = 2000 rs.

⇒ MF = 1 - 16/100 = 0.84

⇒ SP = MF × CP

⇒ CP = SP / MF

⇒ CP = 2000 / 0.84 = 2381 (Approx.)

So total SP = 2000 + 2000 = 4000

So total CP = 2381 + 1724 = 4104

Profit% = (SP - CP)/CP × 100

Profit% = (4000 - 4104)/4104 × 100

Profit% = -104/4104 × 100 = 2.56% (Ans.)

 
NOTE: If a person sells two similar articles, one at a gain of a% and another at a loss of a%, Then the seller always incurs a loss which is given by

Loss% = (x / 10)2

E.g. A man sold two radios for 2000 each. At first, he gains 16%, and on the other he loses 16%. Find his gain or loss percent in the whole transaction

By applying formula, Loss (%) = (x/10)2 = (16 / 10)2 = 2.56% (Ans.)

E.g. 32% of the goods in a shop is sold at 25% profit and remaining at c% loss. If the overall loss is 2.2%, what is the value of c?

Remaining amount of goods sold at c% loss = 100 – 32 = 68%

Overall loss = -32/100 × Profit% + 68/100 × Loss%

⇒ 2.2 = -32/100 × 25 + 68/100 × c

⇒ 2.2 = -8 + 0.68c

⇒ 10.2 = 0.68c

⇒ c = 10.2/0.68 = 15

So we learned how to apply a formula. We don't have to memorize them, we just have to understand them, but sometimes short-tricks exist which are very important in competitive exams like WBP Constable Exam.

So, this is all for today. We have leant the basics of Profit and Loss with their basic formulae. In our next blog, we will discuss the the topics like <a href="https://www.thedhronas.com/blog/discounts-and-dishonest-dealings-theory-for-wbp-constable-exam" target="_blank">Discounts, Successive Discounts and Dishonest Dealings</a>. We will also discuss some shortcut tricks and some more formulae to bring your problem solving time from 90 seconds to 30 seconds. Till then, stay tuned!!

Learn and Practice Profit and Loss

লাভ এবং ক্ষতি শিখুন এবং অনুশীলন করুন

Profit and Loss Theory and Questions for WBP Constable Exam

WBP কনস্টেবল পরীক্ষার জন্য লাভ এবং ক্ষতির তত্ত্ব এবং প্রশ্ন

Welcome to Dhronas' ultimate resource for mastering basic algebra in preparation for the WBCS Prelims Exam. Algebra is a fundamental mathematical concept that plays a crucial role in various competitive exams, including the WBCS. In this carefully curated collection, we provide you with a comprehensive understanding of basic algebraic principles, equations, and problem-solving techniques.

Our theory and practice questions are designed to help you build a strong foundation in algebra, ensuring that you're well-prepared to tackle algebra-related questions in the WBCS Prelims Exam. Get ready to enhance your algebraic skills and boost your confidence as you embark on this learning journey with us.

<h2 id="content-id-1727-0">Topics covered in Basic Algebra</h2>

Algebra is an important subject for the WBCS Prelims Exam, as it is covered in the General Studies section. The General Studies section covers a wide range of topics, including current events, history, geography, economics, civics, and science and technology. However, algebra is one of the few topics that is specifically mentioned in the syllabus for the General Studies section.

The following are some of the basic algebra topics that are covered in the WBCS Prelims Exam:

<ul>
	<li>Linear equations and inequalities</li>
	<li>Sets and relations</li>
	<li>Functions</li>
	<li>Quadratic equations and inequalities</li>
	<li>Arithmetic progressions and geometric progressions</li>
	<li>Matrices and determinants</li>
	<li>Probability and statistics</li>
</ul>

So in this blog, we will discuss the Linear Equations. Let’s try to learn what the equation is first and its Components and then we will discuss the Linear Equation.

<h2 id="content-id-1727-1">Equations and its Types</h2>

A statement of equality which involves variables and number(s) is called an equation.

E.g. 4x = 12, 7 - 2z3 = 5 etc.

Equations are of three types:

<ol>
	<li>Linear Equations</li>
	<li>Quadratic Equations</li>
	<li>Polynomials</li>
</ol>

So, let's discuss linear equation first.

<h2 id="content-id-1727-2">Linear Equations Theory and Examples</h2>

An equation in which the highest power of the variables involved is one, is called a linear equation.

E.g. x/3 = 8, x + y = 10 etc.

<ul>
	<li>Linear equation in one variable: An equation containing only one variable with the highest power one. (Represent point in the number line). 
	E.g. 16x = 56, 78z = 81</li>
	<li>Linear equation in two variables: An equation containing only two variables with the highest power one. A graph of linear equations ax + by = c is a straight line. 
	E.g. 3x + 2y = 34, 3 = x / (5 - t) etc.</li>
	<li>Linear equation in three variables: A linear equation in which numbers of unknown variables are three, is known as the linear equation in three variables. (Represents a place in 3 dimensions). 
	E.g. 4x + 6y + 7z = 20, x + y + 2z = 5 etc.</li>
</ul>

We learned about the different types of equations but what are the uses of these equations? How to solve these equations? What is consistency in equations? We will learn all these in this blog

Let’s start by studying the consistency of the system.

<h2 id="content-id-1727-3">Consistency of Linear Equation</h2>

A set of linear equations is said to be consistent if there exists at least one solution for these equations, otherwise, the equation is inconsistent.

Let us consider a system of two linear equations as shown, a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0

Consistent System: If the system has at least one solution exists then there would be two possibilities.

<ul>
	<li>Independent Equation: System has a unique solution or a1/a2 ≠ b1/b2, it represents a pair of intersecting lines.</li>
	<li>Dependent Equation: System has infinite solution or a1/a2 = b1/b2 = c1/c2, it represents a pair of parallel lines.</li>
</ul>

Inconsistent System: If system of equations has no solution then, 

a1/a2 = b1/b2 ≠ c1/c2

E.g. Check whether the given system is consistent or not. If yes, then find the solution.

x - 2y = 0

3x + 4y - 20 = 0

Sol: Here, a1 = 1, a2 = 3

b1 = - 2, b2 = 4

c1 = 0, c2 = -20

a1 / a2 = 1/3,

b1 / b2 = (-2) / 4 = (-1) / 2,

c1 / c2 = 0

here, a1/a2 ≠ b1/b2

We don’t know how to find solution so let’s try to learn how to find out first.

<h2 id="content-id-1727-4">Methods to Solve Linear Equations</h2>

<ul>
	<li>Substitution Method</li>
	<li>Elimination Method</li>
	<li>Cross Multiplication Method</li>
</ul>

Substitution method: In this method, first the value of one variable must be represented in the form of another variable and put this value in another equation and solve it. Thus, the value of one variable is obtained and this value is used to find the value of another variable.

E.g. Solve the following equations with the substitution method.

2x - y = 3, 4x - y = 5

Sol: 2x - y = 3 … (i)

⇒ y = 2x - 3

⇒ 4x - y = 5 … (ii)

Putting the value of y in equation (ii)

⇒ 4x - (2x - 3) = 5 ⇒ 2x + 3 = 5 ⇒ 2x = 2 ⇒ x = 1

Now putting the value of x in (ii)

⇒ 4(1) - y = 5 ⇒ 4 - y = 5 ⇒ y = -1

Hence x = 1 and y = -1

Elimination method: In this method, the coefficient of one of the variables of each equation become equal to the coefficient of other equation by multiplying by a proper multiple. By solving these equations and by which we get the value of another variable and thus with the help of this value, we can find the value of another variable.

E.g. Solve the following equations with the elimination method.

2x - y = 3, 4x - y = 5

Sol: 2x - y = 3 (i) 4x - y = 5 (ii)

Subtracting (ii) from (i)

⇒ −2𝑥 = −2

⇒ x = 1

By putting the value of x in (i)

⇒ 2(1) - y = 3

⇒ 2 - y = 3

⇒ y = -1

We got the same answer by both methods, let’s try the cross multiplication method.

Cross multiplication method: Cross multiplication method is a technique used to solve linear equations that involve fractions. This method is used to simplify the equation by multiplying both sides of the equation by the denominators of the fractions, eliminating the fractions altogether.

Let,

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Are two equations, by cross-multiplication method

⇒ x / (b1 c2 - b2 c1) = y / (c1 a2 - c2 a1) = 1 / (a1 b2 - a2 b1)

E.g. Solve the following equations with a cross-multiplication method.

2x - y - 3 = 0 and 4x - y - 5 = 0

Sol: By putting the value of a1, b1, c1, a2, b2 and c2 in formula

x / (b1 c2 - b2 c1) = y / (c1 a2 - c2 a1) = 1 / (a1 b2 - a2 b1)

⇒ x / [-1 × (-5) - (-1) × (-3)] = y / [(-3) × 4 - (-5) × 2[ = 1 / [2 × (-1) - 4 × (-1)]

⇒ x / (5 - 3) = y / (-12 + 10) = 1 / (-2 + 4)

⇒ x / 2 = y / (-2) = 1 / 2

⇒ x = 1, y = -1

Now, we will solve some word problem questions using the concepts we learn in this blog.

<h2 id="content-id-1727-5">Basic Algebra Questions</h2>

E.g. The sum of four numbers is 96. When 10 and 2 are added to the first two, and 6 and 14 are subtracted from the 3rd and 4th, all the four numbers will be equal. What are the numbers?

Sol: Let four numbers be a, b, c and d a + b + c + d = 96 ...(1)

a + 10 = b + 2 = c – 6 = d – 14 = M (let)

a = M – 10, b = M – 2, c = M + 6, d = M + 14

From equation (1)

M – 10 + M – 2 + M + 6 + M + 14 = 96 4M + 8 = 96

4M = 96 – 8 = 88 M = 88/4 = 22

⇒ a = M – 10 = 22 – 10 = 12

⇒ b = M – 2 = 22 – 2 = 20

⇒ c = M + 6 = 22 + 6 = 28

⇒ d = M + 14 = 22 + 14 = 36

Now, let’s solve another linear algebra word problem using the concept of elimination method.

E.g. In the zoo, there are some ducks and some tigers. If the head is counted there are 120 heads, while the legs are counted are 400 legs . What is the number of tigers in the zoo?

Sol: Total number of heads = 120

Total number of legs = 400

Ducks and tigers have one head but different number of legs Let the number of tigers be x and ducks be y.

Ducks have 2 legs and tigers have 4 legs.

⇒ ducks legs + tigers legs = Total number of legs

⇒ 4x + 2y = 400   ——— (1)

⇒ x + y = 120   —— (2)

Multiplying equation (2) by 2 and subtracting from equation (1),

We get, 2x = 160

⇒ x = 80

We will solve a bit complicated problem using the same set of principles that we learn in this blog.

E.g. Box A, B, C, D, E have mangoes. If 60 mangoes are drawn from box B and filled in box A then box B will have as many mangoes as box E has and if 60 mangoes are drawn from box A and filled in box B then box B will have as many mangoes as box D has. Boxes A and B together have 200 mangoes more than boxes D and E together have. If box B has 40 mangoes more than box C has and the total number of mangoes that they have is 2660, how many mangoes does box B have?

Sol: B - 60 = E ...(1)

B + 60 = D ...(2)

A + B = D + E + 200 ...(3) B = C + 40 ...(4)

A + B + C + D + E = 2660 ...(5)

From (1) and (2)

2 B = D + E ...(6)

From (3) and (6)

A = 2B + 200 ...(7)

Using (4), (6) and (7) in (5)

⇒ (B + 200) + B + (B - 40) + 2(B) = 2660

⇒ 5 B = 2500

⇒ B = 500

In this example, every time different number of mangoes were taken out in different boxes. First, we converted every statement in linear equation form and by solving by linear equations, we obtained the required answer.

During our initial learning phase, we were exposed to different types of equations and the concept of consistency in a system. Upon determining consistency, we then evaluated if the equation had a unique solution. Subsequently, we applied these concepts to solve practical problems that involved the use of linear algebra. These skills are highly beneficial in addressing related questions that may appear in the WBCS Prelims Exam.

So, this is all for linear equations. In our next blog of Basic Algebra, we will discuss the Quadratic Equations. Till then, stay tuned!!

Learn and Practice Basic Algebra

সাধারণ বীজগণিত শিখুন এবং অনুশীলন করুন

Theory and Questions on Basic Algebra for WBCS Prelims Exam

পশ্চিমবঙ্গ সিভিল সার্ভিস প্রিলিম পরীক্ষার জন্য সাধারণ বীজগণিতের তত্ত্ব এবং প্রশ্ন

Numbers are the basic pillar of Mathematics, the language of the universe. The thing which we learned in our first mathematics class. The thing we deal with, in our day-to-day life. The thing which is almost everywhere. 

Well, we are not here to talk about the universe. But let me make this thing very clear. Classification of Numbers is the most important topic of the quant section. Not only this one, but the entire “Number System”. But I promise you, I will make this chapter most interesting and a favorite one. 

So, just be with me in the entire session and see how these numbers are going to amaze you every time. So, be ready to enjoy as well as learn.

<h2 id="content-id-1805-0">Overview of the Classification of Numbers</h2>

The classification of numbers is a fundamental concept in mathematics, serving as the building block for a wide range of mathematical disciplines. This overview delves into the various categories of numbers, including natural numbers, integers, rational numbers, irrational numbers, and real numbers.

<img alt="Classification of Numbers" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Classification of Numbers.webp" style="height:200px; width:400px">

Understanding these classifications is pivotal in mathematics and its applications. Whether you're a student seeking a strong foundation in math or a curious learner exploring the beauty of numbers, this guide will provide you with a comprehensive insight into the world of mathematical classification.

Here is the chart which classifies numbers.

<img alt="Overview of the Classification of Numbers" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Overview of the Classification of Numbers.webp" style="height:400px; width:400px">

Now that you've taken a look at the overview, let's understand what all these numbers mean.

<h2 id="content-id-1805-1">Real Numbers</h2>

Real numbers are the numbers that we use to represent quantities in the real world. These are the numbers whose squares are positive numbers. They include all the rational numbers, such as integers and fractions, as well as the irrational numbers, such as pi and the square root of 2.

Real numbers can be thought of as all the points on a number line. The points corresponding to integers are equally spaced, but the points corresponding to irrational numbers are not.

Real numbers are used in many different areas of mathematics, including arithmetic, algebra, geometry, and calculus. They are also used in many different scientific disciplines, such as physics, chemistry, and engineering.

Here are some examples of real numbers:

<ul>
	<li>Integers: 1, 2, 3, -4, -5, ...</li>
	<li>Fractions: 1/2, 2/3, 3/4, -4/5, -5/6, ...</li>
	<li>Irrational numbers: π, √2, e, ...</li>
</ul>

We will discuss all these examples in detail.

Some of the important properties of real numbers include:

<ul>
	<li>Order: Real numbers are ordered, meaning that for any two real numbers, a and b, either a is less than b, a is greater than b, or a is equal to b.</li>
	<li>Arithmetic operations: Real numbers are closed under the arithmetic operations of addition, subtraction, multiplication, and division. This means that the sum, difference, product, and quotient of any two real numbers is also a real number.</li>
	<li>Density: Real numbers are dense, meaning that between any two real numbers, there is always another real number.</li>
	<li>Completeness: Real numbers are complete, meaning that every non-empty set of real numbers that has an upper bound has a least upper bound.</li>
</ul>

Real numbers are an essential part of mathematics and science. They allow us to represent and measure quantities in the real world, and to solve complex problems.

<h2 id="content-id-1805-2">Imaginary Numbers</h2>

Imaginary numbers are numbers that are not real numbers. They are defined as multiples of the imaginary unit i, which is defined by the property i2 = -1.

[i = √(-1), i2 = -1, i3 = -i, i4 = 1]

e.g. If the number 6i is given, it means it’s value is 6 × √(-1) = 6√(-1) = √(-36).

Imaginary numbers are often used in mathematics and physics to represent quantities that cannot be represented by real numbers. For example, the square root of a negative number is an imaginary number.

Imaginary numbers can be added, subtracted, multiplied, and divided like real numbers. However, there are some important differences between the two types of numbers. For example, the product of two imaginary numbers is a real number, and the quotient of two imaginary numbers is a real or imaginary number, depending on the values of the two numbers.

Imaginary numbers can be represented on a complex plane, which is a two-dimensional plane with a real axis and an imaginary axis. The real part of an imaginary number is plotted on the real axis, and the imaginary part of the imaginary number is plotted on the imaginary axis.

Now that, we've an idea about what the real and imaginary numbers are. Let's understand the types of real numbers.

Real numbers are of two types. i.e.

<ol>
	<li>Rational Numbers</li>
	<li>Irrational Numbers</li>
</ol>

So let's start with the rational numbers first.

<h2 id="content-id-1805-3">Rational Numbers</h2>

The numbers which can be written in the form p/q where p and q are co-prime integers and q ≠ 0. i.e. In decimal form, they are either terminating or recurring numbers. For example, 0.56, 0.45454545...., 4/11, all are rational numbers.

Let’s find out how we can convert a rational number from decimal form to fraction form.

e.g. Express 0.82828282…. in the form of a fraction.

Ans: Let x = 0.82828282… _____(1)

As the period containing 2 digits, we multiply by 102 = 100,

∴ 100x = 82.82828282…. ______(2)

Now, (2) – (1), we get,

⇒ 99x = 82

⇒ x = 82/99

Hence, 0.82828282 can be written as 82/99.

Let's look at one more example.

e.g. Express 0.024024024024024024….. in the form of a fraction.

Ans: Let x = 0.024024024024…. ____(1)

As the period is containing 3 digits, we multiply with 103 = 1000

∴ 1000x = 24.02404024…. ____(2)

Now, (2) – (1), we get,

⇒ 999x = 24

⇒ x = 24/999 = 8/333.

Hence, 0.024024024024... can be written as 8/333.

Rational numbers can be further classified into two types:

<ol>
	<li>Integers</li>
	<li>Decimals</li>
</ol>

We will discuss it further in detail. But for now, let's look at the other type of the real numbers i.e. Irrational Numbers.

<h2 id="content-id-1805-4">Irrational Numbers</h2>

Irrational numbers are real numbers that cannot be expressed as a ratio of two integers. They are often said to have decimal representations that never end or repeat.

In other words, the numbers which cannot be written as p/q are Irrational Numbers. So, in decimal form, these numbers are non-terminating and non-recurring numbers. Some examples of irrational numbers include π, √2, and e.

Here are some of the properties of irrational numbers:

<ul>
	<li>They cannot be expressed as a ratio of two integers.</li>
	<li>Their decimal representations never end or repeat.</li>
	<li>They are dense on the number line, meaning that between any two irrational numbers there is always another irrational number.</li>
	<li>They are complete, meaning that every non-empty set of irrational numbers that has an upper bound has a least upper bound.</li>
</ul>

Irrational numbers are also used in many different scientific disciplines, such as physics, chemistry, and engineering.

For example, π is used to calculate the circumference of a circle, and √2 is used to calculate the length of the diagonal of a square.

Irrational numbers are an important part of mathematics and science. They allow us to solve complex problems and to make accurate measurements of the world around us.

Now, let's get back to the types of rational numbers. We will understand integers first.

<h2 id="content-id-1805-5">Integers</h2>

An integer is a number that can be written without a fractional component. For example, 21, 4, 0, and -2048 are integers, while 9.75 and √2 are not.

Integers can be positive, negative, or zero. They are the most basic type of number, and they are used in many different areas of mathematics, including arithmetic, algebra, and geometry.

Integers can be represented on a number line, with the positive integers on the right and the negative integers on the left. Zero is located in the middle of the number line.

Integers can be added, subtracted, multiplied, and divided. They can also be compared to each other using the symbols <, >, and =.

Integers can be further classified as:

<ol>
	<li>Negative Integers: A negative number is an integer that is less than zero. Negative numbers are often used to represent quantities that are missing or absent, such as a debt or a loss. For example, a temperature of -10 degrees Celsius is 10 degrees Celsius below freezing. Negative numbers are represented by a minus sign (-) in front of the number. For example, -5 is negative five.</li>
	<li>Natural Numbers (Positive Integers): Natural numbers are the integers that are more than zero. They are also known as counting numbers or positive integers. Natural numbers start from 1 and go up to infinity. This means that they include all the whole numbers, but not zero.</li>
	<li>0 </li>
	<li>Whole Numbers: Whole numbers are basically natural numbers, including 0. These are also called non-negative integers.</li>
</ol>

Natural Numbers can also be classified further that we will discuss thoroughly later in this blog. Let's first understand what are decimals.

<h2 id="content-id-1805-6">Decimals</h2>

A decimal is a number that is written with a decimal point. The decimal point separates the whole number part of the number from the fractional part. For example, the decimal number 3.14159 represents the number three and fourteen hundred fifteen thousandths.

Decimals can be used to represent any real number, including integers, fractions, and irrational numbers. They are a convenient way to write numbers that are too large or too small to be written as fractions.

E.g. 2.332, 0.5, 1.25, 3.14159, -2.3456, 0.00001 are decimal numbers.

Decimals can further be classified as:

<ol>
	<li>Terminating Decimals: A terminating decimal is a decimal number that has a finite number of digits after the decimal point. In other words, these numbers end after a fixed number of digits. For example, 0.87, 82.25, 9.527, 224.9803, etc. are all terminating decimals.</li>
	<li>Non-terminating Recurring Decimals: A non-terminating recurring decimal is a decimal number that has a digit or sequence of digits that repeats endlessly after the decimal point. For example, 0.33333..., 4.65656565..., and 0.171717... are all non-terminating recurring decimals. Non-terminating recurring decimals can be represented as a fraction with a repeating numerator. For example, the non-terminating recurring decimal 0.33333... can be written as the fraction 1/3 and the non-terminating recurring decimal 0.17171717... can be written as the fraction 17/99.</li>
</ol>

So, now we can understand that rational numbers are either integers, terminating decimals or recurring decimals. Hence, those numbers which are neither terminating and non-recurring, are called irrational numbers.

Now let's discuss the Natural Numbers.

Natural Numbers can further be classified as:

<ol>
	<li>Prime Numbers</li>
	<li>Composite Numbers</li>
	<li>1</li>
</ol>

Let's discuss it thoroughly.

<h2 id="content-id-1805-7">Prime Numbers</h2>

A prime number is a natural number greater than 1 that has exactly two distinct natural number factors (divisors): 1 and itself. For example, 2, 3, 5, 7, 11, 13, are prime numbers.

From 1 to 50, we have 15 prime factors. From 1 to 100, we have 25 prime factors. And these are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.

Prime numbers have some properties like:

<ol>
	<li>No integer can divide them completely other than 1 and the number itself (that’s why they have only two factors).</li>
	<li>Every prime number should be in the form of [4n + 1 or 4n – 1] for less than 5 and [6n + 1 or 6n – 1] for more than or equal to 5. But the reverse of this statement is not true. e.g. 25 can be written as 6(4) + 1 but it is not a prime number. </li>
	<li>Every integer, greater than 1, can be written as the product of prime numbers. </li>
	<li>2 is the only even number that is prime. [Even numbers are the positive integers that are divisible by 2 i.e. 2, 4, 6, 8, 10, etc. We will discuss it thoroughly in the next blog]</li>
</ol>

Since, there is no formula to find out whether a number is prime or not. But for small numbers, we can use this trick:

Take the square root of the number (approximately) and check its divisibility by the prime numbers smaller than its square root. 

e.g. Check whether 97 is a prime number or not.

Ans: Square root of 97 will be between 9 and 10. So the prime numbers smaller than 9 are 2, 3, 5 and 7. Since 97 is not divisible by any of these, hence it is a prime number.

e.g. Check whether 91 is a prime number or not.

Ans: Square root of 91 will be between 9 or 10. So the prime numbers smaller than 9 are 2, 3, 5 and 7. Since 91 is divided by 7 (13 × 7 = 91). 91 is not a prime number.

We will discuss about prime numbers throughout the 'Number System' series as the entire number system is dependent on the properties of prime numbers. And yeah, number system is the basic pillar of the entire mathematics. So you can now understand the importance of this topic.

<h2 id="content-id-1805-8">Composite Numbers</h2>

Composite Number is a natural non-prime number greater than 1 i.e. all the non-prime numbers greater than 1 are composite numbers. These numbers have more than two factors. In other words, we can say, Composite numbers are the product of prime numbers. 4 is the first composite number. Examples are composite numbers are 4, 6, 8, 9, 10, 12 etc.

Now, let's understand the important thing:

1 is neither Prime nor Composite number.

Many students get confused about 1, thinking that 1 is a prime number. But no, 1 is neither prime as it doesn't even have two factors and nor composite as it doesn't have more than two factors, obviously.

In conclusion, the classification of numbers serves as the bedrock of mathematics, offering a structured framework to understand the diverse range of numerical values. From natural numbers, which initiate counting, to rational and irrational numbers that span the mathematical landscape, these classifications form the basis for various mathematical operations and real-world applications.

Whether solving complex equations, analyzing data, or exploring the profound mysteries of number theory, a solid grasp of number classification is indispensable. It is not just a mathematical concept but a fundamental tool that empowers individuals to navigate the quantitative world with confidence and precision. Embracing this knowledge is the key to unlocking a deeper understanding of the mathematical universe and its practical significance.

So, this is all for this blog. We will discuss the <a href="https://www.thedhronas.com/blog/learn-the-divisibility-rule-of-numbers-for-wbcs-prelims-exam" target="_blank">Divisibility Rule of numbers</a> in our next blog of this 'Number System' blog series. Till then, keep practicing!

Learn the basics in the classification of Numbers topic of the &#39;Number system&#39; Blog series for WBCS Exam.

WBCS পরীক্ষার জন্য &#39;নম্বর&nbsp;সিস্টেম&#39; ব্লগ সিরিজের নম্বর বিষয়ের শ্রেণীবিভাগের মৌলিক বিষয়গুলো শিখুন।

Understand the Classification of Numbers for WBCS Prelims Exam

চলুন WBCS প্রিলিম পরীক্ষার  জন্য সংখ্যার শ্রেণীবিভাগ গুলি বুঝে নেওয়া যাক

In our last blog, we have learned the basics of <a href="https://www.thedhronas.com/blog/profit-and-loss-theory-and-questions-for-wbp-constable-exam" target="_blank">Profit and Loss for WBP Constable Exam</a>. If you haven't read that blog yet, just click on the embedded link and read it now before going through this blog.

Now, we all learned about the basics of profit and loss in that blog, so in continuation of that we will learn about Discounts and the Dishonest dealings. It's an important topic with your exam point of view and questions are widely asked from it.

We all are slaves of marketization; we all are greedy for more products and the market is providing us our needy things. Last time when you went to markets did you notice there are terms like 20% off, SALE SALE SALE. On e-commerce sites, we saw discounts on items. We will try to solve this type of question where we have to find questions related to this which are asked in the WBP Constable Exam.

<h2 id="content-id-1823-0">Discounts</h2>

A discount is a reduction in the selling price of a product or service. Discounts can be offered in a variety of ways, including as a percentage of the original price, a fixed amount off the original price, or a free gift or service with purchase.

In simple words, Discount is defined as the amount of rebate given on a fixed price (called a marked price) of an article.

Marked Price: The marked price is the price at which a product or service is offered for sale. It is also known as the list price or tag price. The marked price is usually set by the retailer, but it can also be set by the manufacturer or wholesaler.

Marked price = CP + Mark-up,

So, we got to know, Goods are sold at market price and if there is no discount then,

⇒ Marked price = CP

So, we got to know how marked price is calculated but in case of discount product it sold at d% discount,

Selling price = Marked price - Discount

Selling price = Marked Price (MP) - discount on MP(d%)

[NOTE: Discount is always calculated on the marked price, not on cost price and mark-up is calculated on the basis of CP.]

MP(1 - d/100) = SP = CP(1 + a/100)

Where, SP = selling price, MP = Marked price, CP = Cost price, d = Discount % and a = Gain%.

Now, let's look at some examples on discounts.

E.g. A trader offers his consumer 10% discount still makes a profit of 26%. Then what is the actual cost of an article marked at rs 280?

Sol: By putting the values in the formula

⇒ MP(1 - d/100) = SP = CP(1 + a/100)

⇒ 280(1 - 10/100) = CP(1 + 26/100)

⇒ 280 × 0.9 = CP × 1.26

⇒ CP = (280 × 0.9) / 1.26 = 200 rs. (Ans.)

E.g. If the marked price of an article is Rs.660 and the discount is 10%, then what is the selling price of the article?

Sol: Putting the values in formula

⇒ MP(1 - d/100) = SP = CP(1 + a/100)

⇒ MP(1 - d/100) = SP

⇒ 660(1 - 10/100) = SP

⇒ 660(1 - 0.1) = SP

⇒ 660 × 0.9 = SP

⇒ SP = 600 Rs. (Ans.)

Let's level up the questions a bit more.

E.g. The marked price of a bicycle is 1100. A shopkeeper allows a discount of 10% and gets a profit of 10%. Find the cost price of the bicycle.

Sol: As we have given gain%, MP and discount% so we will use our general formula

⇒ MP(1 - d/100) = SP = CP(1 + a/100)

⇒ MP(1 - d/100) = CP(1 + a/100)

⇒ 1100(1 - 10/100) = CP(1 + 10/100)

⇒1100 × 0.9 = CP × 1.1

⇒ CP = (1100 × 0.9) / 1.1 = 900 rs. (Ans.)

So, now we have a clear understanding on discounts, let's understand the next topic i.e. Successive Discounts.

<h2 id="content-id-1823-1">Successive Discounts</h2>

In simpler words, when two or more discounts are allowed one after the other, then such discounts are known as successive discounts.

Let r1%, r2%, r3% ... be the series of discounts on an article with marked price P then the selling price (SP) of the article is given by:

SP = P × (1 - r1/100)(1 - г2/100)(1 - г3/100) ...

This the general formula for successive discounts. If you observe it closely, you can solve this equation if you have a good command on Multiplying Factor, that we've learned in our previous blog. Let's understand this formula first and then we will discuss some shortcut formulas for two successive discounts to avoid the calculations.

<img alt="Successive Discounts" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Successive Discounts.webp" style="height:200px; width:400px">

E.g. An item is sold for 680 rs. by allowing a discount of 15% on its marked price. What is the marked price of an item?

Sol: SP = P × (1 - r/100)

⇒ P = SP/(1 - r/100)

⇒ P = 680/(1 - 0.15)

⇒ P = 680 / 0.85 = 800 rs. (Ans.)

E.g. Which is a better bargain for the customer?

1. Successive discounts of 20% and 15%

2. Successive discounts of 10% and 25%

Sol: Let's calculate the total discount for the first case, as we don't have given marked price so we assume MP = 100

⇒ SP = 100 × (1 - 20/100)(1 - 15/100) = 100 × 0.8 × 0.85 = 68

So the discount would be 100 - 68 = 32%

In the second scenario,

⇒ SP = 100 × (1 - 10/100)(1 - 25/100) = 100 × 0.9 × 3/4 = 67.5

The discount would be 100 - 67.5 = 32.5%

So the second bargain would be better. (Ans.)

E.g. Successive discount of 10%, 15%, 20%, and 25% is equivalent to?

Sol: Let the marked price of the item be 100 rs.

Then the selling price would be

⇒ SP = P × (1 - r1/100)(1 - г2/100)(1 - г3/100)(1 - г4/100) = 100 × (1 - 10/100)(1 - 15/100)(1 - 20/100)(1 - 25/100)

⇒ SP = 100 × 0.9 × 0.85 × 0.8 × 0.75 = 45.9 rs.

So, the discount would be = 100 - 45.9 = 54.1% (Ans.)

NOTE:

In the case of two successive discounts:

Total discount = x + y - xy/100

Where x, y are the successive discounts.

Now, let's check the above example again.

E.g. Which is a better bargain for the customer?

1. Successive discounts of 20% and 15%

2. Successive discounts of 10% and 25%

Sol: In the first case, the total discount would be,

⇒ 20 + 15 - (20 × 15)/100 = 35 - 300/100 = 35 - 3 = 32%

In the second case,

⇒ 10 + 25 - (10 × 25)/100 = 35 - 2.5 = 32.5%

The bargain would be higher in the second case. (Ans.)

This is much easier than the above one. Right?

NOTE:

If a shopkeeper wants a profit of R% after allowing a discount of r% then

Marked Price = CP((100 + R)/(100 - r)}

Or

Cost Price = MP{(100 - r)/(100 + R)}

E.g. The marked price of a bicycle is 1100. A shopkeeper allows a discount of 10% and gets a profit of 10%. Find the cost price of the bicycle.

Sol: So by formula,

⇒ Cost Price = MP{(100 - r)/(100 + R)}

⇒ Cost Price = 1100 × {(100 - 10)/(100 + 10)) = 1100 × 90/110 = 900 rs. (Ans.)

Now let's take one hard examples so that you can understand it more clearly.

E.g. A shopkeeper offers two plans of discount. In scheme A, two successive discounts of 25% and 16% are offered and in scheme B, 38% of one-time discount is offered. If the marked price is Rs 200, what is the difference between the discounted amount if scheme I and scheme II?

Sol: In scheme I:

Effective discount on two successive discounts = (x + y - xy/100)

⇒ (25 + 16 - 25 × 16/100) = 25 + 16 - 4 = 37%

Difference in the discount% in scheme I and scheme II = 38 - 37 = 1%

1% of M.P. = 1/100 × 200 = Rs 2, scheme II offers more discounts.

So, this is all for discounts. Now, let's move on to the most interesting topic of this Profit and Loss blog series for WBP constable Exam i.e. Dishonest Dealings.

<h2 id="content-id-1823-2">Dishonest Dealings</h2>

We learnt the basics of Profit and Loss & case of discounts and successive discounts in the last chapters. We will try to understand the concept of the Dishonest Shopkeepers in which we will calculate profit and loss when a dealer uses different cheat tricks with customers to fool them.

Some shopkeepers use different ways to gain profit illegally by cheating with customers. He might use false weights, report the lower weight of his weighing instrument, etc. This will be profitable for the shopkeeper but would cause loss to the buyer.

Use of False weight for Selling an Article:

A shopkeeper uses a false scale to sell his goods to the customer. The value of a false scale would be lower than the true scale, so the shopkeeper gains profit by selling a lesser quantity of goods to the customer.

So, the profit percentage would be:

Profit% = [(true weight - false weight)/(false weight)] × 100%

Here, while calculating gain or profit percent, we have taken false weight as a base. Because CP is what is paid when an item is purchased or manufactured. Here, in this case, the dishonest shopkeeper is telling false weight to be the CP and he is gaining only when sells at the false weight.

E.g. A dishonest dealer professes to sell his goods at cost price but he uses a weight of 930g for 1kg weight. Find his gain percent.

Sol: This dealer sells his goods at CP but uses false weight so

Profit% = [(true weight - false weight)/(false weight)] × 100%

Profit% = [(1000 - 930) / 930] × 100% = 70/930 × 100%

Profit% = 7/93 × 100% = 7.53% (Ans.)

We discussed the case where the dealer sells his goods at cost price. What would happen if he did not sell his product at cost price and used a false scale too. Let him not sell his product at CP and gains/loss of x%.

By combining these two effects the dealer would get a gain of G% in selling his goods to the consumer by using false weight.

E.g. A man sells rice at 10% profit and uses 30% less than the actual measure. His gain percent is?

Sol: Let the weight be 1000 g and if he uses 30% less weight then the false scale would be 1000 × 0.7 = 700 g (multiplying factor)

According to formula,

⇒ (100 + G) / (100 + x) = (true value) / (false value)

⇒ (100 + G) / (100 + 10) = 1000 / 700

⇒ 100 + G = 10/7 × 110

⇒ 100 + G = 157.1428

⇒ G = 57.1428% Profit (Ans.)

SPECIAL CASE: If a shopkeeper sells his goods at a% loss on cost price but uses 'b' g instead of 'c' g, then his percentage profit or loss is

Profit or Loss % = [(100 - a) × c/b - 100]%

E.g. A dealer sells goods at a 6% loss on cost price but uses 14g instead of 16g. What is his percentage profit or loss?

Sol: By comparing with the formula, we got,

a = 6, b = 14, c = 16

So putting the values in the formula,

⇒ [(100 - 6) × 16/14 - 100)] = 94 × 8/7 - 100

⇒ (752 - 700)/7

⇒ 52/7% Or 7.43% gain (Ans.)

Now let's take some hard examples so that you can understand the whole topic more clearly.

E.g. A milkman who claims to sell the milk at the cost price of milk adds 10 litres of water to 'x' liters of milk. Due to this dishonest dealing, he earns 20% profit. If he added 25 liters of water instead of 'x' liters and also sold at selling price which is 20% more than the cost price, what will the profit (%) he earns?

Sol: Let the cost price of the milk be y

Now the milk mixture amounts (x + 10) liters

Sales = (x + 10) × y

Cost = x × y

Profit Sales Cost = 10y

Profit% = Profit/Cost × 100

⇒ 20 = (10y)/(xy) × 100

⇒ x = 50 liters

Now 25 liters of water added

Selling price = [(100 + 20)/100] × y = 1.2y

Sales = (50 + 25) × 1.2y = 90y

Cost = 50 × y = 50y

Profit = 90y - 50y = 40y

Profit% = Profit/Cost × 100 = (40y)/(50y) × 100 = 80%

E.g. A restaurant incurs two costs to make a delivery - food preparation cost and delivery cost. Initially, the food was sold at marked price and the actual delivery cost of Rs 12 was collected as delivery cost, giving the owner 32% profit on overall cost. Now the restaurant gives 10% discount but increases the delivery charge by 50%, this gives a profit of 26%. What is the cost of food preparation? (in rupees)

Sol: Let the food preparation cost and the marked price be Rs x and Rs y respectively

Total charge = S.P. + Delivery charge

Total cost = Food preparation cost + Delivery cost

When sold at M.P.

Total sales = M.P. + 12 = y + 12

Cost = x + 12

Profit = 32%

S.P. = (100 + Profit%)/100 × C.P.

y + 12 = 1.32 × (x + 12) ---- 1)

When sold at 10% discount

Delivery charge = (100 + 50)/100 × 12 = Rs 18

Total sales = MP × (100 - 10)/100 + 18

⇒ 0.9y + 18 = (100 + 26)/100 × (x + 12)

⇒ 0.9y + 18 = 1.26 (x + 12) ---- 2)

Equation 2) + 1)

⇒ 1.26/1.32 = (0.9y + 18) / (y + 12)

⇒ 21/22 = (0.9y + 18) / (y + 12)

⇒ 21y + 252 = 19.8y + 396

⇒ 144 = 1.2y

∴ y = Rs 120

Substituting in equation 1)

⇒ 132 = 1.32 × (x + 12)

∴ x = Rs 88

E.g. Three types of soaps are sold in a shop. Selling price of soap C is Rs 2 more than the selling price of soap B which is in turn Rs 2 more than the selling price of A. By selling each unit of soap A and soap B the shopkeeper earns a profit of 25% and 10% respectively and suffers a loss of 20% by selling soap C. If the shopkeeper sells one unit of soaps A, B and C, he makes no net profit nor loss, then what is the selling price of one unit of soap B?

Sol: Let the selling price of soap A = x

Selling price of soap B = x + 2

Selling price of soap C = (x + 2) + 2 = x + 4

Cost price of A = S.P. × 100/(100 + Profit)

⇒ x × 100/(100 + 25) = 4x/5

Cost price of B = (x + 2) × 100/(100 + 10) = 10x/11 + 20/11

Cost price of C = (x + 4) × 100/(100 - 20) = 5x/4 + 5

For no loss nor profit, Sum of S.P. = Sum of C.P.

x + (x + 2) + (x + 4) = 4x/5 + 10x/11 + 20/11 + 5x/4 + 5

⇒ 3x + 6 = (176x + 200x + 275x)/220 + 75/11

⇒ 3x + 6 = (651x)/220 + 75/11

⇒ 3x - (651x)/220 = 75/11 - 6

⇒ (660x - 651x)/220 = (7566)/11

⇒ 9x/220 = 9/11

⇒ x = 220/11 = Rs 20

Selling price of soap B = x + 2 = Rs 22

We have covered all aspects of questions which can be asked in profit and loss now. Profit and Loss and specially discount is the important topic for the WBP Constable Exam and if you want to score well in the quant section then you can't miss this topic because questions on profit and loss will be definitely asked in your paper. Do practice as it is the key to success in the quant section.

If you like this blog, do check out our latest blog on the <a href="https://www.thedhronas.com/blog/learn-the-basics-of-averages-for-wbp-constable-exam" target="_blank">Basics of Averages</a> by clicking on the embedded link. Stay tuned!

Learn and Practice&nbsp;Discounts and Dishonest Dealings

Discounts and Dishonest Dealings theory for WBP Constable Exam

&lt;p&gt;No title&lt;/p&gt;

WBCS Prelims Previous Year Paper 2018 - Questions with Answer Key

ডব্লিউবিসিএস প্রিলিমসের আগের বছরের পেপার,  2018 - উত্তর কী সহ প্রশ্ন

WBCS প্রিলিমস 2018 সমাধান

WBCS Prelims Previous Year Paper 2018 Solutions - Download PDF

WBCS প্রিলিমসের আগের বছরের পেপার 2018 সমাধান - PDF ডাউনলোড করুন

Are you someone who's been dreaming of a career in West Bengal's administrative sector? Well, you're in luck because the West Bengal Public Service Commission (WBPSC) has just unveiled the WBPSC Clerkship Notification 2023. On 13th October 2023, WBPSC released an <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_CLERKSHIP_INDICATIVE_NOTICE.pdf">indicative notice</a> for the release of the WBPSC Clerkship notification 2023. It's not an opportunity you'd want to overlook, especially if you're enthusiastic about becoming a civil servant. Let's dig deeper into this WBPSC Clerkship Notification 2023 and see what it's all about.

Moreover, in this blog, let's explore the essential details of the <a href="https://wbpsc.gov.in/Download?param1=An_20231204154303_Clerkship.pdf&param2=advertisement">official WBPSC Clerkship Notification 2023</a> that was released on 4th December 2023. We'll cover things like the exam structure, what's on the syllabus, and some valuable tips to boost your chances of success. If you're prepared, let's get started right away!

<h2 id="content-id-1835-0">Overview of the WBPSC Clerkship Notification 2023</h2>

Before we start talking about all the little details in the <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Notification_2023.pdf">WBPSC Clerkship Notification 2023</a>, how about we give you a clear roadmap of your journey through this exam process? It's pretty handy to know what's coming next as you set off on this important and potentially life-changing career path. We've put together a basic overview of the whole journey, starting from getting ready early on to the exciting moment when you achieve your goal.

<img alt="WBPSC Clerkship notification 2023 Eligibility" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Notification_2023_Eligibility.webp" style="height:300px; width:600px">

[Source: The Dhronas]

<img alt="WBPSC Clerkship Notification 2023 Application" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Notification_2023_Application.webp" style="height:300px; width:600px">

[Source: The Dhronas]

<img alt="WBPSC Clerkship Notification 2023 Exam Pattern" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Notification_2023_Exam_Pattern.webp" style="height:303px; width:600px">

[Source: The Dhronas]

<img alt="WBPSC Clerkship Notification 2023 Exams" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Notification_2023_Exams.webp" style="height:300px; width:600px">

[Source: The Dhronas]

<img alt="WBPSC Clerkship Notification 2023 Merit List" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Notification_2023_Merit.webp" style="height:306px; width:600px">

[Source: The Dhronas]

Moreover, by following this roadmap closely and relying on the guidance provided in the WBPSC Clerkship Notification 2023, you can navigate your way to a potentially rewarding career in West Bengal's administrative sector.

<h2 id="content-id-1835-1">WBPSC Clerkship Notification 2023 PDF</h2>

The impending WBPSC Clerkship Notification 2023 holds the promise of new opportunities for numerous job seekers in West Bengal. It marks the beginning of the recruitment process for clerkship positions within the state government. Let's delve deeper into what we can expect from the WBPSC Clerkship notification 2023 released on 4th December 2023. Furthermore, before we proceed, it's vital for you to understand the information included in the official WBPSC Clerkship Notification 2023. Here's a list of the key details you should keep in mind for your reference:

<ol>
	<li>Eligibility Criteria</li>
	<li>Vacancies</li>
	<li>Job posts and salary information</li>
	<li>Examination Pattern</li>
	<li>Syllabus for the Exam</li>
	<li>Important Dates for the Examination</li>
	<li>Application Process</li>
</ol>

Feel free to obtain the comprehensive details covered in this blog in PDF format by clicking on the 'Download PDF' button located at the top of this page. Save the PDF for future reference and convenience. In this way, you will have every exam related detail, from eligibility to exam pattern to syllabus, etc at one place. Furthermore, let's explore and learn each topic in details.

<h2 id="content-id-1835-2">WBPSC Clerkship 2023 Eligibility Criteria</h2>

Before you jump into preparing for the WBPSC Clerkship exam, your initial task should be to determine if you meet the eligibility criteria. Let's simplify this for you. There are primary conditions you must satisfy for the WBPSC Clerkship exam. These are:

<h3>Age Limit</h3>

As on 01.01.2023, you need to be at least 18 years old to apply for the WBPSC Clerkship Recruitment 2023 exam, and the maximum age limit is 40 years for candidates interested in this exam. If you're from the OBC category, you can get an age relaxation of up to three years, and for SC/ST candidates, there's an age relaxation of up to five years available.

<h3>Educational Qualification</h3>

If you want to apply for the WBPSC Clerkship Recruitment 2023 exam, you should have successfully cleared the Madhyamik Exam.

Now that you have a good understanding of the eligibility requirements, are you excited to learn about the available job openings? Rest assured, we've got all the details covered in the upcoming sections. But before that do read our <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-eligibility-criteria-2023-age-education">WBPSC Clerkship eligibility criteria 2023</a> blog.

<h2 id="content-id-1835-3">WBPSC Clerkship 2023 Vacancy</h2>

Although the West Bengal Public Service Commission (WBPSC) has made the WBPSC Clerkship Notification 2023 available on their official website, they are yet to release any update regarding the WBPSC Clerkship Recruitment 2023 Vacancy details. These vacancies for the WBPSC Clerkship Recruitment 2023 will be revealed based on the following categories: Let's explore this in more detail.

<ul>
	<li>
	General Category Vacancies
	</li>
	<li>
	OBC Category Vacancies
	</li>
	<li>
	SC Category Vacancies
	</li>
	<li>
	ST Category Vacancies
	</li>
	<li>
	Economically Weaker Section (EWS) Vacancies
	</li>
</ul>

As soon as the WBPSC releases any information pertaining to this, you'll have a clear picture of the vacancies available within each of these categories, allowing you to plan your preparation accordingly. Stay tuned to get the most accurate and up-to-date information only at <a href="https://thedhronas.com">TheDhronas</a>.

<h2 id="content-id-1835-4">WBPSC Clerkship 2023 Salary</h2>

Securing a position in the West Bengal Public Service Commission's Clerkship is not just about a job; it's about unlocking financial stability and career prospects. Let's dive into the WBPSC Clerkship salary structure to understand the rewards that come with this esteemed position.

 
Moreover, under the West Bengal 6th Pay Commission (ROPA 2019), if you're a WBPSC Clerkship candidate, you fall into Level 6. Your pay scale will range from Rs.22,700/- to 58,500/- besides D.A., M.A. and H.R.A. admissible. However, starting January 1, 2020, this new basic pay was revised at 22,700 rupees. As a WBPSC Clerkship aspirant, you'll also be entitled to various allowances on top of your basic pay, including Dearness Allowance (DA), medical allowance, house rent allowance, and more.

Aside from the basic salary, grade pay, DA, and HRA, WBPSC clerks are entitled to various other allowances and benefits, including:

<ol>
	<li>Travel Allowance</li>
	<li>Medical Allowance</li>
	<li>Leave Benefits</li>
	<li>Pension and gratuity.</li>
</ol>

These additional allowances and benefits aim to provide financial security and support to WBPSC clerks during their service and after retirement. Furthermore, let’s move on and explore the exam pattern for the WBPSC Clerkship exam.

<h2 id="content-id-1835-5">WBPSC Clerkship 2023 Exam Pattern</h2>

Gaining a grasp of the WBPSC Clerkship exam structure is similar to having a well-defined path for your upcoming journey. This understanding is vital because it not only aids in effective preparation but also provides clear instructions for readiness, ultimately bolstering your confidence when you face the actual examination. Let's simplify the WBPSC Clerkship exam pattern for you.

Moreover, in the West Bengal Public Service Commission Clerkship examination, you will encounter three stages, which include an objective-type test, a descriptive-type test, and a computer ability and typing test.

<h3>WBPSC Clerkship Part I Exam Pattern 2023</h3>

<ul>
	<li>Subject: English, General Studies and Arithmetic</li>
	<li>Total Questions: 100
	<ul>
		<li>English: 30 marks</li>
		<li>General Studies: 40 marks</li>
		<li>Arithmetic: 30 marks</li>
	</ul>
	</li>
	<li>Total Marks: 100</li>
	<li>Duration: 90 minutes</li>
	<li>Type: Objective-type test</li>
	<li>Negative marking: 0.25 mark for each wrong answer</li>
</ul>

<h3>WBPSC Clerkship Part II Exam Pattern 2023</h3>

<ul>
	<li>Subject: English and Bengali/Hindi/Urdu/Nepali/Santali

	<ul>
		<li>Group A: English - 50 marks</li>
		<li>Group B: Bengali/Hindi/Urdu/Nepali/Santali - 50 marks</li>
	</ul>
	</li>
	<li>Total Marks: 100</li>
	<li>Duration: 60 minutes.</li>
	<li>Type: Descriptive-type test</li>
</ul>

Moreover, the candidates' proficiency in basic computer operation and typing skills will be assessed only after they have successfully cleared Part-I and Part-II.

<h3>Computer Ability and Typing Test</h3>

For you, this marks the final step in the WBPSC Clerkship recruitment process. This is where your typing speed and basic computer knowledge will be assessed. Furthermore, for detailed information you can even refer to our <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-exam-pattern-2023-100-questions-in-90-minutes">WBPSC Clerkship exam pattern 2023</a> blog.

<h2 id="content-id-1835-6">WBPSC Clerkship 2023 Syllabus</h2>

The West Bengal Public Service Commission (WBPSC) is about to release the WBPSC Clerkship Notification 2023 on their official website. It's essential for aspiring candidates like you to gain a thorough understanding of the WBPSC Clerkship Syllabus 2023 to prepare effectively for the WBPSC Clerkship Exam 2023.

Furthermore, now that you have a good grip on the exam pattern, it's time to acquaint yourself with the specific subjects you should focus on. This stage is vital because a clear understanding of the syllabus will steer your study strategy, aid in selecting the appropriate study materials, and facilitate efficient time management. It ultimately leads to a well-organized and effective preparation journey. Let's dive deeper into the WBPSC Clerkship 2023 syllabus:

<h3>Part I Syllabus</h3>

<ul>
	<li> General Studies</li>
	<li> Arithmetic</li>
	<li> English</li>
</ul>

<h3>Part II Syllabus</h3>

<ul>
	<li>Group A - English

	<ul>
		<li>Creating a report in English based on provided points or materials;</li>
		<li>Summarizing or condensing a prose passage (Summary/Precis);</li>
		<li>Translating from Bengali/Hindi/Urdu/Nepali/Santali, as applicable, into English.</li>
	</ul>
	</li>
	<li>Group B - Bengali/Hindi/Urdu/Nepali/Santali
	<ul>
		<li>Creating a report from provided points or materials;</li>
		<li>Summarizing or condensing a prose passage (summary or précis);</li>
		<li>Translating from English into Bengali/Hindi/Urdu/Nepali/Santali, as applicable.</li>
	</ul>
	</li>
</ul>

To sum it up, your knowledge of the <a href="https://www.thedhronas.com/blog/wbpcs-clerkship-syllabus-2023-subject-wise-topics-weightage">WBPSC Clerkship Syllabus</a> is your foundation for confident and effective preparation. Moreover, to know the topicwise weightage of each of these subjects, you can click on the embedded link.

<h2 id="content-id-1835-7">WBPSC Clerkship 2023 Important Exam Dates</h2>

The West Bengal Public Service Commission (WBPSC) has released the comprehensive WBPSC Clerkship Notification 2023 detailing the recruitment process. Furthermore, you will have a window of about twenty days to submit your application for the WBPSC Clerkship Recruitment 2023. Moreover, in order to understand better, please cater to the information given below:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="text-align:center">Details</td>
			<td style="text-align:center">Dates</td>
		</tr>
		<tr>
			<td>WBPSC Clerkship Notification 2023 (Indicative) Release Date</td>
			<td>13th October 2023</td>
		</tr>
		<tr>
			<td>WBPSC Clerkship Notification 2023 Release Date</td>
			<td>4th December 2023</td>
		</tr>
		<tr>
			<td>WBPSC Clerkship Application Open Date</td>
			<td>8th December 2023 (3:00 pm)</td>
		</tr>
		<tr>
			<td>WBPSC Clerkship Application Close Date 2023</td>
			<td>29 December 2023 (3:00 pm)</td>
		</tr>
		<tr>
			<td>Closing date for submission of fees through offline</td>
			<td>30 December 2023</td>
		</tr>
		<tr>
			<td>Tentative Exam Date for Part I examination</td>
			<td>June 2024</td>
		</tr>
	</tbody>
</table>

Additionally, within a few months, the specific date for the WBPSC Clerkship Recruitment 2023 Exam will be announced by the West Bengal Public Service Commission (WBPSC). Rest assured, when this crucial date is disclosed, we'll promptly share all the details with you in our <a href="https://thedhronas.com/blog/wbpsc-clerkship-exam-date-2023-the-exam-is-in-june-2024">WBPSC Clerkship exam date 2023</a>.

<h2 id="content-id-1835-8">WBPSC Clerkship 2023 Application Form </h2>

To apply for the WBPSC Clerkship recruitment, you'll need to fill out the WBPSC Clerkship application form. This form is your gateway to the selection process, and it's crucial to complete it accurately and within the specified timeframe. Moreover, the link for the application process will become active on 8th December 2023 after 3 pm, and will turn inactive at 3pm on 29th December 2023. Be sure to keep an eye on the official WBPSC website to access the application link for when the application process begins, and follow the instructions provided to successfully submit your application.

<h2 id="content-id-1835-9">WBPSC Clerkship Apply Online - Step by Step Approach</h2>

Certainly, here are the steps for you to follow when applying for WBPSC Clerkship Recruitment 2023:

<ul>
	<li>Begin by visiting the official West Bengal Public Service Commission (WBPSC) <a href="https://wbpsc.gov.in">website</a>.</li>
	<li>Look for the 'WBPSC Clerkship Notification' section.</li>
	<li>In this section, you will come across an online application form for the WBPSC Clerkship, along with a PDF notification. Click on the 'apply' option.</li>
	<li>Complete the essential details, such as your educational background and contact information, which are necessary for your WBPSC Clerkship Recruitment application.</li>
	<li>Make the required payment, either online or offline, and upload the necessary documents, including your image and signature. Then, proceed to confirm and finalise your WBPSC Clerkship application.</li>
</ul>

This blog has likely provided you with a great deal of insight. However, if you're eager for more in-depth information, don't forget to explore our blogs on <a href="https://www.thedhronas.com/">The Dhronas</a>, or you can click on the embedded links above. We're committed to keeping you well-informed. Moreover, if you're dedicated to succeeding in this endeavor, remember that every piece of information about your exam is incredibly important. Yet, your dedication and hard work remain the most crucial elements, so maintain your focus and put in the effort. We'll continue to support and guide you throughout this journey.

WBPSC Clerkship Notification 2023

WBPSC ক্লার্কশিপ বিজ্ঞপ্তি 2023

WBPSC Clerkship Notification 2023 - Recruitment for Govt Jobs

WBPSC ক্লার্কশিপ নোটিফিকেশন 2023 - রিক্রুটমেন্ট ফর Govt জব্স

Welcome to your gateway for mastering Simplification for Bank Exams. In the realm of competitive banking exams such as SBI PO, IBPS Clerk, and RBI Grade B, a strong command of simplification is your key to success. This introductory resource provides a solid foundation for understanding and acing simplification techniques. Whether you're new to the world of banking exams or seeking to refine your skills, this guide will break down the basics, imparting the knowledge and confidence needed to tackle numerical challenges with precision.

Dive into the art of simplifying complex calculations, and elevate your readiness for these critical examinations. As we embark on this journey, rest assured that simplification is the cornerstone of efficient problem-solving, and your grasp of these fundamentals will be instrumental in securing your path to a flourishing banking career.

<h2 id="content-id-1855-0">Simplification for Bank Exams</h2>

Simplification is a crucial skill for bank exams as it allows you to solve quantitative aptitude (QA) problems quickly and accurately. So, here are 10 basic tips for simplification in bank exams you need to know before starting the topic:

<ol>
	<li>
	Master the order of operations (PEMDAS): PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Always follow this order when simplifying expressions.
	</li>
	<li>
	Combine like terms: Like terms are terms that have the same variables raised to the same powers. Combine like terms by adding or subtracting their coefficients.
	</li>
	<li>
	Simplify fractions: Simplify fractions by finding the greatest common factor (GCD) of the numerator and denominator and dividing both by the GCD.
	</li>
	<li>
	Simplify radicals: Simplify radicals by factoring the radicand (the expression under the radical symbol) and finding the perfect square factors.
	</li>
	<li>
	Simplify expressions with exponents: Use the rules of exponents to simplify expressions with exponents. For example, am × an = a(m + n) and (am)n = a(m × n).
	</li>
	<li>
	Simplify expressions with variables: Use algebraic techniques such as factoring, expanding, and combining like terms to simplify expressions with variables.
	</li>
	<li>
	Practice with previous year's question papers: Solve simplification questions from previous year's bank exam papers to familiarize yourself with the types of questions asked and the level of difficulty.
	</li>
	<li>
	Memorize common simplification shortcuts: There are some common simplification shortcuts that can save you time in the exam. For example, you can memorize the squares of the first 15 natural numbers and the cubes of the first 10 natural numbers.
	</li>
	<li>
	Avoid making careless mistakes: Simplification questions often involve multiple steps, so it's important to be careful and avoid making careless mistakes. Double-check your work before moving on to the next question.
	</li>
	<li>
	Manage your time effectively: Simplification questions can be time-consuming, so it's important to manage your time effectively. Don't spend too much time on any one question, and move on if you're stuck.
	</li>
</ol>

By following these tips and practicing regularly, you can improve your simplification skills and increase your chances of success in bank exams.

<img alt="Simplification for Bank Exams" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Simplification for Bank Exams.webp" style="height:200px; width:400px">

Here, we are going to learn all about the BODMAS rule, what it is, where to use it along with some mind-blowing formulae which will transfer you in a human calculator. But before that, let's look at this example.

E.g. 221 ÷ 13 × √576 + (10)2 = ?

We are completely clueless about where to start right now, so let’s start from left

⇒ 221 ÷ 13 × 24 + 100 = ?

⇒ 221 ÷ 13 × 124 = ?

⇒ 221 ÷ 1612 = ? ⇒ 7.290 (Approx.)

Which is wrong, so how to approach these types of questions?

Is there a specific method to approach them?

Yes, VBODMAS rule.

<h2 id="content-id-1855-1">VBODMAS Rule</h2>

In the world of mathematics, order and structure are paramount to solving complex equations and simplifying expressions. The acronym VBODMAS, also known as PEMDAS or BODMAS, serves as a guide to navigate the hierarchy of operations within mathematical expressions. This rule dictates the sequence in which operations should be performed to ensure accurate and consistent results.

VBODMAS stands for Vinculum (or Brackets), Of, Division, Multiplication, Addition, and Subtraction. It emphasizes the order in which these operations should be executed when evaluating an expression. Vinculum, or brackets, take precedence, followed by Of (which includes exponents and roots), then Division and Multiplication from left to right, and finally, Addition and Subtraction from left to right.

So, as discussed, the full form of VBODMAS is:

<img alt="VBODMAS Rule Simplification for Bank Exams" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/VBODMAS Rule Simplification for Bank Exams.webp" style="height:400px; width:400px">

For every question we have to do each step from up to bottom.

Understanding and applying the VBODMAS rule is crucial for simplifying expressions, solving equations, and obtaining accurate solutions in various mathematical contexts. It ensures consistency and eliminates ambiguity, allowing mathematicians and students alike to navigate complex expressions with clarity and precision.

Let’s take an example and try to solve it.

E.g. 221 ÷ 13 × √576 + (10)2 = ?

Step 1: First try to Solve √576 and (10)2

⇒ 221 ÷ 13 × 24 + 100 = ?

Step 2: Division

⇒ 221 ÷ 13 × 24 + 100 = ?

⇒ 17 × 24 + 100 = ?

Step 3: Multiplication

⇒ 17 × 24 + 100 = ?

⇒ 408 + 100 = ?

Step 4: Addition

⇒ 408 + 100 = ?

⇒ ? = 508 (Ans).

Tip: While solving brackets first open small () then curly {} and last big brackets []

E.g. [(2211 ÷ 67)2 – 21 × √(256)] ÷ (549 – 213) = ? ÷ 1344

Sol: Let’s apply VBODMAS rule here

Step 1: Let’s Solve √256

⇒ [(2211 ÷ 67)2 - 21 × 16] ÷ (549 - 213) = ? ÷ 1344

Step 2: Start opening the Brackets

⇒ [(2211 ÷ 67)2 - 21 × 16] ÷ (549 – 213) = ? ÷ 1344

⇒ [(33)2 – 21 × 16] ÷ 336 = ? ÷ 1344

Step 3: Now we have to first simplify equation in bracket then open it by VBODMAS

⇒ [1089 – 21 × 16] ÷ 336 = ? ÷ 1344

⇒ [1089 – 336] ÷ 336 = ? ÷ 1344

Step 4: Now open the bracket

⇒ [1089 – 336] ÷ 336 = ? ÷ 1344

⇒ 753 ÷ 336 = ? ÷ 1344

Step 5: Division

⇒ 753 ÷ 336 = ? ÷ 1344

⇒ 753 × 1344 ÷ 336 = ?

⇒ ? = 753 × 4 = 3012 (Ans).

Let's take few more examples.

E.g. 1/6 of 355 of 1/5 of 2160 + √3969 - 448.98 = ?

Step 1: first solve Vinculum

1/5 of 2160 ⇒ 1/5 × 2160 ⇒ 432

And 1/6 of 355 ⇒ 355/6

So, we got,

⇒ 355/6 of 432 + 37 – 448.98

Step 2: Solve Of

⇒ 355/6 of 432 + 37 – 448.98

⇒ 355/6 × 432 + 37 – 448.98

Step 3: Division

⇒ 355 × 72 + 37 – 448.98

Step 4: Multiplication

⇒ 355 × 72 + 37 – 448.98

⇒ 25560 + 37 – 448.98

Step 5: Addition

⇒ 25560 + 37 – 448.98

⇒ 25597 – 448.98

Step 6: Subtraction

⇒ 25597 – 448.98

⇒ 25,148.02 (Ans).

E.g. 28/9 × 144/12 ÷ 17/5 + 13/17 

Step 1: By BODMAS rule we would firstly (D) Divide

⇒ 28/9 × 12 ÷ 17/5 + 13/17

⇒ 28/9 × 60/17 + 13/17

Step 2: Multiplication

⇒ 28/9 × 60/17 + 13/17

⇒ 560/51 + 13/17

Step 3: Addition

⇒ (560 + 39)/51

⇒ 599/51 (Ans).

As we saw by using this concept it would lead to the correct answer however the question is how tedious.

In conclusion, simplification techniques play a pivotal role in conquering quantitative aptitude sections of bank exams. By mastering the art of simplification, one can efficiently solve numerical problems with accuracy and speed.

Regular practice with simplification problems, along with memorizing common shortcuts and avoiding careless mistakes, will enhance one's ability to tackle these questions confidently. Effective time management and a thorough understanding of the VBODMAS rule are key to achieving success in simplification-based questions.

The ability to simplify complex expressions into their most concise forms not only demonstrates mathematical proficiency but also reflects a sharp analytical mind, a crucial trait for aspiring bankers.

So this is all for today In our next blog, we will discuss the short cut method to find the percentage, the questions on surds and indices and one of most important topics for Bank exam i.e. <a href="https://www.thedhronas.com/blog/how-to-tackle-approximation-questions-for-bank-exams" target="_blank">Questions on Approximation</a>. So, till then, Stay tuned!

Learn the basic art for the Simplification questions for the SBI, IBPS and other bank&nbsp;Exams.

এসবিআই, আইবিপিএস এবং অন্যান্য ব্যাঙ্ক&nbsp;পরীক্ষার সরলীকরণ প্রশ্নগুলির জন্য মৌলিক শিল্প শিখুন

Learn the basics of Simplification for Bank Exams

ব্যাঙ্ক পরীক্ষার সরলীকরণের মূল বিষয়গুলি জানুন

WBPSC Food SI Previous Year Question Paper 2019 with Answer Key

উত্তর কী (Answer Key) সহ WBPSC Food SI, 2019, পূর্ববর্তী বছরের প্রশ্নপত্র

WBPSC Food SI 2019 সলিউশন

WBPSC Food SI Previous Year Paper 2019 Solutions - Download PDF

WBPSC Food SI আগের বছরের পেপার 2019 সমাধান - PDF ডাউনলোড করুন

Are you among the passionate people in West Bengal who have been anticipating the WB Police Constable Exam Dates 2023 with great anticipation? You're not alone in your excitement, though, as the WB Police Constable Exam Date 2023 has really stoked interest among aspirants and job seekers alike. We're going to take a trip together through this blog, delving into the specifics of this important WB Police Constable Exam Date 2023. In addition, let's start by going over the <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_notification_2023.pdf">WB Police Constable Notification 2023</a> and the key exam dates list.

<h2 id="content-id-2463-0">WB Police Constable Exam Dates 2023</h2>

All of the applicants felt a mixture of excitement and anxiety after the official release of the WB Police Constable announcement. It is with great anticipation that the West Bengal Police has agreed to provide the much-needed examination schedule! However, let's take some time to review the important details included in the official notification before getting further into this topic.

<img alt="WB Police Constable Exam Date 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Exam_Date_2023.svg" style="height:300px; width:600px">

[Source: KD Live]

As per the official notification, the timeline for submitting online applications spans from February 27, 2023 to March 18, 2023. Now that you have clarity on the WB Police Constable Exam Dates 2023, let us brief you a little about the <a href="https://www.thedhronas.com/blog/wb-police-constable-notification-2023-recruitment-for-12000-govt-jobs">West Bengal Police Constable Notification 2023</a> in the next segment.

<h2 id="content-id-2463-1">WB Police Constable Notification 2023</h2>

All Indian medical institutes that offer undergraduate medical degrees send out the WB Police Constable Notification for admission. We'll quickly go over every important element regarding the WB Police Constable Notification 2023 with you.

<ul>
	<li>The WB Police Constable Notification 2023 was released on February 27, 2023.</li>
	<li>Further, in the WB Police constable exam, you will counter four stages.</li>
	<li>Moreover, this exam covers five subjects in total.</li>
</ul>

Now, since you have had a brief understanding of the WB Police Constable exam, let us take a look at the next segment.

<h2 id="content-id-2463-2">WB Police Constable Admit Card 2023</h2>

It is important for you to be aware that a few days prior to the exam date, the WBPRB will release the admit card for the WB Police Constable Written Exam. Your name, roll number, exam location, and exam hours are all included on your WB Police Constable Admit Card in PDF format. It also includes important guidelines that you have to follow at the testing location.

<h2 id="content-id-2463-3">WB Police Constable Exam Pattern 2023</h2>

Now that you know all about the WB Police Constable Exam Dates 2023 and admit card, it is essential to know about the exam pattern How about we give you a quick brief? Understanding the WB Police Constable exam pattern is essential, as it empowers you to tailor your preparation, giving you an edge in areas where others might struggle. This knowledge provides a significant competitive advantage. So, let's explore the WB Police Constable exam pattern for 2023.

In your WB Police Constable Exam journey, you'll encounter four key stages:

<ul>
	<li>The Preliminary Exam</li>
	<li>PMT and PET</li>
	<li>The Final Written Exam</li>
	<li>The Interview</li>
</ul>

Consequently, some important pointers to make note of are:

<ul>
	<li>The examination will consist of 100 questions and will last for a duration of 1 hours.</li>
	<li>The WB Police Constable exam will be in an objective format, featuring multiple-choice questions.</li>
	<li>Additionally, there's a deduction of 1/4 of the assigned mark i.e. 0.25 mark for each wrong answer.</li>
	<li>The test is available in Bengali and Nepali languages.</li>
</ul>

Moreover, you can refer to our blog, WB Police Constable Exam Pattern 2023 for better understanding. 

<h2 id="content-id-2463-4">WB Police Constable Syllabus 2023</h2>

Now that you have a clear understanding of the exam pattern, it's crucial to delve into the syllabus details, as it will help you prepare strategically. Here are the subjects that the WB Police Constable examination covers:

<ul>
	<li>General Awareness</li>
	<li>General Knowledge</li>
	<li>Reasoning</li>
	<li>Elementary Mathematics</li>
	<li>English Language</li>
</ul>

For more information, you can refer to our blog, WB Police Constable Syllabus 2023.

<h2 id="content-id-2463-5">Preparation Tips for WB Police Constable 2023</h2>

You must have a firm understanding of the WB Police Constable Exam Syllabus by this point, which will serve as the basis for your preparation. The following preparation tips will help you get started on the right path to passing the WB Police Constable exam in 2023:

<ul>
	<li>Before initiating your preparation, it's crucial to thoroughly look at the exam pattern and syllabus, including the weightage assigned to each topic.</li>
	<li>Efficient time management is important in competitive exams like WB Police Constable.</li>
	<li>Undergo practice and engage in numerous mock tests.</li>
	<li>Solving previous year's question papers provides insights into the examination's nature, pattern, and difficulty level.</li>
	<li>Prepare the notes that can serve as a quick revision guide.</li>
</ul>

We hope this essay was helpful in providing you with a good deal of clarity on the WB Police Constable Exam Dates 2023. Additionally, we will use our official website to keep you updated on the Admit Card and the Result. We send our warmest regards for your next pursuits and an enjoyable voyage.

Are you among the passionate people in West Bengal who have been anticipating the WB Police Constable Exam Dates 2023 with great anticipation? You&#39;re not alone in your excitement, though, as the WB Police Constable Exam Date 2023 has really stoked interest among aspirants and job seekers alike. We&#39;re going to take a trip together through this blog, delving into the specifics of this important WB Police Constable Exam Date 2023. In addition, let&#39;s start by going over the <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_notification_2023.pdf">WB Police Constable Notification 2023</a> and the key exam dates list.

<h2>WB Police Constable Exam Dates 2023</h2>

All of the applicants felt a mixture of excitement and anxiety after the official release of the WB Police Constable announcement. It is with great anticipation that the West Bengal Police has agreed to provide the much-needed examination schedule! However, let&#39;s take some time to review the important details included in the official notification before getting further into this topic.

<img alt="WB Police Constable Exam Date 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Exam_Date_2023.svg" style="height:300px; width:600px" />

[Source: KD Live]

As per the official notification, the timeline for submitting online applications spans from February 27, 2023 to March 18, 2023. Now that you have clarity on the WB Police Constable Exam Dates 2023, let us brief you a little about the <a href="https://www.thedhronas.com/blog/wb-police-constable-notification-2023-recruitment-for-12000-govt-jobs">West Bengal Police Constable Notification 2023</a> in the next segment.

<h2>WB Police Constable Notification 2023</h2>

All Indian medical institutes that offer undergraduate medical degrees send out the WB Police Constable Notification for admission. We&#39;ll quickly go over every important element regarding the WB Police Constable Notification 2023 with you.

<ul>
	<li>The WB Police Constable Notification 2023 was released on February 27, 2023.</li>
	<li>Further, in the WB Police constable exam, you will counter four stages.</li>
	<li>Moreover, this exam covers five subjects in total.</li>
</ul>

Now, since you have had a brief understanding of the WB Police Constable exam, let us take a look at the next segment.

<h2>WB Police Constable Admit Card 2023</h2>

It is important for you to be aware that a few days prior to the exam date, the WBPRB will release the admit card for the WB Police Constable Written Exam. Your name, roll number, exam location, and exam hours are all included on your WB Police Constable Admit Card in PDF format. It also includes important guidelines that you have to follow at the testing location.

<h2>WB Police Constable Exam Pattern 2023</h2>

Now that you know all about the WB Police Constable Exam Dates 2023 and admit card, it is essential to know about the exam pattern How about we give you a quick brief?&nbsp;Understanding the WB Police Constable exam pattern is essential, as it empowers you to tailor your preparation, giving you an edge in areas where others might struggle. This knowledge provides a significant competitive advantage. So, let&#39;s explore the WB Police Constable exam pattern for 2023.

In your WB Police Constable Exam journey, you&#39;ll encounter four key stages:

<ul>
	<li>The Preliminary Exam</li>
	<li>PMT and PET</li>
	<li>The Final Written Exam</li>
	<li>The Interview</li>
</ul>

Consequently, some important pointers to make note of are:

<ul>
	<li>The examination will consist of 100 questions and will last for a duration of 1 hours.</li>
	<li>The WB Police Constable exam will be in an objective format, featuring multiple-choice questions.</li>
	<li>Additionally, there&#39;s a deduction of 1/4 of the assigned mark i.e. 0.25 mark for each wrong answer.</li>
	<li>The test is available in Bengali and Nepali languages.</li>
</ul>

Moreover, you can refer to our blog, WB Police Constable Exam Pattern 2023 for better understanding.&nbsp;

<h2>WB Police Constable Syllabus 2023</h2>

Now that you have a clear understanding of the exam pattern, it&#39;s crucial to delve into the syllabus details, as it will help you prepare strategically. Here are the subjects that the WB Police Constable examination covers:

<ul>
	<li>General Awareness</li>
	<li>General Knowledge</li>
	<li>Reasoning</li>
	<li>Elementary Mathematics</li>
	<li>English Language</li>
</ul>

For more information, you can refer to our blog, WB Police Constable Syllabus 2023.

<h2>Preparation Tips for WB Police Constable 2023</h2>

You must&nbsp;have a firm understanding of the WB Police Constable Exam Syllabus by this point, which will serve as the basis for your preparation. The following preparation tips will help you get started on the right path to passing the WB Police Constable exam in 2023:

<ul>
	<li>Before initiating your preparation, it&#39;s crucial to thoroughly look at the exam pattern and syllabus, including the weightage assigned to each topic.</li>
	<li>Efficient time management is important in competitive exams like WB Police Constable.</li>
	<li>Undergo practice and engage in numerous mock tests.</li>
	<li>Solving previous year&#39;s question papers provides insights into the examination&#39;s nature, pattern, and difficulty level.</li>
	<li>Prepare the notes that can serve as a quick revision guide.</li>
</ul>

We hope this essay was helpful in providing you with a good deal of clarity on the WB Police Constable Exam Dates 2023. Additionally, we will use our official website to keep you updated on the Admit Card and the Result. We send our warmest regards for your next pursuits and an enjoyable voyage.

WB Police Constable Exam Dates 2023&nbsp;

WB Police Constable Exam Dates 2023 -  The Date of Exam to be announced

Embarking on the path to become a West Bengal Civil Service (WBCS) officer is a journey of determination and dedication. One of the initial and crucial milestones on this journey is conquering the WBCS Prelims examination. This blog is your essential guide to not just crack, but excel in the WBCS Prelims. Whether you are a first-time aspirant or looking to enhance your preparation strategy, we've got you covered.

<img alt="wbcs prelims logo" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/wbcs_prelims_logo.webp" style="height:200px; width:200px">

[Source: The Dhronas]

In this blog, you will find expert tips, comprehensive study material, and practice tests tailored to equip you with the knowledge and skills needed to succeed. So, let's begin your WBCS Prelims journey with confidence and competence.

Lets learn some equations first, which are essential for WBCS Prelims exam:

⇒ \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

⇒ \(x = {\sqrt{b^2-4ac}}\)

&nbsp;Embarking on the path to become a West Bengal Civil Service (WBCS) officer is a journey of determination and dedication. One of the initial and crucial milestones on this journey is conquering the WBCS Prelims examination. This blog is your essential guide to not just crack, but excel in the WBCS Prelims. Whether you are a first-time aspirant or looking to enhance your preparation strategy, we&#39;ve got you covered.

<img alt="wbcs prelims logo" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/wbcs_prelims_logo.webp" style="height:200px; width:200px" />

[Source: The Dhronas]

In this blog, you will find expert tips, comprehensive study material, and practice tests tailored to equip you with the knowledge and skills needed to succeed. So, let&#39;s begin your WBCS Prelims journey with confidence and competence.

Lets learn some equations first, which are essential for WBCS Prelims exam:

&rArr;&nbsp;\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

&rArr;&nbsp;\(x = {\sqrt{b^2-4ac}}\)

&nbsp;

&nbsp;

Prepare yourself for WBCS Prelims

Cracking WBCS Prelims - Your Path to Success

The West Bengal Public Selection Commission has revealed the <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-notification-2023-recruitment-for-govt-jobs">WBPSC Clerkship notification 2023</a>. Thus, paving the way for numerous opportunities. Moreover, As this news circulates, you might find yourself experiencing a whirlwind of excitement and anticipation about the upcoming WBPSC Clerkship exam. However, fear not! Dhronas is here to support you, ensuring you sail through the challenge with confidence! Therefore, in this blog post, we'll delve into every aspect of the WBPSC Clerkship syllabus 2023. Covering everything from the topics included to the corresponding weightages and exam dates.

<h2 id="content-id-9838-0">WBPSC Clerkship Syllabus 2023 Overview</h2>

Let's begin by providing you with an overview of the WBPSC Clerkship exam. This exam is designed to recruit candidates for positions of lower division assistant, lower division clerk, and other related roles within the West Bengal government. Now that you have a basic understanding of this exam, let's move on to acquaint you with the subjects covered in the WBCS Clerkship 2023 exam. Therefore, the infographics below will give you a glimpse of the WBPSC Clerkship Syllabus 2023.

<img alt="WBPSC Clerkship Syllabus 2023 Prelims" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Prelims.svg" style="height:300px; width:600px">

[Source: The Dhronas]

<img alt="WBPSC clerkship syllabus 2023 Mains" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Mains.svg" style="height:300px; width:600px">

[Source: The Dhronas]

Having gained a general understanding of the WBCS Syllabus 2023, let's delve into a more detailed explanation of it. Therefore, in the upcoming sections of the blog, we will offer an in-depth analysis of the same.

<h2 id="content-id-9838-1">Download WBPSC Clerkship Syllabus 2023 PDF</h2>

As seen in the preceding section's infographic, the WBPSC Clerkship selection procedure encompasses three stages- Prelims followed by Mains and then a Computer Ability and Typing Test. Moreover, the subjects included in both of these exams are outlined below-

Preliminary Exam

<ul>
	<li>General Studies</li>
	<li>Arithmetic</li>
	<li>English</li>
</ul>

Mains Exam

<ul>
	<li>English </li>
	<li>Bengali/Hindi/Urdu/Nepali/Santali</li>
</ul>

In the upcoming sections of the blog, we will provide a comprehensive analysis of the WBPSC Clerkship syllabus 2023 for each of these exams.

<h2 id="content-id-9838-2">WBPSC Clerkship Syllabus 2023- Prelims Exam</h2>

As discussed earlier, the WBPSC syllabus 2023 for Prelims exam consists of three subjects. Furthermore, the WBPSC Clerkship Preliminary exam will be in an objective-type format. In this segment of the blog, we will delve into the weightage and topics covered in each of these subjects. However, before that we would like to enlighten you with a list of detailed topics for the preliminary examination.

<img alt="WBPSC Clerkship syllabus 2023 Prelims topics" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Prelims_Topics.svg" style="height:300px; width:600px">

[Source: The Dhronas]

Now that you are aware of all the topics you need to prepare for. Let's dive into the topicwise weightage of each of these topics based on our previous year analysis.

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td colspan="2" style="text-align:center">
			<div>General Studies</div>
			</td>
		</tr>
		<tr>
			<td>
			<div style="text-align:center">Subjects</div>
			</td>
			<td>
			<div style="text-align:center">Weightages</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>History</div>
			</td>
			<td>
			<div style="text-align:center">6</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Geography</div>
			</td>
			<td>
			<div style="text-align:center">7</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Polity</div>
			</td>
			<td>
			<div style="text-align:center">2</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Art and Culture</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Current Affairs</div>
			</td>
			<td>
			<div style="text-align:center">10</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Static GK</div>
			</td>
			<td>
			<div style="text-align:center">10</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>State Specific GK</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
	</tbody>
</table>

You may want to place greater emphasis on Current Affairs and Static GK as these are the topics that frequently appear in exams.

<table border="1" cellpadding="1" cellspacing="1" style="font-size:13px; width:320px">
	<tbody>
		<tr>
			<td colspan="2" style="text-align:center">
			<div>Arithmetic</div>
			</td>
		</tr>
		<tr>
			<td>
			<div style="text-align:center">Subjects</div>
			</td>
			<td>
			<div style="text-align:center">Weightages</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Simplification/Approximation</div>
			</td>
			<td>
			<div style="text-align:center">5</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Percentage</div>
			</td>
			<td>
			<div style="text-align:center">3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Profit & Loss</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Time & Work</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Speed, Time and Distance</div>
			</td>
			<td>
			<div style="text-align:center">3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Interest</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Ratio & Proportion</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Algebra</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Mixture & Allegations</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Number System</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
	</tbody>
</table>

According to our analysis, Simplification/Approximation carries more significance than the other topics listed. Therefore, we would suggest you allocate a larger portion of your study time to this topic.

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td colspan="2" style="text-align:center">
			<div>English</div>
			</td>
		</tr>
		<tr>
			<td>
			<div style="text-align:center">Subjects</div>
			</td>
			<td>
			<div style="text-align:center">Weightages</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Phrase Replacement / Sentence Improvement</div>
			</td>
			<td>
			<div style="text-align:center">0-2</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Voice</div>
			</td>
			<td>
			<div style="text-align:center">2-3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Speech</div>
			</td>
			<td>
			<div style="text-align:center">0-1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Word Replacement</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Synonyms or Antonyms</div>
			</td>
			<td>
			<div style="text-align:center">2-4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Phrase or Idiom</div>
			</td>
			<td>
			<div style="text-align:center">3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Fillers</div>
			</td>
			<td>
			<div style="text-align:center">13-16</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>One Word Substitution</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Types of Sentence</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Spellings</div>
			</td>
			<td>
			<div style="text-align:center">2</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Correct sentence</div>
			</td>
			<td>
			<div style="text-align:center">0-1</div>
			</td>
		</tr>
	</tbody>
</table>

The table above clearly shows that the topic "Fillers" holds greater significance compared to the other listed topics.

<h2 id="content-id-9838-3">WBPSC Clerkship Syllabus 2023- Mains Exam</h2>

Now, allow us to guide you through the WBPSC Clerkship syllabus 2023 for the Mains exam. Additionally, it's important to note that the Mains exams will be of a descriptive type.

<img alt="WBPSC Clerkship syllabus 2023 mains topics" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Mains_Topics.svg" style="height:309px; width:600px">

[Source: The Dhronas]

<h2 id="content-id-9838-4">WBPSC Clerkship Syllabus 2023- Computer Ability and Typing Test</h2>

This round is compulsory for qualification. During this stage, candidates will be evaluated on their fundamental computer knowledge. Moreover, candidates must demonstrate the ability to type at a speed of 20 words per minute in English and 10 words per minute in Bengali. With this, we trust that we have addressed all inquiries regarding the WBPSC Clerkship syllabus 2023. Furthermore, let's move on to discussing the <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-exam-pattern-2023-100-questions-in-90-minutes">WBPSC Clerkship exam pattern 2023</a>.

<h2 id="content-id-9838-5">WBPSC Clerkship Exam Pattern 2023</h2>

Having a solid understanding of the WBPSC syllabus 2023, let's delve into the specifics of the WBPSC Clerkship exam structure. Moreover, as mentioned earlier, in the West Bengal Public Service Commission Clerkship examination, you will come across three separate stages: the Preliminary exam, the Mains exam, and a computer ability and typing test.

<h3>WBPSC Clerkship Prelims Exam Pattern 2023</h3>

<ul>
	<li>The WBPSC Preliminary exam included a total of three subjects- English, General Studies and Arithmetic.</li>
	<li>This exam will feature 100 objective-type questions and will be worth a total of 100 marks.
	<ul>
		<li>English: 30 marks</li>
		<li>General Studies: 40 marks</li>
		<li>Arithmetic: 30 marks</li>
	</ul>
	</li>
	<li>The Prelims exam will span a duration of 90 minutes.</li>
	<li>Lastly, there will be a negative marking of 0.25 mark for each wrong attempt.</li>
</ul>

<h3>WBPSC Clerkship Mains Exam Pattern 2023</h3>

<ul>
	<li>The WBPSC Mains exam comprises two subjects, namely English, and Bengali/Hindi/Urdu/Nepali/Santali.</li>
	<li>This exam will carry 100 marks.
	<ul>
		<li>Group A: English - 50 marks</li>
		<li>Group B: Bengali/Hindi/Urdu/Nepali/Santali - 50 marks</li>
	</ul>
	</li>
	<li>Moreover, this exam will last for a duration of 60 minutes.</li>
	<li>Lastly, the Mains exam will include Descriptive-Type questions.</li>
</ul>

<h2 id="content-id-9838-6">WBPSC Clerkship 2023 Exam Dates</h2>

The West Bengal Public Service Commission (WBPSC) has issued the detailed <a href="https://wbpsc.gov.in/Download?param1=An_20231204154303_Clerkship.pdf&param2=advertisement">official WBPSC Clerkship Notification 2023</a> outlining the recruitment process. Additionally, there is a twenty-day time frame during which you can submit your application for the WBPSC Clerkship Recruitment 2023. For a more thorough understanding, please refer to the information provided below:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td>
			<div style="text-align:center">Details</div>
			</td>
			<td>
			<div style="text-align:center">Dates</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Notification 2023 (<a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_CLERKSHIP_INDICATIVE_NOTICE.pdf">Indicative</a>) Release Date</div>
			</td>
			<td>
			<div>13th October 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Notification 2023 Release Date</div>
			</td>
			<td>
			<div>4th December 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Application Open Date</div>
			</td>
			<td>
			<div>8th December 2023 (3:00 pm)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Application Close Date 2023</div>
			</td>
			<td>
			<div>29 December 2023 (3:00 pm)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees through offline</div>
			</td>
			<td>
			<div>30 December 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Tentative Exam Date for Part I examination</div>
			</td>
			<td>
			<div>June 2024</div>
			</td>
		</tr>
	</tbody>
</table>

Additionally, within a few months, the specific date for the WBPSC Clerkship Recruitment 2023 Exam will be announced by the West Bengal Public Service Commission (WBPSC). Rest assured, when this crucial date is disclosed, we'll promptly share all the details with you in our <a href="https://thedhronas.com/blog/wbpsc-clerkship-exam-date-2023-the-exam-is-in-june-2024">WBPSC Clerkship exam date 2023</a>.

We trust that this has provided you with the clarity you were looking for concerning WBPSC Clerkship syllabus 2023. Additionally, remember that someone wisely noted that your determination, selflessness, and courage have led you to this point. Thus, take a moment to acknowledge your achievements and then carry on with your journey. Keep believing in yourself and stay committed to your exam preparations. Wishing you luck for your exam!

The West Bengal Public Selection Commission has revealed the indicative notice for the WBPCS Clerkship notification 2023. Thus, paving the way for numerous opportunities. Moreover, As this news circulates, you might find yourself experiencing a whirlwind of excitement and anticipation about the upcoming WBPCS Clerkship exam. However, fear not! Dhronas is here to support you,&nbsp;ensuring you sail through the challenge with confidence! Therefore, in this blog post,&nbsp;we&#39;ll delve into every aspect of the WBPCS Clerkship syllabus 2023.&nbsp;Covering everything from the topics included to the corresponding weightages and exam dates.

<h2>WBPSC Clerkship Syllabus 2023 Overview</h2>

Let&#39;s begin by providing you with an overview of the WBPSC Clerkship exam.&nbsp;This exam is designed to recruit candidates for positions of lower division assistant, lower division clerk, and other related roles within the West Bengal government.&nbsp;Now that you have a basic understanding of this exam, let&#39;s move on to acquaint you with the subjects covered in the WBCS Clerkship 2023 exam.&nbsp;Therefore, the infographics below will give you a glimpse of the WBPSC Clerkship Syllabus 2023.

<img alt="WBPSC Clerkship Syllabus 2023 Prelims" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Prelims.svg" style="height:300px; width:600px" />

[Source: The Dhronas]

<img alt="WBPSC clerkship syllabus 2023 Mains" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Mains.svg" style="height:300px; width:600px" />

[Source: The Dhronas]

Having gained a general understanding of the WBCS Syllabus 2023, let&#39;s delve into a more detailed explanation of it. Therefore, in the upcoming sections of the blog, we will offer an in-depth analysis of the same.

<h2>Download WBPSC Clerkship Syllabus 2023 PDF</h2>

As seen in the preceding section&#39;s infographic, the WBPSC Clerkship selection procedure encompasses three&nbsp;stages- Prelims followed by Mains and then a Computer Ability and Typing Test. Moreover, the subjects included in both of these exams are outlined below-

Preliminary Exam

<ul>
	<li>General Studies</li>
	<li>Arithmetic</li>
	<li>English</li>
</ul>

Mains Exam

<ul>
	<li>English&nbsp;</li>
	<li>Bengali/Hindi/Urdu/Nepali/Santali</li>
</ul>

In the upcoming sections of the blog, we will provide a comprehensive analysis of the WBPCS Clerkship syllabus 2023 for each of these exams.

<h2>WBPSC Clerkship Syllabus 2023-&nbsp;Prelims Exam</h2>

As discussed earlier, the WBPSC syllabus&nbsp;2023 for Prelims exam consists of three subjects. Furthermore, the WBPSC Clerkship Preliminary exam will be in an objective-type format.&nbsp;In this segment of the blog, we will delve into the weightage and topics covered in each of these subjects. However, before that we would like to enlighten you with a list of detailed topics for the preliminary examination.

<img alt="WBPSC Clerkship syllabus 2023 Prelims topics" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Prelims_Topics.svg" style="height:300px; width:600px" />

[Source: The Dhronas]

Now that you are aware of all the topics you need to prepare for. Let&#39;s dive into the topicwise weightage of each of these topics based on our previous year analysis.

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td colspan="2" style="text-align:center">
			<div>General Studies</div>
			</td>
		</tr>
		<tr>
			<td>
			<div style="text-align:center">Subjects</div>
			</td>
			<td>
			<div style="text-align:center">Weightages</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>History</div>
			</td>
			<td>
			<div style="text-align:center">6</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Geography</div>
			</td>
			<td>
			<div style="text-align:center">7</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Polity</div>
			</td>
			<td>
			<div style="text-align:center">2</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Art and Culture</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Current Affairs</div>
			</td>
			<td>
			<div style="text-align:center">10</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Static GK</div>
			</td>
			<td>
			<div style="text-align:center">10</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>State Specific GK</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
	</tbody>
</table>

You may want to place greater emphasis&nbsp;on&nbsp;Current Affairs and&nbsp;Static GK&nbsp;as these are the topics that frequently appear in exams.

<table border="1" cellpadding="1" cellspacing="1" style="font-size:13px; width:320px">
	<tbody>
		<tr>
			<td colspan="2" style="text-align:center">
			<div>Arithmetic</div>
			</td>
		</tr>
		<tr>
			<td>
			<div style="text-align:center">Subjects</div>
			</td>
			<td>
			<div style="text-align:center">Weightages</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Simplification/Approximation</div>
			</td>
			<td>
			<div style="text-align:center">5</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Percentage</div>
			</td>
			<td>
			<div style="text-align:center">3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Profit &amp; Loss</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Time &amp; Work</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Speed, Time and Distance</div>
			</td>
			<td>
			<div style="text-align:center">3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Interest</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Ratio &amp; Proportion</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Algebra</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Mixture &amp; Allegations</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Number System</div>
			</td>
			<td>
			<div style="text-align:center">4</div>
			</td>
		</tr>
	</tbody>
</table>

According to our analysis, Simplification/Approximation&nbsp;carries&nbsp;more significance than the other topics listed. Therefore, we would suggest you allocate a larger portion of your study time to this&nbsp;topic.

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td colspan="2" style="text-align:center">
			<div>English</div>
			</td>
		</tr>
		<tr>
			<td>
			<div style="text-align:center">Subjects</div>
			</td>
			<td>
			<div style="text-align:center">Weightages</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Phrase Replacement / Sentence Improvement</div>
			</td>
			<td>
			<div style="text-align:center">0-2</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Voice</div>
			</td>
			<td>
			<div style="text-align:center">2-3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Speech</div>
			</td>
			<td>
			<div style="text-align:center">0-1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Word Replacement</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Synonyms or Antonyms</div>
			</td>
			<td>
			<div style="text-align:center">2-4</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Phrase or Idiom</div>
			</td>
			<td>
			<div style="text-align:center">3</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Fillers</div>
			</td>
			<td>
			<div style="text-align:center">13-16</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>One Word Substitution</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Types of Sentence</div>
			</td>
			<td>
			<div style="text-align:center">1</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Spellings</div>
			</td>
			<td>
			<div style="text-align:center">2</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Correct sentence</div>
			</td>
			<td>
			<div style="text-align:center">0-1</div>
			</td>
		</tr>
	</tbody>
</table>

The table above clearly shows that the topic &quot;Fillers&quot; holds greater significance compared to the other listed topics.

<h2>WBPSC Clerkship Syllabus 2023- Mains&nbsp;Exam</h2>

Now, allow us to guide you through the WBPSC Clerkship syllabus 2023 for the Mains exam. Additionally, it&#39;s important to note that the Mains exams will be of a descriptive type.

<h3><img alt="WBPSC Clerkship syllabus 2023 mains topics" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Syllabus_2023_Mains_Topics.svg" style="height:309px; width:600px" /></h3>

[Source: The Dhronas]

<h2>WBPSC Clerkship Syllabus 2023- Computer Ability and Typing Test</h2>

This round is compulsory for qualification. During this stage, candidates will be evaluated on their fundamental computer knowledge. Moreover, candidates must demonstrate the ability to type at a speed of 20 words per minute in English and 10 words per minute in Bengali.&nbsp;With this, we trust that we have addressed all inquiries regarding the WBPSC Clerkship syllabus 2023. Furthermore, let&#39;s move on to discussing the WBPSC Clerkship exam pattern 2023.

<h2>WBPSC Clerkship Exam Pattern 2023</h2>

Having a solid understanding of the WBPSC syllabus 2023, let&#39;s delve into the specifics of the WBPSC Clerkship exam structure.&nbsp;Moreover, as mentioned earlier, in the West Bengal Public Service Commission Clerkship examination, you will come across three separate stages: the Preliminary exam, the Mains exam, and a computer ability&nbsp;and typing test.

<h3>WBPSC Clerkship Prelims Exam Pattern 2023</h3>

<ul>
	<li>The WBPSC Preliminary exam included a total of three subjects-&nbsp;English, General Studies and Arithmetic.</li>
	<li>This exam will feature 100 objective-type questions and will be worth a total of 100 marks.</li>
	<li>Lastly, the Prelims exam will span a duration of 90 minutes.</li>
</ul>

<h3>WBPSC Clerkship Mains Exam Pattern 2023</h3>

<ul>
	<li>The WBPSC&nbsp;Mains&nbsp;exam comprises two subjects, namely&nbsp;English, and Bengali/Hindi/Urdu/Nepali/Santali.</li>
	<li>This exam will carry 100 marks.&nbsp;</li>
	<li>Moreover, this&nbsp;exam will last for a duration of 60 minutes.</li>
	<li>Lastly,&nbsp;the Mains exam will include descriptive-type questions.</li>
</ul>

<h2>WBPSC Clerkship 2023 Exam Dates</h2>

The West Bengal Public Service Commission (WBPSC) is on the brink of releasing the&nbsp;WBPSC Clerkship Notification 2023. Moreover, this notification&nbsp;will outline the entire&nbsp;WBPSC Clerkship recruitment process.&nbsp;Following the publication of the official notification, you will have a window to submit your application forms for the same.&nbsp;Furthermore, within a few months of the notification, the specific date for the WBPSC Clerkship Recruitment 2023 Exam will be announced by the commission.

We trust that this has provided you with the clarity you were looking for concerning&nbsp;WBPSC Clerkship syllabus 2023. Additionally, remember that&nbsp;someone wisely noted that your determination, selflessness, and courage have led you to this point. Thus, take a moment to acknowledge your achievements and then carry on with your journey. Keep believing in yourself and stay committed to your exam preparations. Wishing you luck for your exam!

WBPSC Clerkship Syllabus 2023 - Subject Wise Topics Weightage

In the pursuit of success in the WBP Constable Exam, a strong foundation in mathematical concepts is crucial, and one such fundamental concept is Percentage. This comprehensive guide on Theory and Questions related to Percentage is designed to be your key ally in mastering this mathematical aspect. Understanding and applying the principles of percentage is not only vital for acing the exam but also for practical real-life scenarios.

With this resource, you will explore the theory behind percentages and engage in practice questions that will sharpen your problem-solving skills. Get ready to boost your math proficiency and approach the WBP Constable Exam with confidence.

<h2 id="content-id-1698735668733-0">Percentage for WBP Constable Exam</h2>

Today we are going to learn about Percentages in the quant section, it is a very famous topic in the world of the WBP Constable Exam. We saw 2-3 questions are asked every year from percentages. Let’s first learn what we mean by percentage.

Percentage, which is clear by name, implies “for every hundred”. This concept is actually developed to make the comparison of fractions easier by equalising the denominators of all fractions to hundred. The percentage is derived from the Latin word “percentum” which means “per hundred” and it is denoted by %. A fraction with denominator 100 is called percentage. Similarly, a fraction with denominator 10 is called a decimal.

(Have you heard about this?)

<img alt="Percentage for WBP Constable Exam" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Percentage for WBP Constable Exam.webp" style="height:200px; width:400px">

So, let's check how to tackle the percentage problem in different ways.

<h2 id="content-id-1698735668738-1">Fraction into Percentage</h2>

Let a and b are two integers with b ≠ 0. To convert a fraction ‘a/b’ in percentage, multiply it with 100 and put a ‘%’ sign.

E.g. Convert 4/5 into a percentage.

Sol: We have to multiply this fraction to 100 first

⇒ 4/5 × 100 = 400/5 = 80

Now we have to put a ‘%’ sign at the end

⇒ 80%

Hence, 4/5 is 80%. (Ans.)

There are some frequently occurring fractions so we should remember them. Let's learn about these fractions.

<table border="1" cellpadding="1" cellspacing="1" style="width:300px">
	<tbody>
		<tr>
			<td>
			Fraction
			</td>
			<td>
			Percentage value
			</td>
			<td>
			Fraction
			</td>
			<td>
			Percentage Value
			</td>
		</tr>
		<tr>
			<td>
			1/1
			</td>
			<td>
			100%
			</td>
			<td>
			1/11
			</td>
			<td>
			9.0909%
			</td>
		</tr>
		<tr>
			<td>
			1/2
			</td>
			<td>
			50%
			</td>
			<td>
			1/12
			</td>
			<td>
			8.333%
			</td>
		</tr>
		<tr>
			<td>
			1/3
			</td>
			<td>
			33.333%
			</td>
			<td>
			1/13
			</td>
			<td>
			7.69%
			</td>
		</tr>
		<tr>
			<td>
			1/4
			</td>
			<td>
			25%
			</td>
			<td>
			1/14
			</td>
			<td>
			7.14%
			</td>
		</tr>
		<tr>
			<td>
			1/5
			</td>
			<td>
			20%
			</td>
			<td>
			1/15
			</td>
			<td>
			6.666%
			</td>
		</tr>
		<tr>
			<td>
			1/6
			</td>
			<td>
			16.666%
			</td>
			<td>
			1/16
			</td>
			<td>
			6.25%
			</td>
		</tr>
		<tr>
			<td>
			1/7
			</td>
			<td>
			14.28%
			</td>
			<td>
			1/17
			</td>
			<td>
			5.88%
			</td>
		</tr>
		<tr>
			<td>
			1/8
			</td>
			<td>
			12.5%
			</td>
			<td>
			1/18
			</td>
			<td>
			5.555%
			</td>
		</tr>
		<tr>
			<td>
			1/9
			</td>
			<td>
			11.111%
			</td>
			<td>
			1/19
			</td>
			<td>
			5.26%
			</td>
		</tr>
		<tr>
			<td>
			1/10
			</td>
			<td>
			10%
			</td>
			<td>
			1/20
			</td>
			<td>
			5%
			</td>
		</tr>
	</tbody>
</table>

 

Let's take an example to understand the use of this table.

E.g. Find 42.84% of 91.

Sol: Looks like a very difficult or calculation lenghty question. But here, we can see that, 84 is double of 42 and there is only 1 fraction in which this doubling concept applied i.e. 1/7.

Now, we just have to check whether 42 is divisible by 14 or not. Yes, it is 3 times of 14, so, 42.84% will be 3 times of 1/7.

So, 42.84% of 91 = 3/7 × 91 = 3 × 13 = 39.

Let's take one more example.

E.g. Find 37.5% of 32.

Sol: 37.5 is clearly three times of 12.5 (as 36 is three times of 12 and also there is only one case which ends with .5 which is 12.5). So, 37.5 is also 3 times of 1/8.

So, 37.5% of 24 = 3/8 × 24 = 3 × 3 = 9.

<h2 id="content-id-1698735668738-2">Percentage into Fraction</h2>

To convert the percentage into fraction, divide the number by 100 and remove the % sign.

E.g. Convert 9.09% into fraction form.

Sol: First, we have to divide this by 100

⇒ 9.09/100 = (100/11%)/100

(As we know 9.09 can be written as 100/11)

⇒ 1/11%

Now remove the % sign.

⇒ 1/11

Hence, 9.09% = 1/11 (Ans.)

Now, let's take a question asked in WBP Constable Exam.

E.g. Conversion of 0.5% in decimal is     [WBP Constable Exam 2016]

Sol: To convert any percentage into decimal we have to divide it by 100.

⇒ 0.5/100 = 5/1000 = 0.005.

Now, let's look at a word problem and then we will move on.

E.g. A student scored 85% marks. The total marks were 400. How much did he score?

Sol: As his marks are 85% of total marks and total marks are 400

⇒ His score = 85% of 400

⇒ His score = (85 / 100) × 400

⇒ His score = (85) × 4 = 340 (Ans.)

<h2 id="content-id-1698735668738-3">Effect of Percentage Change on any Quantity</h2>

Let a number ‘p’ be increased by ‘x%’ then new quantity will be

⇒ {(100 + x) / 100} × p

Similarly, when ‘p’ decreases by ‘x%’ then new quantity will be

⇒ {(100 - x) / 100} × p

Let's understand these formulae with an example.

E.g. The present salary of Amit is 3000. His salary will be increased by 15% next year, find his increased salary.

Sol: His salary is increased by 15% so here x is 15.

According to formula = {(100 + x) / 100} × p

By substituting the values,

⇒ {(100 + 15) / 100} × 3000 = {115 / 100} × 3000 = 115 × 30 = 3450 (Ans.)

Here we saw there could be an increase or decrease in quantity by some percentage.

<h2 id="content-id-1698735668738-4">Successive Increase and Decrease in Percentage</h2>

Let’s take an example to understand this.

E.g. If the length of the rectangle increases by 30% and the breadth of the rectangle decreases by 12%. Find the overall change in the area of a rectangle.

For this type of question, we don’t have to opt these long conventional methods, we have to just spell a magic formula,

Total percent change = x + y + xy/100

Where ‘x’ and ‘y’ are percentage changes on quantity. Signs of ‘x’ and ‘y’ would depend on fluctuation in quantity.

Sol: Here x = +30 and y = -12

By putting values

⇒ x + y + xy/100

⇒ 30 – 12 - 30 × 12/100 = 18 – 36/10 = 18 – 3.6 = 14.4% (Ans.)

YEAHH our magic worked.

Now, Let's look at some question on Percentage that were asked in WBP Constable Exam.

<h2 id="content-id-1698735668738-5">Examples on Percentage for Better Understanding</h2>

E.g. From the salary of a man, 20% of it was deducted. How much of that person's salary percentage must be increased so that he gets the amount of salary as he used to receive before? 
[WBP Constable Exam 2018]

Sol: Let's learn a new concept.

The decrease in n/(n + d) is negated by an n/d increase in the quantity.

Here, 20% decrease = 1/5 decrease

So, n = 1 and d = 4.

Hence, it can be negated by n/d = 1/4 in increase or 25% increase. (Ans.)

E.g. When a number is first increased by 10% and then reduced by 10%, the number ______. [WBP Constable Exam 2016]

1. Decrease by 1%    2. Does not change

3. Increase by 1%    4. Increase by 9%

Sol: Let the number be 100.

First it increase by 10%, it will become 110

Then it reduced by 10% i.e 110 - 10% of 110

⇒ 110 - 11 = 99

⇒ % decrease = 1 × 100/100 = 1%.

Hence, option 1 is correct. (Ans.)

E.g. If 35% of a number is 91, what is the number? [WBP Constable Exam 2019]

Sol: Let the number be x.

⇒ 35% of x = 91

⇒ 35x/100 = 91

⇒ x = 260 (Ans.)

E.g. If 90% of A = 30% of B and B = 2x% of A, then x = ? [WBP Constable Exam 2019]

Sol: Given, 90% of A = 30% of B

⇒ 9A = 3B ⇒ 3A = B

Also, B = 2x% of A

⇒ 3A = 2x% of A

⇒ 3 = 2x/100

⇒ x = 150 (Ans.)

We did different types of questions related to percentage which could be asked in your WBP Constable Exam. We tried our best to collect all the important concepts within this blog of percentage. We require accuracy with speed in such competitive exams especially in the quant section so keep practicing. We will be here to guide you on your journey towards the WBP Constable Exam.

In our next blog, we will disuss the <a href="https://www.thedhronas.com/blog/profit-and-loss-theory-and-questions-for-wbp-constable-exam" target="_blank">Profit and Loss</a> Concept for WBP Constable Exam. Stay Tuned!

Theory and Questions on Percentage for WBP Constable Exam

No title

In the realm of Bank Exams, the ability to effectively tackle approximation questions is a game-changer. These questions demand a unique approach, blending mathematical prowess with strategic thinking. This guide is your compass to navigate the world of approximation in Bank Exams. It's designed to equip you with a comprehensive understanding of approximation techniques, empowering you to save time without compromising accuracy.

With expert tips, real-life examples, and a wealth of practice questions, you'll sharpen your problem-solving skills and enhance your confidence when facing approximation queries during the exam. Whether you're a seasoned exam-taker or just embarking on your banking career, this resource will prove invaluable in your quest for success. Get ready to conquer Bank Exams with precision and efficiency, and unlock the door to a bright future in the banking sector.

<h2 id="content-id-10783-0">Approximation for Bank exams</h2>

We use approximation in our daily life every day, we all know how to do it, for example we say 1000 for 999, what we do we simply ignore a comparably small portion. In mathematical expressions which include division and multiplication of decimal values of large numbers we are stuck. It becomes quite complex to solve these problems, so for solving these we use approximation. We just Round-off the numbers.

<img alt="Approximation for Bank exams" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Approximation for Bank exams.webp" style="height:200px; width:400px">

When we approximate the final result obtained is not equal to the exact result, but it is very close to the exact result.

Let’s try an example.

E.g. ? = 32.01 + 128.01 × 1023.99 + 7.99

Sol: Solving by BODMAS rule, as learned earlier in <a href="https://www.thedhronas.com/blog/learn-the-basics-of-simplification-for-bank-exams" target="_blank">Simplification</a> Blog,

⇒ ? = 32.01 + 128.01 × 1023.99 + 7.99

⇒ ? = 32.01 + 131080.9599 + 7.99

⇒ ? = 131120.9599 (Ans.)

E.g. 78 × 98 – 25% of 1376

Sol: 78 × 98 – 25/100 × 1376

⇒ 7644 – 34400/100

⇒ 7644 – 344 = 7300 (Ans.) (it requires tedious calculation)

After this tedious calculation (128.01 × 1023.99) without a calculator, we are not left with time, in the exam hall we will prefer to leave this question.

In Approximation, to solve the complex mathematical expression, take the nearest value of numbers given in the expression. Try to make unit digit 0’ in most cases.

Let's look at the above question again.

E.g. ? = 32.01 + 128.01 × 1023.99 + 7.99

Sol: Let’s try to round off to nearest integer

⇒ ? = 32 + 128 × 1024 + 8

Or we can say,

⇒ ? = 25 + 27 × 210 + 23

⇒ ? = 25 + 217 + 23

⇒ ? = 23 (22 + 214 + 1)

⇒ ? = 8 (16389) = 131112 (Ans.)

By calculator we would get 131112.09. Here it is, we got the solution.

Now, let's look at the actual question asked in bank exam.

E.g. 662.899 × 42.003 ÷ (13.899 × 5.101 + 14.1022 × 0.9974) = √?/2.0034 [SBI Clerk Mains 2022]

Sol: 662.899 × 42.003 ÷ (13.899 × 5.101 + 14.1022 × 0.9974) = √?/2.0034

Taking approximate values,

⇒ 663 × 42 ÷ (14 × 5 + 14 × 1) = √?/2

⇒ 663 × 84/84 = √?

⇒ √? = 6632 = 439569 (Ans.)

[Tip: For finding 10% of a number simply move the decimal to one digit left.]

For finding 25% simply divides the number by 4.

<h2 id="content-id-10783-1">Shout-cut method for Percentage</h2>

<table border="1" cellpadding="1" cellspacing="1" style="width:300px">
	<tbody>
		<tr>
			<td>
			Sr. No.
			</td>
			<td>
			Required Percentage (%)
			</td>
			<td>
			Number divided by
			</td>
		</tr>
		<tr>
			<td>
			1.
			</td>
			<td>
			200
			</td>
			<td>
			1/2
			</td>
		</tr>
		<tr>
			<td>
			2.
			</td>
			<td>
			50
			</td>
			<td>
			2
			</td>
		</tr>
		<tr>
			<td>
			3.
			</td>
			<td>
			33.33
			</td>
			<td>
			3
			</td>
		</tr>
		<tr>
			<td>
			4.
			</td>
			<td>
			25
			</td>
			<td>
			4
			</td>
		</tr>
		<tr>
			<td>
			5.
			</td>
			<td>
			20
			</td>
			<td>
			5
			</td>
		</tr>
		<tr>
			<td>
			6.
			</td>
			<td>
			10
			</td>
			<td>
			10
			</td>
		</tr>
		<tr>
			<td>
			7.
			</td>
			<td>
			5
			</td>
			<td>
			20
			</td>
		</tr>
		<tr>
			<td>
			8.
			</td>
			<td>
			1
			</td>
			<td>
			100
			</td>
		</tr>
	</tbody>
</table>

Let's look at some examples.

E.g. 78 × 98 – 25% of 1376

Sol: 78 × 98 – 344 (Using approximation and table)

⇒ 8000 – 344 = 7656 (Ans.)

This can be done in mind without the use of pen and paper.

E.g. 34.02% of 550.09 + ? = 297.07 + √728.95

Sol: 34.02% of 550.09 + ? = 297.07 + √728.95

⇒ 34% of 550 + ? = 300 + √729

⇒ (25 + 10 – 1)% of 550 + ? = 300 + 27

⇒ 25% of 550 + 10% of 550 – 1% of 550 + ? = 327

⇒ 137.5 + 55 – 5.5 + ? = 327

⇒ 132 + ? = 327

⇒ ? = 327 – 132 = 195 (Ans.)

Now, Let's look at some question on Approximation that were asked in Bank Exams.

<h2 id="content-id-10783-2">Examples on Approximation for Better Understanding</h2>

E.g. 32.979 × 177.77 + 21.972 × 420.901 - 67.111 × 128.022 - 9.9119 = -483.969/131.889 + ?2 [SBI Clerk Mains 2022]

Sol: 32.979 × 177.77 + 21.972 × 420.901 - 67.111 × 128.022 - 9.9119 = -483.969/131.889 + ?2

Taking approximate values,

⇒ 33 × 178 + 22 × 421 - 67 × 128 - 10 = -484/132 + ?2

⇒ 5874 + 9262 - 8576 - 10 = -11 + ?2

⇒ 6561 = ?2

⇒ ? = 81 (Ans.)

E.g. 25.05% of 29.89% of 40.05% of 1000 = 20.09% of ? [IBPS Clerk Mains 2022]

Sol: 25.05% of 29.89% of 40.05% of 1000 = 20.09% of ?

⇒ 25% of 30% of 40% of 1000 ~ 20% of ?

⇒ 0.2 × ? = 30

⇒ ? = 30/0.2 = 150 (Ans.)

E.g. (?)3 × 8 = 1323 ÷ (9.261 ÷ 7) [SBI Clerk Prelims 2022]

Sol: (?)3 × 8 = 1323 ÷ (9.261 ÷ 7)

Taking Approximate values,

⇒ (?)3 × 8 = 1323 ÷ (1.323)

⇒ (?)3 × 8 = 1000

⇒ (?)3 = 125 = (5)3

⇒ ? = 5 (Ans.)

E.g. 51.88% of 199.99 + 71.89% of 499.98 = 81.89% of 199.92 + ? [IBPS Clerk Mains 2021]

Sol: 51.88% of 199.99 + 71.89% of 499.98 = 81.89% of 199.92 + ?

can be written as,

⇒ 52% of 200 + 72% of 500 = 82% of 200 + ?

⇒ 52/100 × 200 + 72/100 × 500 = 82/100 × 200 + ?

⇒ 52 × 2 + 72 × 5 = 82 × 2 + ?

⇒ 104 + 360 = 164 + ?

⇒ 464 = 164 + ?

⇒ ? = 464 - 164 = 300 (Ans.)

In conclusion, mastering the art of tackling approximation questions is an indispensable skill for achieving success in Bank Exams. This guide has equipped you with the knowledge, strategies, and practice necessary to confidently navigate these mathematical challenges. By honing your approximation techniques and practicing with real-world examples, you've bolstered your problem-solving abilities and enhanced your chances of securing a high score.

As you step into the world of Bank Exams, remember that the ability to efficiently handle approximation questions will not only save you valuable time but also set you apart as a competent and well-prepared candidate. With dedication and practice, you can confidently approach your upcoming Bank Exams, knowing that you have the skills needed to tackle approximation questions with precision and finesse. So, go forth with confidence, embrace the opportunities, and make your mark in the world of banking with your newfound expertise in approximation.

In our next blog, we will discuss another important topic of Quantitative Aptitude for Bank Exams i.e. <a href="https://www.thedhronas.com/blog/learn-the-basics-of-data-interpretation-for-bank-exams" target="_blank">Data Interpretation</a>. Stay tuned!

Learn the basic art for the Approximation questions for the SBI, IBPS and other bank&nbsp;Exams.

How to tackle Approximation Questions For Bank Exams

Gearing up for the WBCS Prelims Exam requires a multifaceted approach, and a strong foundation in mathematical concepts is undeniably one of the pillars of success. Among the various mathematical tools at your disposal, understanding the Divisibility Rule of Numbers stands out as a critical skill. This comprehensive guide is tailored to provide you with a profound understanding of these rules, making them an indispensable part of your problem-solving arsenal.

In the realm of competitive exams, the ability to quickly and accurately determine if one number is divisible by another is a game-changer. It not only saves precious time during the exam but also serves as a tool to enhance your accuracy. This guide not only deciphers the rules but also equips you with the practical knowledge and skills necessary to apply them effectively. Whether you're a seasoned test-taker or embarking on your WBCS journey, this resource will empower you to face mathematical challenges with confidence, ensuring that the Divisibility Rule becomes a trusted ally in your pursuit of success in the WBCS Prelims Exam.

This is the second part of the 'Number System' blog series. So, before understanding Divisibility Rule, first understand the '<a href="https://www.thedhronas.com/blog/understand-the-classification-of-numbers-for-wbcs-prelims-exam" target="_blank">Classification of Numbers</a>' by clicking the embedded link. Now, let's start understanding the divisibility rule.

<h2 id="content-id-10981-0">Basic Divisibility Rules of Numbers</h2>

Basic Divisibility Rules of Numbers are fundamental in math. They help quickly determine if a number is divisible by 2, 3, 5, 7, and more, aiding in problem-solving and simplifying calculations.

<img alt="Basic Divisibility Rules of Numbers" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Basic Divisibility Rules of Numbers.webp" style="height:200px; width:400px">

So, now we are going to understand the basic divisibility rules of some common numbers to ease your calculation.

Divisibility of 2: A number is always divisible by 2 if it is an even number i.e. its last digit is 0, 2, 4, 6 or 8.

Divisibility of 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

Divisibility of 4: A number is divisible by 4 if the last two digits of the number are divisible by 4.

Divisibility of 5: A number is divisible by 5 if its last digit is 0 or 5.

Divisibility of 6: A number is divisible by 6 if it is even and the sum of its digits is divisible by 3.

Divisibility of 8: A number is divisible by 8 if its last 3 digits are divisible by 8.

Divisibility of 10: A number is divisible by 10 if its last digit is 0.

Divisibility of 12: A number is divisible by 12 if it is divisible by both 3 and 4.

Let's look at this example.

E.g. Check whether 4326 is divisible by 12 or not.

Sol: We know that, a number is divisible by 12 if it is divisible by both 3 and 4. So,

Checking the divisibility by 3: 4 + 3 + 2 + 6 = 15

15 is divisible by 3, so, 4326 is divisible by 3

Checking the divisibility by 4: Last 2 digits of 4326 are 26 which is not divisible by 4.

So, 4326 is not divisible by 4 and hence, it is not divisible by 12. (Ans.)

So, like this, by looking at 4326, we can say that it has 6 (an even number) the end, so it is divisible by 2. It is divisible by 3 also (solved above). It is not divisible by 4 (solved above). It doesn't have 5 or 0 at the unit digit, so it is not divisible by 5. Since it is an even number and also divisible by 3, it is divisible by 6. Since it is not divisible by 4 hence it is not divisible by any multiple of 4 i.e. it is not divisible by 8 (also last three digits are not divisible by 8). It is not divisible by 5 so it is not divisible by 10 (also it doesn't have 0 at the end). It is also not divisible by 12 (solved above).

But, what about 7, 9, 11 and 13? Let's start discussing the Divisibility rule of 9 and 11. then, we will discuss 7 and 13 too.

<h2 id="content-id-10981-1">Divisibility rule of 9 and 11</h2>

First, we will discuss the divisibility rule of 9.

<h3>Divisibility rule of 9:</h3>

If sum of the digits of the number is 9 at the end (or a multiple of 9), hence it is divisible by 9.

E.g. 356211 has sum of the digits, 3 + 5 + 6 + 2 + 1 + 1 = 18 and 18 had sum of the digits, 8 + 1 = 9. 

So, 356211 is divisible by 9.

<h3>Divisibility rule of 11:</h3>

If the difference between the sum of the digits at odd places (from right) and the sum of the digits at even place (from right) is 0 or a multiple of 11, hence it is divisible by 11.

E.g. 356213 has the sum of the digits at odd places, 3 + 2 + 5 = 10 and the sum of the digits at even places, 1 + 6 + 3 = 10.

So, 10 – 10 = 0.

Hence it is divisible by 11.

Now, the most interesting fact is, the divisibility rule of 9 and 11 is also applicable for 99, 999, 101, 1001, etc. but in a slightly different way. 

Let’s understand this thing by taking an example of a number ‘abcdefg’.

<ul>
	<li>This number is divisible by 9 if: (a + b + c + d + e + f + g) is 9 at the end (or a multiple of 9)</li>
	<li>This number is divisible by 99 if: (a + bc + de + fg) is divisible by 99. [Pairing from right side]</li>
	<li>This number is divisible by 999 if: (a + bcd + efg) is divisible by 999. [Tripling from right side]</li>
</ul>

And so on…

Also,

<ul>
	<li>This number is divisible by 11 if: (g + e + c + a) – (d + f + b) is 0 or 11</li>
	<li>This number is divisible by 101 if: (fg + bc) – (de + a) is 0 or a multiple of 101 [Pairing from right side]</li>
	<li>This number is divisible by 1001 if: (efg + a) – (bcd) is 0 or a multiple of 1001 [Tripling from right side]</li>
</ul>

And so on…

Let us take some examples to understand it clearly.

E.g. Check whether 4636665 is divisible by 9, 99 and 999 or not.

Sol: Divisibility by 9: 4 + 6 + 3 + 6 + 6 + 6 + 5 = 36 and 3 + 6 = 9

So, yes it is divisible by 9

Divisibility by 99: (Pairing from right side) 4 + 63 + 66 + 65 = 198

So, yes it is divisible by 99

[Note: Since the number is divisible by 99. Hence, it is also divisible by all the factors of 99. And so, this number is divisible by 9]

Divisibility by 999: (Tripling from right side) 4 + 636 + 665 = 1305

So, no it is not divisible by 999.

E.g. Check whether 8064143 is divisible by 11, 101, 1001.

Sol: Divisibility by 11: (3 + 1 + 6 + 8) – (4 + 4 + 0) = 18 – 8 = 10

So, it is not divisible by 11

Divisibility by 101: (Pairing from right side) (43 + 06) – (41 + 8) = 49 – 49 = 0

So, it is divisible by 101

Divisibility by 1001: (Tripling from right side) (143 + 8) – (064) = 151 – 64 = 87

So, it is not divisible by 1001.

We will discuss it in detail in some other section of this series. Now, let's look the most asked topic, the divisibility rule of 7 and 13.

<h2 id="content-id-10981-2">Divisibility rule of 7 and 13</h2>

We have a rule for 7 that if the difference between the number of tens in the number and twice the unit digit is divisible by 7. But it has some limitations. It is good for some small numbers like 651, 994, 1078 etc. but it is a very time-consuming process for numbers like 456745. 

So, we can do some additional stuff here.

We know how to find whether a number is divisible by 1001 or not. And,

1001 = 7 × 11 × 13

So, if a number is divisible by 1001 it will also be divisible by 7 and 13. 

Yeah, I know what you are thinking right now! If there is a number, which is not divisible by 1001 but divisible by 7 then how can we check it.

We will discuss it too but for that you need to understand few concepts like Factors, multiples, LCM, HCF, Divisors, Remainders etc. For now, just remember that 1001 is the product of three prime numbers 7, 11 and 13. But if you already have the knowledge about these topics and directly want to know about the Divisibility rule of 7 and 13 in detail, then click on the embedded link.

Now, Let's look at some question on Divisibility Rule that were asked in WBCS Exams.

<h2 id="content-id-10981-3">Examples on Divisibility Rule for Better Understanding</h2>

E.g. If the number 97251*6 is completely divisible by 11, then the smallest whole number in place of * will be [WBCS Exam 2018]

Sol: 97251*6 has the sum of the digits at odd places, 6 + 1 + 2 + 9 = 18 and the sum of the digits at even places, * + 5 + 7 = 12 + *.

For the number to be divisible by 11, (12 + *) - 18 should be equal to 11 or 0

For 11:

⇒ (12 + *) - 18 = 11

⇒ * - 18 = 11

⇒ * = 28 (but it should only be of 1 digit)

For 0:

⇒ (12 + *) - 18 = 0

⇒ (12 + *) = 18

⇒ * = 6

Hence, the value of * is 6. (Ans.)

E.g. The difference between the squares of two consecutive even integers is always divisible by  [WBCS Exam 2021]

1. 3 2. 4 3. 6 4. 7

Sol: This is a tricky question but not a very hard question. Let 2n be an even number. So, its next consecutive even number will be 2n + 2.

Now, according to the question,

⇒ (2n + 2)2 - (2n)2 = 4n2 + 4 + 8n - 4n2 = 4 + 8n = 4(1 + 2n)

Hence, the difference between the squares of two consecutive even integers is always divisible by 4. (Ans.)

E.g. The sum of all two digit numbers divisible by 5 is [WBCS Exam 2018]

1. 1035 2. 1245 3. 1230 4. 945

Sol: The two digit numbers divisible by 5 are 10, 15, 20, 25, 30, 35, ...., 95

⇒ (10 + 15 + 20 + ... + 95) = 5(2 + 3 + 4 + ... + 19)

= 5[(1 + 2 + 3 + 4 + ... + 19) - ] = 5[(19/2)(2 + 18) - 1]

= 5[190 - 1] = 945 (Ans.)

In conclusion, mastering the Divisibility Rule of Numbers is a significant step towards achieving success in the WBCS Prelims Exam. This guide has equipped you with a deep understanding of these fundamental rules, allowing you to save time, improve accuracy, and enhance your problem-solving skills.

As you journey toward your WBCS goals, remember that the Divisibility Rule is not just a mathematical concept but a powerful tool in your toolkit. With dedication and practice, you can confidently tackle math-related challenges, secure a competitive edge, and approach the WBCS Prelims with the certainty of success.

So, this is all for this blog. We will discuss the <a href="https://www.thedhronas.com/blog/learn-the-concept-of-factors-and-multiples-for-wbcs-exam" target="_blank">Factors and Multiples</a> in our next blog of this 'Number System' blog series. Till then, keep practicing!

Learn the basics in the Divisibility Rule&nbsp;topic of the &#39;Number system&#39; Blog series for WBCS Exam.

Learn the Divisibility Rule of Numbers for WBCS Prelims Exam

Are you someone who's been dreaming of a career in West Bengal's administrative sector? Well, you're in luck because the West Bengal Public Service Commission (WBPSC) has just unveiled some details about the WBPSC Clerkship Eligibility Criteria 2023. On 14th October 2023, WBPSC released an <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_CLERKSHIP_INDICATIVE_NOTICE.pdf">indicative notice</a> for the release of the <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-notification-2023-recruitment-for-govt-jobs">WBPSC Clerkship notification 2023</a>. It's not an opportunity you'd want to overlook, especially if you're enthusiastic about becoming a civil servant. Let's dig deeper into this WBPSC Clerkship Eligibility Criteria 2023 and see what it's all about.

<h2 id="content-id-11003-0">WBPSC Clerkship Eligibility Criteria 2023</h2>

It is an undeniable fact that the first step towards starting your preparation for any exam is to know your eligibility. Consequently, it is important for you to know and understand the WBPSC Clerkship Eligibility Criteria 2023. There are two primary WBPSC Clerkship Eligibility Criteria 2023 for the recruitment exam. These include: 

<img alt="WBPSC Clerkship Eligibility Criteria 2023 Age Education" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Eligibility_Criteria_2023_Age_Education.svg" style="height:304px; width:600px">

[Source: The Dhronas]

<h3>Age Limit</h3>

As on 01.01.2023, you need to be at least 18 years old to apply for the WBPSC Clerkship Recruitment 2023 exam, and the maximum age limit is 40 years for candidates interested in this exam. Moreover, there are age relaxations provided to a few categories, which you can refer through the table given below:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="text-align:center">Category</td>
			<td style="text-align:center">Relaxation</td>
		</tr>
		<tr>
			<td>Schedule Caste</td>
			<td>5 years</td>
		</tr>
		<tr>
			<td>Schedule Tribe</td>
			<td>5 years</td>
		</tr>
		<tr>
			<td>Other Backward Class (non-creamy layer)</td>
			<td>3 years</td>
		</tr>
		<tr>
			<td>Persons with Benchmark Disabilities</td>
			<td>5 years</td>
		</tr>
	</tbody>
</table>

Moreover, S.C./S.T./O.B.C. candidates from other States will not receive any relaxation, and they will be treated on par with general candidates.

<h3>Educational Qualification</h3>

The second WBPSC Clerkship eligibility criteria 2023 is the educational qualification. Refer to the bullet points given below:

<ul>
	<li>If you want to apply for the WBPSC Clerkship Recruitment 2023 exam, you should have successfully cleared the Madhyamik Exam. </li>
	<li>Attainment of basic knowledge in computer operations, including the ability to type at a speed of 20 words per minute in English or 10 words per minute in Bengali.</li>
</ul>

If you meet the WBPSC Clerkship Eligibility Criteria 2023, it's time to gear up for your preparation and seize this fantastic opportunity to secure a government job. Good luck with your WBPSC Clerkship Exam 2023 journey!

<h2 id="content-id-11003-1">WBPSC Clerkship Notification 2023 - An Overview</h2>

How about we give you a clear road map for navigating this exam process before we get into all the minutiae in the WBPSC Clerkship Notification 2023? Knowing what is ahead is quite helpful as you embark on this significant and maybe transformative journey. We'll give you a quick rundown of all the key details of the <a href="https://wbpsc.gov.in/Download?param1=An_20231204154303_Clerkship.pdf&param2=advertisement">official WBPSC Clerkship Notification 2023</a>.

<ul>
	<li>WBPSC Clerkship Indicative Notification 2023 was released on October 14, 2023 on their <a href="https://wbpsc.ucanapply.com/apply-now?app_id=UElZMDAwMDAwMQ==">official website</a>.</li>
	<li>Further, WBPSC Clerkship exam consist of 3 phases: Prelims Exam, Mains Exam, and Typing Test.</li>
	<li>Moreover, this exam will be conducted in Hindi and English.</li>
	<li>Fullfilling the WBPSC Clerkship Eligbility Criteria 2023 is an major criteria in the official notification.</li>
</ul>

Now since you have had a brief understanding of the WBPSC Clerkship eligibility criteria 2023 and its official notification. Let’s take a look at the next segment.

<h2 id="content-id-11003-2">WBPSC Clerkship Important Exam Dates 2023</h2>

The West Bengal Public Service Commission (WBPSC) has released the comprehensive WBPSC Clerkship Notification 2023 detailing the recruitment process. Furthermore, you will have a window of about twenty days to submit your application for the WBPSC Clerkship Recruitment 2023. Moreover, in order to understand better, please cater to the information given below:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="text-align:center">
			<div>Details</div>
			</td>
			<td style="text-align:center">
			<div>Dates</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Notification 2023 (Indicative) Release Date</div>
			</td>
			<td>
			<div>13th October 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Notification 2023 Release Date</div>
			</td>
			<td>
			<div>4th December 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Application Open Date</div>
			</td>
			<td>
			<div>8th December 2023 (3:00 pm)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Application Close Date 2023</div>
			</td>
			<td>
			<div>29 December 2023 (3:00 pm)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees through offline</div>
			</td>
			<td>
			<div>30 December 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Tentative Exam Date for Part I examination</div>
			</td>
			<td>
			<div>June 2024</div>
			</td>
		</tr>
	</tbody>
</table>

Additionally, within a few months, the specific date for the WBPSC Clerkship Recruitment 2023 Exam will be announced by the West Bengal Public Service Commission (WBPSC). Rest assured, when this crucial date is disclosed, we'll promptly share all the details with you in our <a href="https://thedhronas.com/blog/wbpsc-clerkship-exam-date-2023-the-exam-is-in-june-2024">WBPSC Clerkship exam date 2023</a>. Now that you have understood all about the WBPSC Clerkship Eligibility Criteria 2023 and its important dates. Let's hop on to the next segment.

<h2 id="content-id-11003-3">WBPSC Clerkship Exam Pattern 2023</h2>

Understanding the format of the WBPSC Clerkship exam is like having a clear route for your future travels. This knowledge is essential since it helps with efficient preparation and gives precise directions for being prepared, which will ultimately boost your confidence on test day. So now that you have ticked all the WBPSC Clerkship eligibility criteria 2023, let's make the WBPSC Clerkship exam pattern simpler.

Additionally, there will be three stages to the West Bengal Public Service Commission Clerkship exam: an objective-style test, a descriptive-style test, and a computer ability and typing test.

WBPSC Clerkship Prelims Exam Pattern 2023

<ul>
	<li>Subject: English, General Studies and Arithmetic</li>
	<li>Total Questions: 100</li>
	<li>Total Marks: 100</li>
	<li>Duration: 90 minutes</li>
	<li>Negative marking: 0.25</li>
	<li>Type: Objective-type test</li>
</ul>

WBPSC Clerkship Mains Exam Pattern 2023

<ul>
	<li>Subject: English and Bengali/Hindi/Urdu/Nepali/Santali</li>
	<li>Total Marks: 100</li>
	<li>Duration: 60 minutes.</li>
	<li>Type: Descriptive-type test</li>
</ul>

Computer Ability and Typing Test

For you, this marks the final step in the WBPSC Clerkship recruitment process. This is where your typing speed and basic computer knowledge will be assessed.

Furthermore, for detailed information you can refer to our <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-exam-pattern-2023-100-questions-in-90-minutes">WBPSC Clerkship Exam Pattern 2023</a> blog at <a href="https://www.thedhronas.com/blog">thedhronas</a>.

<h2 id="content-id-11003-4">WBPSC Clerkship Syllabus 2023</h2>

The WBPSC Clerkship Notification 2023 was released on 4th December 2023 on their official website, according to the West Bengal Public Service Commission (WBPSC). To effectively study for the WBPSC Clerkship Exam 2023, aspirant like you must have a complete comprehension of the WBPSC Clerkship Syllabus 2023. 

Additionally, now that you understand the format of the exam well, it's essential to familiarize yourself with the particular subjects you need to concentrate on. This step is crucial since a thorough comprehension of the syllabus will direct your study plan, help you choose the right study resources, and enable effective time management. In the end, it results in a prepared journey that is efficient and well-organized. Let's examine the WBPSC Clerkship 2023 syllabus in more detail:

Prelims Syllabus

<ul>
	<li> General Studies</li>
	<li> Arithmetic</li>
	<li> English</li>
</ul>

Mains Syllabus

<ul>
	<li>English </li>
	<li>Bengali/Hindi/Urdu/Nepali/Santali</li>
</ul>

To sum it up, your knowledge of the <a href="https://www.thedhronas.com/blog/wbpcs-clerkship-syllabus-2023-subject-wise-topics-weightage">WBPSC Clerkship Syllabus 2023</a> is your foundation for confident and effective preparation.

To apply for the exam successfully, you must first meet the WBPSC Clerkship Eligibility Criteria 2023. Verify that you fulfill the requirements for age, nationality, education, and physical qualifications outlined in the official notification. If you have any questions, feel free to browse through our FAQs or leave a comment below, and we will respond as soon as possible with all the information you need.I wish you luck! We sincerely wish you land your ideal position and get to defend our nation!

Are you someone who&#39;s been dreaming of a career in West Bengal&#39;s administrative sector? Well, you&#39;re in luck because the West Bengal Public Service Commission (WBPSC) has just unveiled some details about the WBPSC Clerkship Eligibility Criteria 2023. On 14th October 2023, WBPSC released an&nbsp;<a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_CLERKSHIP_INDICATIVE_NOTICE.pdf">indicative notice</a>&nbsp;for the release of the <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-notification-2023-recruitment-for-govt-jobs">WBPSC Clerkship notification 2023</a>. It&#39;s not an opportunity you&#39;d want to overlook, especially if you&#39;re enthusiastic about becoming a civil servant. Let&#39;s dig deeper into this WBPSC Clerkship&nbsp;Eligibility Criteria 2023 and see what it&#39;s all about.

<h2>WBPSC Clerkship Eligibility Criteria 2023</h2>

It is an undeniable fact that the first step towards starting your preparation for any exam is to know your eligibility. Consequently, it is important for you to know and understand the WBPSC Clerkship Eligibility Criteria 2023. There are two primary WBPSC Clerkship Eligibility Criteria 2023 for the recruitment exam. These include:&nbsp;

<img alt="WBPSC Clerkship Eligibility Criteria 2023 Age Education" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Clerkship_Eligibility_Criteria_2023_Age_Education.svg" style="height:304px; width:600px" />

[Source: The Dhronas]

<h3>Age Limit</h3>

As on 01.01.2023, you need to be at least 18 years old to apply for the WBPSC Clerkship Recruitment 2023 exam, and the maximum age limit is 40 years for candidates interested in this exam. Moreover, there are age relaxations provided to a few categories, which you can refer through the table given below:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="text-align:center">Category</td>
			<td style="text-align:center">Relaxation</td>
		</tr>
		<tr>
			<td>Schedule Caste</td>
			<td>5 years</td>
		</tr>
		<tr>
			<td>Schedule Tribe</td>
			<td>5 years</td>
		</tr>
		<tr>
			<td>Other Backward Class&nbsp;(non-creamy layer)</td>
			<td>3 years</td>
		</tr>
		<tr>
			<td>Persons with Benchmark Disabilities</td>
			<td>5 years</td>
		</tr>
	</tbody>
</table>

Moreover, S.C./S.T./O.B.C. candidates from other States will not receive any relaxation, and they will be treated on par with general candidates.

<h3>Educational Qualification</h3>

The second WBPSC Clerkship eligibility criteria 2023 is the educational qualification. Refer to the bullet points given below:

<ul>
	<li>If you want to apply for the WBPSC Clerkship Recruitment 2023 exam, you should have successfully cleared the Madhyamik Exam.&nbsp;</li>
	<li>Attainment of basic knowledge in computer operations, including the ability to type at a speed of 20 words per minute in English or 10 words per minute in Bengali.</li>
</ul>

If you meet the WBPSC Clerkship Eligibility Criteria 2023, it&#39;s time to gear up for your preparation and seize this fantastic opportunity to secure a government job. Good luck with your WBPSC Clerkship Exam 2023 journey!

<h2>WBPSC Clerkship Notification 2023 - An Overview</h2>

How about we give you a clear road map for navigating this exam process before we get into all the minutiae in the WBPSC Clerkship Notification 2023? Knowing what is ahead is quite helpful as you embark on this significant and maybe transformative journey.&nbsp;We&#39;ll give you a quick rundown of all the key details of the <a href="https://wbpsc.gov.in/Download?param1=An_20231204154303_Clerkship.pdf&amp;param2=advertisement">official WBPSC Clerkship Notification 2023</a>.

<ul>
	<li>WBPSC Clerkship Indicative Notification 2023&nbsp;was released on October 14, 2023 on their <a href="https://wbpsc.ucanapply.com/apply-now?app_id=UElZMDAwMDAwMQ==">official website</a>.</li>
	<li>Further, WBPSC Clerkship exam consist of 3 phases: Prelims Exam, Mains Exam, and Typing Test.</li>
	<li>Moreover, this exam will be conducted in Hindi and English.</li>
	<li>Fullfilling the WBPSC Clerkship Eligbility Criteria 2023 is an major criteria in the official notification.</li>
</ul>

Now since you have had a brief understanding of the WBPSC Clerkship eligibility criteria 2023 and its official notification. Let&rsquo;s take a look at the next segment.

<h2>WBPSC Clerkship Important Exam Dates&nbsp;2023</h2>

The West Bengal Public Service Commission (WBPSC) has released the comprehensive WBPSC Clerkship Notification 2023 detailing the recruitment process. Furthermore, you will have a window of about twenty days to submit your application for the WBPSC Clerkship Recruitment 2023. Moreover, in order to understand better, please cater to the information given below:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="text-align:center">
			<div>Details</div>
			</td>
			<td style="text-align:center">
			<div>Dates</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Notification 2023 (Indicative) Release Date</div>
			</td>
			<td>
			<div>13th October 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Notification 2023 Release Date</div>
			</td>
			<td>
			<div>4th December 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Application Open Date</div>
			</td>
			<td>
			<div>8th December 2023 (3:00 pm)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>WBPSC Clerkship Application Close Date 2023</div>
			</td>
			<td>
			<div>29 December 2023 (3:00 pm)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees through offline</div>
			</td>
			<td>
			<div>30&nbsp;December 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Tentative Exam Date for Part I examination</div>
			</td>
			<td>
			<div>June 2024</div>
			</td>
		</tr>
	</tbody>
</table>

Additionally, within a few months, the specific date for the WBPSC Clerkship Recruitment 2023 Exam will be announced by the West Bengal Public Service Commission (WBPSC). Rest assured, when this crucial date is disclosed, we&#39;ll promptly share all the details with you in our&nbsp;<a href="https://thedhronas.com/blog/wbpsc-clerkship-exam-date-2023-the-exam-is-in-june-2024">WBPSC Clerkship exam date 2023</a>.&nbsp;Now that you have understood all about the WBPSC Clerkship Eligibility Criteria 2023 and its important dates. Let&#39;s hop on to the next segment.

<h2>WBPSC Clerkship Exam Pattern 2023</h2>

Understanding the format of the WBPSC Clerkship exam is like having a clear route for your future travels. This knowledge is essential since it helps with efficient preparation and gives precise directions for being prepared, which will ultimately boost your confidence on test day. So now that you have ticked all the WBPSC Clerkship eligibility criteria 2023, let&#39;s make the WBPSC Clerkship exam pattern simpler.

Additionally, there will be three stages to the West Bengal Public Service Commission Clerkship exam: an objective-style test, a descriptive-style test, and a computer ability and typing test.

WBPSC Clerkship Prelims Exam Pattern 2023

<ul>
	<li>Subject:&nbsp;English, General Studies and Arithmetic</li>
	<li>Total Questions:&nbsp;100</li>
	<li>Total Marks:&nbsp;100</li>
	<li>Duration:&nbsp;90 minutes</li>
	<li>Negative marking: 0.25</li>
	<li>Type:&nbsp;Objective-type test</li>
</ul>

WBPSC Clerkship Mains Exam Pattern 2023

<ul>
	<li>Subject:&nbsp;English and Bengali/Hindi/Urdu/Nepali/Santali</li>
	<li>Total Marks:&nbsp;100</li>
	<li>Duration:&nbsp;60 minutes.</li>
	<li>Type:&nbsp;Descriptive-type test</li>
</ul>

Computer Ability and Typing Test

For you, this marks the final step in the WBPSC Clerkship recruitment process. This is where your typing speed and basic computer knowledge will be assessed.

Furthermore, for&nbsp;detailed information you can refer to our <a href="https://www.thedhronas.com/blog/wbpsc-clerkship-exam-pattern-2023-100-questions-in-90-minutes">WBPSC Clerkship Exam Pattern 2023</a> blog&nbsp;at <a href="https://www.thedhronas.com/blog">thedhronas</a>.

<h2>WBPSC Clerkship Syllabus 2023</h2>

The WBPSC Clerkship Notification 2023 was released on 4th December 2023 on their official website, according to the West Bengal Public Service Commission (WBPSC). To effectively study for the WBPSC Clerkship Exam 2023, aspirant&nbsp;like you must have a complete comprehension of the WBPSC Clerkship Syllabus 2023.&nbsp;

Additionally, now that you understand the format of the exam well, it&#39;s essential to familiarize yourself with the particular subjects you need to concentrate on. This step is crucial since a thorough comprehension of the syllabus will direct your study plan, help you choose the right study resources, and enable effective time management. In the end, it results in a prepared journey that is efficient and well-organized. Let&#39;s examine the WBPSC Clerkship 2023 syllabus in more detail:

Prelims&nbsp;Syllabus

<ul>
	<li>&nbsp;General Studies</li>
	<li>&nbsp;Arithmetic</li>
	<li>&nbsp;English</li>
</ul>

Mains Syllabus

<ul>
	<li>English&nbsp;</li>
	<li>Bengali/Hindi/Urdu/Nepali/Santali</li>
</ul>

To sum it up, your knowledge of the <a href="https://www.thedhronas.com/blog/wbpcs-clerkship-syllabus-2023-subject-wise-topics-weightage">WBPSC Clerkship Syllabus 2023</a>&nbsp;is your foundation for confident and effective preparation.

To apply for the exam successfully, you must first meet the WBPSC Clerkship&nbsp;Eligibility Criteria 2023. Verify that you fulfill the requirements for age, nationality, education, and physical qualifications outlined in the official notification. If you have any questions, feel free to browse through our FAQs or leave a comment below, and we will respond as soon as possible with all the information you need.I wish you luck! We sincerely wish you land your ideal position and get to defend our nation!

WBPSC Clerkships Eligibility Criteria 2023

WBPSC Clerkship Eligibility Criteria 2023 - Age, Education

WBCS Prelims Previous Year Paper 2019 - Questions with Answer Key

WBCS Prelims Previous Year Paper 2019 Solutions - Download PDF

In the realm of competitive exams, the knowledge of Factors and Multiples forms the bedrock of mathematical reasoning. Whether you're aspiring to conquer the WBCS Exam or any other competitive test, understanding these fundamental concepts is vital. Factors are the building blocks of numbers, and multiples are their extensions, intricately linked in mathematical relationships. This guide will unravel the intricacies of Factors and Multiples, providing you with the tools to tackle numerical questions with confidence.

From grasping the essence of prime factors to discerning the properties of multiples, we will explore every facet of this topic. By the end of this journey, you'll not only have a solid grasp of these concepts but also the ability to apply them effectively in the WBCS Exam, propelling you towards success in your competitive endeavors. So, let's embark on this mathematical expedition to sharpen your skills and enhance your exam readiness.

This is the third part of the 'Number System' blog series. So, before understanding concepts of factors and multiples, first understand the '<a href="https://www.thedhronas.com/blog/understand-the-classification-of-numbers-for-wbcs-prelims-exam" target="_blank">Classification of Numbers</a>' and '<a href="https://www.thedhronas.com/blog/learn-the-divisibility-rule-of-numbers-for-wbcs-prelims-exam" target="_blank">Divisibility Rule of Numbers</a>' by clicking the embedded links. Now, let's start understanding the concepts of factors and multiples.

<h2 id="content-id-14085-0">Factors and Multiples</h2>

Firstly, let’s just differentiate between the meaning of factors and multiples.

FACTORS: Factors of a number are the numbers by which when the number is divided, the remainder will be 0.

MULTIPLES: Multiples of a number are the numbers which are if divided by the number, the remainder will be 0. 

E.g. 8 has the factors 1, 2, 4 and 8 and has the multiples 8, 16, 24, etc.

<img alt="Factors and Multiples" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Factors and Multiples.webp" style="height:200px; width:400px">

Now, let’s talk about factors.

<h2 id="content-id-14085-1">Properties of Factors</h2>

We have learned in the first blog that any number greater than 1 can be written as the product of prime factors. Let’s generalize this term then we will explore this topic. 

Let N is a composite number. So, by above statement, N can be written as,

N = ap × bq × cr × …

(Where a, b, c are distinct prime factors of N and p, q, r are integers)

So, the general formula to calculate the number of factors of N is,

Total number of factors of N = (p + 1) (q + 1) (r + 1) …

Let's take an example.

E.g. Find the total number of factors of 756.

Sol: 756 can be written as, 756 = 22 × 33 × 7

So, the total number of factors of 756 = (2 + 1) (3 + 1) (1 + 1) = 3 × 4 × 2 = 24. (Ans.)

E.g. How many factors of 756 are multiple of 12?

Sol: 756 = 22 × 33 × 7 and 12 = 22 × 3

⇒ 756 = 22 × 31 [32 × 71]

Since we have to find out the multiples of 12 in it. So, this [32 × 71] is important for us.

No. of factors = (2 + 1) (1 + 1) = 3 + 2 = 6. (Ans.)

Let's look at the properties of Factors. The properties of factors are as follows:

<ul>
	<li>Every number has at least two factors: 1 and itself.</li>
	<li>A prime number has only two factors: 1 and itself.</li>
	<li>Every factor of a number is less than or equal to the number itself.</li>
	<li>The product of two factors of a number is always equal to the number itself.</li>
	<li>The sum of two factors of a number is not always equal to the number itself.</li>
	<li>The number of factors of a number is finite.</li>
	<li>The factors of a product are the same as the product of the factors of the individual numbers.</li>
	<li>The factors of a sum are not the same as the sum of the factors of the individual numbers.</li>
</ul>

Note: The number of factors of a perfect square is always odd because if we write the factors of any number in ascending order then the product of corresponding terms will give the number itself.

E.g. Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100.

Here, 1 × 100 = 100, 2 × 50 = 100, 4 × 25 = 100, 5 × 20 = 100.

But since only 10 is left so it should be multiply by itself (that’s why 100 is perfect square). So that’s why, the number of factors of a perfect square is always odd.

We've discussed Co-prime numbers in our previous blogs. Let's discuss Co-prime numbers in detail.

<h2 id="content-id-14085-2">Co-Prime Numbers</h2>

As discussed earlier, Co-Prime numbers are the two numbers which have no common factor other than 1.

E.g. 24 and 25 are co-prime numbers because 24 has factors 1, 2, 3, 4, 6, 8, 12, 24 and 25 has factors 1, 5, 25. No factor is common other than 1.

Now let us take a look at some interesting points:

<ol>
	<li>The product of two consecutive integers is always even. Because one of them is even and one of them is odd, so the product will always be even.</li>
	<li>The product of three consecutive integers is always divisible by 6. Because one of them is always even and one of them is always divisible by 3.</li>
	<li>Like that, the product of four consecutive integers is always divisible by 24.</li>
	<li>The product of n consecutive integers will always be divisible by n!</li>
	<li>1 digit numbers are 9. 
	2 digit numbers are 90 (from 10 to 99). So, they have 90 × 2 = 180 digits. 
	3 digit numbers are 900 (from 100 to 999). So, they have 900 × 3 = 2700 digits. 
	4 digit numbers are 9000 (from 1000 to 9999). So, they have 9000 × 4 = 36000 digits. And so on.</li>
</ol>

E.g. Divya typed the first n natural numbers on a keyboard without any spaces. If she had to press keys 1692 times, find n.

Sol: 1 digit numbers have 9 digits. 2 digit numbers are 90 and have 180 digits. So, 1692 – (180 + 9) = 1503.

Since 3 digit numbers are 900 and have 2700 digits but we left only 1503 digits, it means the number is a 3 digit number.

Now, 1503/3 = 501, means it is the 501th 3 digit number.

So, the number is, 501 + 90 + 9 = 600. (Ans.)

Now, let's look at the Multiples. It's not something very hard to discuss but let's look at the properties of Multiples.

<h2 id="content-id-14085-3">Properties of Multiples</h2>

As discussed earlier, a multiple of a number is a product of that number and any other integer.

For example, the multiples of 5 are 5, 10, 15, 20, 25, and so on.

Let's look at some properties of Multiples.

<ul>
	<li>Every integer is a multiple of itself and 1.</li>
	<li>The multiples of a number are always greater than or equal to the number itself.</li>
	<li>There is no end to the multiples of a number.</li>
	<li>The multiples of an odd number are alternatively odd and even.</li>
	<li>The sum of two or more multiples of a number is also a multiple of that number.</li>
	<li>The product of two or more multiples of a number is also a multiple of that number.</li>
</ul>

We will discuss the Factors and Multiples in detail in our next blog i.e. LCM and HCF. But for now let us look at few examples and if you are now confident about this section, just try these questions by yourself before looking at my solution. It would be fun. Some of these questions were asked in the WBCS Exam. So, please take this section very seriously.

<h2 id="content-id-14085-4">Examples on Factors and Multiples for Better Understanding</h2>

E.g. The sum of first five multiples of 3 is [WBCS Exam 2021]

Sol: The first five multiples of 3 are 3, 6, 9, 12, 15.

Their sum = 3 + 6 + 9 + 12 + 15 = 45. (Ans.)

E.g. The number of multiples of 4 between 10 and 250 is [WBCS Exam 2021]

Sol: The number of multiples of 4 below 250 = 250/4 = 62.5 ≈ 62 multiples

The number of multiples of 4 below 10 = 10/4 = 2.5 ≈ 2 multiples

Required answer = 62 - 2 = 60. (Ans.)

E.g. The sum of three consecutive multiples of 3 is 72. What is the largest number? [WBCS Exam 2018]

Sol: Let, the three consecutive multiples of 3 are 3(a - 1), 3a, 3(a + 1).

So, 3(a - 1) + 3a + 3(a + 1) = 72

⇒ 3a - 3 + 3a + 3a + 3 = 72

⇒ 9a = 72

⇒ a = 8

So, the three numbers are (3 × 7), (3 × 8) and (3 × 9) i.e. 21, 24, 27.

Hence, the largest number is 27. (Ans.)

Now, let's take 2 high level very interesting questions of this topic which will help you to understand this topic and its applications in deep.

E.g. How many natural numbers divide 35999 but do not divide 35998?

Sol: Just read the question 2 or 3 times and find what this question wants us to calculate. It wants us to find the factors of 35999 which are not the factors of 35998. In simple words,

(No. of factors of 35999) – (No. of factors of 35998), 

Because these are the only factors which are greater than 35998 and, so that, they do not divide 35998.

Now,

⇒ 35999 = (5 × 7)999 = 5999 × 7999

⇒ No. of factors = (999 + 1) (999 + 1) = 1000 × 1000 = 10002

Also,

⇒ 35998 = (5 × 7)998 = 5998 × 7998

⇒ No. of factors = (998 + 1) (998 + 1) = 999 × 999 = 9992

∴ required answer = 10002 – 9992 = (1000 + 999) (1000 – 999) = 1999 × 1 = 1999. (Ans.)

E.g. In an NGO, there are 70 workers. All the workers visited an old age home having 70 senior citizens. The first worker donated Rs. 1000 to each senior citizen. The second worker donated Rs. 1000 to every second senior citizen starting from the second senior citizen. The third worker donated Rs. 1000 to every third senior citizen starting from the third senior citizen and so on. How many senior citizens received donations from an odd number of workers?

Sol: Read the question twice and thrice and try to understand what this question wants to say. The first worker gives rupees to all 70 citizens. But the 2nd worker gives only to 2nd, 4th, 6th, 8th, etc. citizens. Same thing is done by 3rd, he gives rupees to only 3rd, 6th, 9th, 12th, etc. citizens. Same for 4th, 5th, 6th workers till 70th. 

It means, a worker whose number is x is giving money to all the citizens whose number is a multiple of x.

And hence, the citizen, whose number is y, is receiving the donations from all the workers whose number is a factor of y. i.e. is receiving as many donations as the number of factors of y. 

So, we just have to find out, from 1 to 70, how many numbers have odd numbers of factors. 

And from the previous discussion, we know that only perfect squares have an odd number of factors. 

And from 1 to 70, there are 8 perfect squares, which are 1, 4, 9, 16, 25, 36, 49 and 64.

So, the answer is, only 8 senior citizens received donations from an odd number of workers. (Ans.)

In conclusion, mastering the concept of Factors and Multiples is a pivotal step towards WBCS Exam success. These mathematical foundations are essential for problem-solving and logical reasoning. Armed with this knowledge, you're better equipped to navigate the numerical challenges of the exam and elevate your chances of achieving your goals.

So, this is all for this blog. We will discuss the <a href="https://www.thedhronas.com/blog/learn-the-concept-of-lcm-and-hcf-for-wbcs-exam" target="_blank">LCM and HCF</a> in our next blog of this 'Number System' blog series. Till then, keep practicing!

Learn the basics in the Factors and Multiples topic of the &#39;Number system&#39; Blog series for WBCS Exam.

Learn the concept of Factors and Multiples for WBCS Exam

The <a href="https://file:///C:/Users/HP/Downloads/WBPSC-Miscellaneous-Services-Recruitment-Notification-2023.pdf">official WBPSC Miscellaneous Notification 2023</a> has been released, and numerous candidates are gearing up for their exam preparation. Therefore, join us as we guide you to your initial destination and explore the WBPSC Miscellaneous Eligibility Criteria 2023. Moreover, in this blog post, we'll not only discuss the WBPSC Miscellaneous Eligibility Criteria 2023 but also delve into essential details such as key aspects of the notification, important exam timelines, and the exam structure.

<h2 id="content-id-15074-0">WBPSC Miscellaneous Eligibility Criteria 2023</h2>

A fundamental step in preparing for any exam is to ascertain your eligibility, consequently, it's crucial to comprehend the WBPSC Miscellaneous Eligibility Criteria 2023. We have developed an infographic below to provide you with an overview of the WBPSC Miscellaneous Eligibility Criteria 2023.

<img alt="WBPSC Miscellaneous Eligibility Criteria 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Miscellaneous_Eligibility_Criteria_2023.svg" style="height:304px; width:600px">

[Source: The Dhronas]

Having gained a concise understanding of the WBPSC Miscellaneous Eligibility Criteria 2023, let's delve into a detailed discussion of these specific requirements.

<h3>Nationality</h3>

<ul>
	<li>You must possess Indian citizenship, either by birth or by registration.</li>
	<li>Individuals from other nations as declared eligible by the Government of India.</li>
</ul>

To understand it better, you can take help of the snippet attached below for your reference.

<img alt="WBPSC Miscellaneous eligibility criteria 2023 nationality" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Miscellaneous_Eligibility_Criteria_2023_Nationality.svg" style="height:112px; width:500px">

[Source: wpsc.gov.in]

Furthermore, if you fall into the last category, it is mandatory to possess a certificate of eligibility issued by the Government of India.

<h3>Age Limit</h3>

<ul>
	<li>To be eligible, you should be below 20 years old and not above 39 years old as of 01.01.2023. To be specific, your birthdate must fall between January 2, 1984, and January 1, 2003.</li>
	<li>Please take note that the age mentioned on your Madhyamik or equivalent certificate will serve as the valid age for this application. Moreover, this criterion is applicable to all candidates, regardless of whether you are currently employed in government service or not.</li>
</ul>

<h4>Age Relaxation:</h4>

<ul>
	<li>In West Bengal, individuals belonging to the SC or ST category can benefit from a maximum age relaxation of 5 years.</li>
	<li>OBC (Non-Creamy Layer) candidates in West Bengal are eligible for an age relaxation of up to 3 years.</li>
	<li>Persons with benchmark disabilities (PwBD) may have their upper age limit extended to 45 years.</li>
	<li>It's important to note that no age relaxation is applicable to SC/ST/OBC candidates from other states, as they will be treated as general candidates.</li>
</ul>

<h3>Educational Qualification</h3>

<ul>
	<li>You must hold a degree from a recognised university or its equivalent.</li>
	<li>Candidates are required to be proficient in reading, writing, and speaking in Bengali. However, it's important to note that this prerequisite is not applicable to individuals whose mother tongue is Nepali, as specified in the Finance Department's Notification No. 1243-F(P) dated March 2, 2016.</li>
	<li>In case your mother tongue is a language other than Bengali or Nepali, your knowledge of Bengali will be evaluated during the personality test. However, candidates who perform poorly or have average proficiency in the Bengali knowledge test might face the risk of having their candidature revoked.</li>
</ul>

For your reference, we have attached a snippet from the official notification below.

<img alt="WBPSC Miscellaneous eligibility criteria 2023 education" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Miscellaneous_Eligibility_Criteria_2023_Education.svg" style="height:134px; width:500px">

[Source: wbps.gov.in]

Moreover, remember once you submit your application, there will be no consideration for claims related to SC/ST/O.B.C. status, benchmark disability, or meritorious sportsperson status. Having yourself acquainted with the WBPSC Miscellaneous Eligibility Criteria 2023, are you excited to explore the available job positions and their respective salary packages? If so, we have covered got you covered in the upcoming sections.

<h2 id="content-id-15074-1">WBPSC Miscellaneous 2023 - An Overview</h2>

The WBPSC Miscellaneous is an annually recurring exam conducted by the West Bengal Public Service Commission. Moreover, the notification for the 2023 exam was released on October 3 via the <a href="https://wbpsc.gov.in/">official WBPSC website</a>. Subsequently, the application form link was made active, allowing candidates to complete it until November 2, 2023. Moreover, information regarding the available job openings will be provided at a later date. For a comprehensive understanding of the official notification, please refer to our blog titled "<a href="https://www.thedhronas.com/blog/wbpsc-miscellaneous-recruitment-notification-2023-pdf-out-now">WBPSC Miscellaneous notification 2023</a>."

<h2 id="content-id-15074-2">WBPSC Miscellaneous Important Exam Dates 2023</h2>

Now that you've acquainted yourself with the WBPSC Miscellaneous Eligibility Criteria 2023, let's proceed to unravel the examination dates. As per the official WBPSC Miscellaneous Recruitment Notification 2023, we have summarized the key dates provided by the authorities in the table below for your convenience and quick reference:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td>
			<div>EVENTS</div>
			</td>
			<td>
			<div>DATES</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Notification release date</div>
			</td>
			<td>
			<div>October 03, 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Submission of online application</div>
			</td>
			<td>
			<div>October 05, 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of online application</div>
			</td>
			<td>
			<div>November 02, 2023 (upto 3:00 P.M.)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees (online)</div>
			</td>
			<td>
			<div>November 02, 2023 (upto 3:00 P.M.)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees (offline)</div>
			</td>
			<td>
			<div>November 03, 2023</div>
			</td>
		</tr>
	</tbody>
</table>

Now that you are aware of the WBPSC Miscellaneous important dates, let's move on to the subsequent step and delve into the exam pattern.

<h2 id="content-id-15074-3">WBPSC Miscellaneous Exam Pattern 2023</h2>

To excel in the WBPSC Miscellaneous exam, it's essential to gain a comprehensive understanding of its examination structure. Acquainting yourself with the exam pattern will assist you in devising a strategic plan and addressing the questions effectively. The WBPSC Miscellaneous selection process includes three stages- a Preliminary exam, followed by the Final exam and then, the Personality Test. With that in mind, let's delve into the WBPSC Miscellaneous exam pattern:

<h3>Preliminary Exam</h3>

<ul>
	<li>The Preliminary exam will feature a total of 100 multiple choice objective type questions.</li>
	<li>Moreover, this exam will encompass two subjects.</li>
	<li>Lastly, this exam will carry a total of 200 marks.</li>
</ul>

<h3>Final Exam</h3>

<ul>
	<li>The Final exam will include conventional type questions.</li>
	<li>Additionally, the Final exam includes a total of three papers- I, II & III.</li>
	<li>Finally, this exam will be worth 450 marks.</li>
</ul>

<h3>Personality Test</h3>

<ul>
	<li>The personality test carries 100 marks.</li>
	<li>Only a select few candidates, chosen based on merit from the final examination, will be called in for the personality test.</li>
	<li>The Final Merit List will be determined by considering the marks you secure in all three papers of the Final Examination and the marks from the Personality Test combined.</li>
</ul>

For more information regarding the exam pattern, make sure to check out our blog titled "<a href="https://www.thedhronas.com/blog/wbpsc-miscellaneous-exam-pattern-450-questions-in-240-minutes">WBPSC Miscellaneous Exam Pattern 2023</a>". After gaining a thorough understanding of the WBPSC Miscellaneous eligibility criteria 2023 and exam pattern we are now sensing that you guys must be wondering about the syllabus. If that's the case, rest assured, we have got you covered in the next segment of the blog!

<h2 id="content-id-15074-4">WBPSC Miscellaneous Syllabus 2023</h2>

Having grasped the examination pattern, it's crucial to familiarize yourself with the specific subjects that require your attention. This knowledge will help you craft your study strategy accordingly. Therefore, let's now embark on a thorough exploration of the syllabus for the WBPSC Miscellaneous Services Exam 2023.

<h3>Preliminary Examination</h3>

<ul>
	<li>General Studies</li>
	<li>Arithmetic</li>
</ul>

<h3>Final Examination</h3>

<ul>
	<li>Paper I: English</li>
	<li>Paper II: Bengali/ /Hindi/Urdu/Nepali/Santal</li>
	<li>Paper III: General Studies and Arithmetic</li>
</ul>

<h3>Personality Test</h3>

Only a few candidates, chosen based on their merit in the Final Examination, will be qualified for the Personality Test. Moreover, for in-depth information on the subjects, refer to our blog <a href="https://www.thedhronas.com/blog/wbpsc-miscellaneous-services-syllabus-2023-subject-wise-topics-weightage">WBPSC Miscellaneous Syllabus 2023</a>.

<h2 id="content-id-15074-5">WBPSC Miscellaneous Salary</h2>

The primary draws for government examinations have always been future security and competitive salaries, and the WBPSC Miscellaneous truly incorporates these qualities. This comprehensive offering includes not only a generous salary but various allowances. In addition WBPSC Miscellaneous serves as an opportunity to attain some of the most esteemed positions. Thus, the pay scale for successful candidates in the WBPSC Miscellaneous 2023 exam varies depending on the specific position they qualify for.

<ul>
	<li>If you are considering job positions from Sl. Nos. 1 to 11, they are classified under Pay Level 10, entailing a salary range of Rs. 32,100 to Rs. 82,900.</li>
	<li>For job positions numbered 12 through 19, they fall within Pay Level 9, offering a salary range of Rs. 28,900 to Rs. 74,500, adhering to the ROPA, 2019 guidelines.</li>
	<li>Apart from the base salary, these positions provide various allowances that you are entitled to receive.</li>
</ul>

We hope that this blog has provided you with the clarity you sought regarding WBPSC Miscellaneous eligibility criteria 2023. Moreover, keep in mind that It's completely normal to feel a mix of excitement and nervousness, but remember this: you are capable, you are prepared, and you've got this!

The <a href="https://file:///C:/Users/HP/Downloads/WBPSC-Miscellaneous-Services-Recruitment-Notification-2023.pdf">official WBPSC Miscellaneous Notification 2023</a> has been released, and numerous candidates are gearing up for their exam preparation. Therefore, join us as we guide you to your initial destination and explore the WBPSC Miscellaneous Eligibility Criteria&nbsp;2023. Moreover, in this blog post, we&#39;ll not only discuss the WBPSC Miscellaneous Eligibility Criteria 2023 but also delve into essential details such as key aspects of the notification, important exam timelines, and the exam structure.

<h2>WBPSC Miscellaneous Eligibility Criteria 2023</h2>

A fundamental step in preparing for any exam is to ascertain your eligibility, consequently,&nbsp;it&#39;s crucial to comprehend the WBPSC Miscellaneous Eligibility Criteria 2023. We have developed an infographic below to provide you with an overview of the&nbsp;WBPSC Miscellaneous Eligibility Criteria 2023.

<img alt="WBPSC Miscellaneous Eligibility Criteria 2023" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Miscellaneous_Eligibility_Criteria_2023.svg" style="height:304px; width:600px" />

[Source: The Dhronas]

Having gained a concise understanding of the WBPSC Miscellaneous Eligibility Criteria 2023, let&#39;s delve into a detailed discussion of these specific requirements.

<h3>Nationality</h3>

<ul>
	<li>You must possess Indian citizenship, either by birth or by registration.</li>
	<li>Individuals from other nations as declared eligible by the Government of India.</li>
</ul>

To understand it better, you can take help of the snippet attached below for your reference.

<img alt="WBPSC Miscellaneous eligibility criteria 2023 nationality" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Miscellaneous_Eligibility_Criteria_2023_Nationality.svg" style="height:112px; width:500px" />

[Source: wpsc.gov.in]

Furthermore, if you fall into the last category, it is mandatory to possess a certificate of eligibility issued by the Government of India.

<h3>Age Limit</h3>

<ul>
	<li>To be eligible, you should be below 20 years old and not above&nbsp;39 years old as of 01.01.2023. To be specific,&nbsp;your birthdate must fall between January 2, 1984, and January 1, 2003.</li>
	<li>Please take note that the age mentioned on your Madhyamik or equivalent certificate will serve as the valid age for this application. Moreover, this criterion is applicable to all candidates, regardless of whether you are currently employed in government service or not.</li>
</ul>

<h4>Age Relaxation:</h4>

<ul>
	<li>In West Bengal, individuals belonging to the SC or ST category can benefit from a maximum age relaxation of 5 years.</li>
	<li>OBC (Non-Creamy Layer) candidates in West Bengal are eligible for an age relaxation of up to 3 years.</li>
	<li>Persons with benchmark disabilities (PwBD) may have their upper age limit extended to 45 years.</li>
	<li>It&#39;s important to note that no age relaxation is applicable to SC/ST/OBC candidates from other states, as they will be treated as general candidates.</li>
</ul>

<h3>Educational Qualification</h3>

<ul>
	<li>You must hold a degree from a recognised university or its equivalent.</li>
	<li>Candidates are required to be proficient&nbsp;in reading, writing, and speaking in Bengali.&nbsp;However, it&#39;s important to note that this prerequisite is not applicable to individuals whose mother tongue is Nepali, as specified in the Finance Department&#39;s Notification No. 1243-F(P) dated March 2, 2016.</li>
	<li>In case your mother tongue is a language other than Bengali or Nepali,&nbsp;your knowledge of Bengali will be evaluated during the personality test. However, candidates who perform poorly or have average proficiency in the Bengali knowledge test&nbsp;might face the risk of having their candidature revoked.</li>
</ul>

For your reference, we have attached a snippet from the official notification below.

<img alt="WBPSC Miscellaneous eligibility criteria 2023 education" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WBPSC_Miscellaneous_Eligibility_Criteria_2023_Education.svg" style="height:134px; width:500px" />

[Source: wbps.gov.in]

Moreover, remember once you submit your application, there will be no consideration for claims related to SC/ST/O.B.C. status, benchmark disability, or meritorious sportsperson status.&nbsp;Having&nbsp;yourself acquainted with the WBPSC Miscellaneous Eligibility Criteria 2023, are you excited to explore the available job positions and their respective salary packages? If so, we have covered got you covered in the upcoming sections.

<h2>WBPSC Miscellaneous 2023 - An Overview</h2>

The WBPSC Miscellaneous&nbsp;is an annually recurring exam conducted by the West Bengal Public Service Commission. Moreover, the notification for the 2023 exam was released on October 3 via the <a href="https://wbpsc.gov.in/">official WBPSC website</a>. Subsequently, the application form link was&nbsp;made active, allowing candidates to complete it until November 2, 2023. Moreover, information regarding the available job openings will be provided at a later date.&nbsp;For a comprehensive understanding of the official notification, please refer to our blog titled &quot;<a href="https://www.thedhronas.com/blog/wbpsc-miscellaneous-recruitment-notification-2023-pdf-out-now">WBPSC Miscellaneous notification&nbsp;2023</a>.&quot;

<h2>WBPSC Miscellaneous Important Exam Dates&nbsp;2023</h2>

Now that you&#39;ve acquainted yourself with the WBPSC Miscellaneous Eligibility Criteria 2023, let&#39;s proceed to unravel the examination dates.&nbsp;As per the official WBPSC Miscellaneous Recruitment Notification 2023, we have summarized the key dates provided by the authorities in the table below for your convenience and quick reference:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td>
			<div>EVENTS</div>
			</td>
			<td>
			<div>DATES</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Notification release date</div>
			</td>
			<td>
			<div>October 03, 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Submission of online application</div>
			</td>
			<td>
			<div>October 05, 2023</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of online application</div>
			</td>
			<td>
			<div>November 02, 2023 (upto 3:00 P.M.)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees (online)</div>
			</td>
			<td>
			<div>November 02, 2023 (upto 3:00 P.M.)</div>
			</td>
		</tr>
		<tr>
			<td>
			<div>Closing date for submission of fees&nbsp;(offline)</div>
			</td>
			<td>
			<div>November 03, 2023</div>
			</td>
		</tr>
	</tbody>
</table>

Now that you are aware of the WBPSC Miscellaneous important dates, let&#39;s move on to the subsequent step and delve into the exam pattern.

<h2>WBPSC Miscellaneous Exam Pattern 2023</h2>

To excel in the WBPSC Miscellaneous exam, it&#39;s essential to gain a comprehensive understanding of its examination structure. Acquainting yourself with the exam pattern will assist you in devising a strategic plan and addressing the questions effectively. The&nbsp;WBPSC Miscellaneous selection process includes three stages- a Preliminary exam, followed by the Final exam and then, the Personality Test. With that in mind, let&#39;s delve into the WBPSC Miscellaneous exam pattern:

<h3>Preliminary Exam</h3>

<ul>
	<li>The&nbsp;Preliminary exam will feature a total of 100 multiple&nbsp;choice objective type questions.</li>
	<li>Moreover, this exam will encompass two subjects.</li>
	<li>Lastly, this exam will carry a total of 200 marks.</li>
</ul>

<h3>Final Exam</h3>

<ul>
	<li>The Final exam will include conventional type questions.</li>
	<li>Additionally, the Final&nbsp;exam includes a total of three papers- I, II &amp; III.</li>
	<li>Finally, this exam will be worth 450 marks.</li>
</ul>

<h3>Personality Test</h3>

<ul>
	<li>The personality test carries 100 marks.</li>
	<li>Only a select few candidates, chosen based on merit from the final examination, will be called in for the personality test.</li>
	<li>The Final Merit List will be determined by considering the marks you secure in all three papers of the Final Examination and the marks from the Personality Test combined.</li>
</ul>

After gaining a thorough understanding of the WBPSC Miscellaneous eligibility criteria 2023 and exam pattern we are now sensing that you guys&nbsp;must be wondering about the syllabus. If that&#39;s the case, rest assured, we have got you covered in the&nbsp;next segment of the&nbsp;blog!

<h2>WBPSC Miscellaneous Syllabus 2023</h2>

Having grasped the examination pattern, it&#39;s crucial to familiarize yourself with the specific subjects that require your attention. This&nbsp;knowledge will help you craft your study strategy&nbsp;accordingly. Therefore, let&#39;s now embark on a thorough exploration of the syllabus for the WBPSC Miscellaneous Services Exam 2023.

<h3>Preliminary Examination</h3>

<ul>
	<li>General Studies</li>
	<li>Arithmetic</li>
</ul>

<h3>Final Examination</h3>

<ul>
	<li>Paper I: English</li>
	<li>Paper II: Bengali/ /Hindi/Urdu/Nepali/Santal</li>
	<li>Paper III: General Studies and Arithmetic</li>
</ul>

<h3>Personality Test</h3>

Only a few candidates, chosen based on their merit in the Final Examination, will be qualified for the Personality Test.&nbsp;Moreover, for in-depth information on the subjects, refer to&nbsp;our blog&nbsp;<a href="https://www.thedhronas.com/blog/wbpsc-miscellaneous-services-syllabus-2023-subject-wise-topics-weightage">WBPSC Miscellaneous Syllabus&nbsp;2023</a>.

<h2>WBPSC Miscellaneous Salary</h2>

The primary draws for government examinations have always been future security and competitive salaries, and the WBPSC Miscellaneous truly incorporates these qualities. This comprehensive offering includes not only a generous salary but&nbsp;various allowances. In addition WBPSC Miscellaneous serves as an&nbsp;opportunity to attain some of the most esteemed positions. Thus, the pay scale for successful&nbsp;candidates in the WBPSC Miscellaneous 2023 exam varies depending on the specific position they qualify for.

<ul>
	<li>If you are considering job positions from Sl. Nos. 1 to 11,&nbsp;they are classified under Pay Level 10, entailing a salary range of Rs. 32,100 to Rs. 82,900.</li>
	<li>For job positions numbered 12 through 19, they fall within Pay Level 9, offering a salary range of Rs. 28,900 to Rs. 74,500, adhering to the ROPA, 2019 guidelines.</li>
	<li>Apart from the base salary, these positions provide various allowances that you are entitled to receive.</li>
</ul>

We hope that this blog has provided you with the clarity you sought regarding WBPSC&nbsp;Miscellaneous eligibility criteria 2023. Moreover, keep in mind that&nbsp;It&#39;s completely normal to feel a mix of excitement and nervousness, but remember this: you are capable, you are prepared, and you&#39;ve got this!

WBPSC Miscellaneous Eligibility Criteria 2023

WBPSC Miscellaneous Eligibility Criteria 2023 - Age, Education

In your journey to ace the WBP Constable Exam, a solid grasp of mathematical concepts is essential. Among these, averages are a fundamental pillar. Understanding averages not only forms the basis of various mathematical problems but also equips you with a practical tool for real-life situations. From calculating the average score in a sports game to determining the mean income in a group, averages are omnipresent.

This introductory guide will unravel the basics of averages, simplifying complex problems, and offering insights to tackle them effectively during your exam. So, let's embark on a journey to master this mathematical concept, which will not only boost your exam performance but also enhance your quantitative skills in various scenarios. Whether you are new to averages or need a refresher, this guide is your key to success.

So, let's start learning this topic with the definition of Average.

<h2 id="content-id-18936-0">Average</h2>

An average or arithmetic mean of given data is the sum of the given observations divided by the number of observations.

It means,

Average (A) = [Sum of given observation(S)] / [Number of observation(N)]

The average is also called the mean.

Let's take an example to understand this better.

E.g. Find the average of 10, 15, 20, 25, and 30.

Sol: Step 1: First calculate the sum of all the quantities (S)

⇒ 10 + 15 + 20 + 25 + 30 = 100

Step 2: Now count the number of quantities (N)

That is five in this case

Step 3: According to formula divide the sum by number of quantities

A = S / N

A = 100 / 5 = 20

So we got 20 as the average of all the five quantities. (Ans.)

Let’s first deal with some properties of averages to get some clarity of thought on averages.

<h2 id="content-id-18936-1">Properties of Averages</h2>

The some properties of Averages are:

<ul>
	<li>The average of a given data is less than the greatest observation and greater than the smallest observation of the given data. We saw in our last example that the average (20) is between 10 and 30.</li>
	<li>If all the numbers get increased by “a”, then their average must be increased by “a”.</li>
	<li>Similarly, If all the numbers get decreased by “a”, then their average must be decreased by “a”.</li>
	<li>If all the numbers are multiplied by “a”, then their average must be multiplied by “a”.</li>
	<li>Similarly, If all the numbers are divided by “a”, then their average must be divided by “a”.</li>
</ul>

Let's take a look at these examples.

E.g. The weight of A is 60 kg, Weight of B is 45 kg, and the average weight of A, B, and C is 53 kg, find the weight of C.

Sol: Let the weight of C be “x”

Step 1: the sum of all the weights is

⇒ 60 + 45 + x

Step 2: the number of quantities is 3

and as given the average of them is 53

Step 3: so by the formula of averages

⇒ 53 = (60 + 45 + x) / 3

⇒ 53 × 3 = 60 + 45 + x

⇒ 159 = 105 + x

⇒ x = 159 - 105

⇒ x = 54 kg (Ans.)

E.g. A, B, C, D, and E are the five electronic shops in the Naza market. Which have 20, 30, 60, 80 and 50 T.V. sets with them respectively if each of them has imported 12 new T.V. sets then the average of T.V. set is _______.

Sol: First, find out the average without considering the imports of T.V.

According to formula

⇒ A = S / N

⇒ A = (20 + 30 + 60 + 80 + 50) / 5

⇒ A = 240 / 5

⇒ A = 48

As we learned in the properties of the average new average would be = 48 + 12 = 60 (Ans.)

E.g. The average of four numbers is 80. The first number is 1/3 of the sum of three numbers. What would be the first number?

Sol: By rearranging the formula of averages we found that

Sum of all the observations = Average × number of observations

⇒ S = A × N

So according to formula

⇒ S = 80 × 4 = 320

Now let the sum of three numbers excluding the first number be “g”

So, sum of all the four numbers = g + g/3

⇒ g + g/3 = 320

⇒ 4g/3 = 320

⇒ g = 320 × 3/4 = 240

So, the first number would be “g/3" = 240/3 = 80 (Ans.)

Now, let's move on to our next topic i.e. Weighted Average.

<h2 id="content-id-18936-2">Weighted Average</h2>

When the average of groups or sets, instead of individuals, having different numbers of elements is being calculated then it is calculated then it is called weighted average.

Weighted Average = (M1V1 + M2V2)/(M1 + M2)

M1 and M2: These represent the weights assigned to the respective data points. Weights indicate the relative importance or significance of each data point in calculating the weighted average.

V1 and V2: These represent the values or observations of the corresponding data points. These are the actual numerical values that are being averaged, taking into account the assigned weights.

Let's look at some examples to understand this concept.

E.g. The average weight of 17 girls is 20 kg and the average weight of 23 boys is 22 kg. Find the average weight of the class.

Sol: So, there are two groups of people boys and girls that’s why we will use weighted average concept. Here, M1  = 17, V1 = 20, M2 = 23 and V2 = 22.

By putting the values in the formula

⇒ A = (17 × 20 + 22 × 23) / (17 + 23)

⇒ A = (340 + 506) / 40 = 846 / 40 = 21.15 kg (Ans.)

<img alt="Weighted Average" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Weighted Average.webp" style="height:200px; width:400px">

E.g. In Plutarch enterprise, 70% of the employees are marketers, 20% are engineers, and the rest are the managers. Marketers make an average salary of Rs. 50,000 a year and engineers make an average of Rs. 80,000. What is the average salary of managers if the average for all employees is also Rs. 80,000?

Sol: Let the average salary of managers be "x".

Multiply each group average by the percent expressed as a decimal:

Marketers = 0.70 × 50,000 = 35,000

Engineers = 0.20 × 80,000 = 16,000

Managers = 0.10 × x = 0.1x

This should add up to the average for all employees

⇒ 35,000 + 16,000 + 0.1x = 80,000

⇒ 0.1x = 80,000 - 51,000

⇒ 0.1x = 29,000

⇒ x = 290,000 rs. (Ans.)

Let us look at few examples and if you are now confident about this section, just try these questions by yourself before looking at my solution.Some of these questions were asked in the WBP Constable Exam. So, please take this section very seriously.

<h2 id="content-id-18936-3">Examples on Averages for Better Understanding</h2>

E.g. A total of 9 students took a test and their average score was 86. If the average score of 4 students was 81, what was the average score for the remaining 5 students? [WBP Constable Exam 2015]

Sol: Average = Sum of score/Total students

9 students took a test and their average score was 86.

Sum of score of 9 students = 86 × 9 = 774 ...(1)

The average score of 4 students was 81.

Sum of score of 4 students = 81 × 4 = 324 ...(2)

From (1) and (2) we get

Sum of score of 5 students = 774 - 324 = 450.

Average score of remaining 5 students = 450/5 = 90 (Ans.)

E.g. The Average of the first 15 odd numbers is: [WBP Constable Exam 2013]

Sol: 15 first odd numbers = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

Their sum = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 = 225

Average of 15 first odd numbers = 225/15 = 15 (Ans.)

E.g. The average age of 30 girls is 13 years. Of them average of 18 girls is 15 years. What is the average of the rest 12 girls? [WBP Constable Exam 2013]

Sol: Average age of 30 girls = 13 years

Average = (sum of girls age) / (number of girls)

Sum of 30 girls age = 390 

Average age of 18 girls = 15 years

Sum of 18 girls age = 270

Sum of rest 12 girls age = 390 - 270 = 120

Average of rest 12 girls age = 120/12 = 10 years (Ans.)

Mastering the basics of averages is an essential step in your WBP Constable Exam preparation. Averages are a foundational mathematical concept that transcends exams and finds applications in everyday life. Through this guide, you've gained valuable insights into how to calculate and interpret averages.

This knowledge is not only integral to acing your quantitative aptitude test but also equips you with practical skills for various real-life scenarios. As you move forward in your exam preparation, remember that a strong understanding of averages will not only boost your scores but also enhance your problem-solving capabilities. So, embrace this foundational skill and excel in both your exams and daily life.

So, this is all for today. In our next blog, we will discuss the <a href="https://www.thedhronas.com/blog/learn-the-concept-of-change-in-averages-for-wbp-constable-exam" target="_blank">Change in Averages</a>. Till then, stay tuned! If you like this blog, do check out our latest blog on <a href="https://www.thedhronas.com/blog/theory-and-questions-on-percentage-for-wbp-constable-exam" target="_blank">Percentages</a>.

Learn and Practice the basics of Averages.

Learn the Basics of Averages for WBP Constable Exam

In this era, most young aspirants are seeking stability by aiming to clear various government examinations. Are you also someone with the same aspirations? So, here comes a golden opportunity for you. The West Bengal Police Recruitment Board announced the <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_notification_2023.pdf">WB Police Constable Notification 2023 </a>anytime now. For a better and clearer understanding, you can read our blogs at The Dhronas. Moreover, in this blog, we will primarily cater to the WB Police Constable Eligibility Criteria 2023. We will cover the essential information you need to know. Thus, this blog will clear all your doubts about the eligibility of every candidate appearing for this exam.

<h2 id="content-id-18952-0">WB Police Constable Eligibility Criteria 2023</h2>

As a candidate, the WB Police Constable Eligibility Criteria 2023 plays a very crucial role for you. Let's discuss the important points related to the WB Police Constable Eligibility Criteria 2023 that you should keep in mind before filling out the application form for the WB Police Constable Exam 2023.

<img alt="WB Police Constable Eligibility Criteria 2023 Nationality Age Education " src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Eligibility_Criteria_2023_Age_Education.svg" style="height:304px; width:600px">

[Source: The Dhronas]

Nationality

<ul>
	<li>The candidates must be citizens of India and possess valid documents issued by the government.</li>
	<li>Candidates who are not Indian citizens and want to or are permanently settled in India should be able to provide valid documents issued by the government of India validating the same.</li>
</ul>

Age Limit

As per the WB Police Constable Eligibility Criteria 2023, the age of the candidates must be within the following limit:

<ul>
	<li>Minimum age: 18 years</li>
	<li>Upper age limit for WB Police Lady Constable: 30 years</li>
	<li>Upper age limit for WB Police Constable Male: 27 years of age</li>
</ul>

The age relaxation is as follows:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="vertical-align:top">
			<div style="text-align:center">Category</div>
			</td>
			<td style="vertical-align:top">
			<div style="text-align:center">Upper Age Limit Extension</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:top">
			<div>SC/ST of West Bengal</div>
			</td>
			<td style="vertical-align:top">
			<div style="text-align:center">5 years</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:top">
			<div>OBC of West Bengal</div>
			</td>
			<td style="vertical-align:top">
			<div style="text-align:center">3 yrs</div>
			</td>
		</tr>
	</tbody>
</table>

Educational Qualification

The duties of a WB Police Constable involve preparing, maintaining, and updating records and registers regularly. Therefore, the candidates must possess certain minimum qualifications to perform their duties properly. The candidate must possess the following qualifications to be eligible for selection as a Police Constable with the WB Police Department:

<ul>
	<li>The candidates must have completed their Madhyamik Examination from the WB Board of Secondary Education or any other recognized school education board of India.</li>
	<li>The candidates should also be able to read, write, and speak the Bengali language properly.</li>
	<li>They should also have good reasoning ability and general knowledge, as the same will be tested during the interview round.</li>
</ul>

Physical Standards

Apart from all the other WB Police Constable Eligibility Criteria 2023, the candidates must possess certain physical traits to be eligible for the vacancies. The physical standards vary according to the category of the candidates. The aspiring candidates are advised to prepare for the PMT and PET beforehand and stay fit and fine.

Now that we are clear on the WB Police Constable Eligibility Criteria 2023, how about we give you a brief overview of this year's notification?

<h2 id="content-id-18952-1">WB Police Constable Notification 2023 - An Overview</h2>

The <a href="https://www.thedhronas.com/blog/wb-police-constable-notification-2023-recruitment-for-12000-govt-jobs#content-id-1673-2">WB Police Constable Notification 2023</a> was released on February 27, 2023, on their <a href="https://wbpolice.gov.in/">official website.</a> It provides important information about the upcoming WB Police Constable exam. The<a href="https://wbpolice.gov.in/wbp/common/WBP_RecruitmentNew.aspx"> West Bengal Police Recruitment Board</a> is scheduled to conduct the exam, and it's crucial for aspiring candidates like you to acquaint yourselves with the contents of this notification. Moreover, all the information regarding the exam pattern, syllabus, important dates, etc. is contained in the notification.

Since you have a brief understanding, let’s take a look at the next segment.

<h2 id="content-id-18952-2">WB Police Constable 2023 Important Exam Dates</h2>

According to the official WB Police Constable Notification 2023, we have presented the key dates provided by the authorities in the table below for your convenience and reference:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="vertical-align:middle">
			<div style="text-align:center">Events</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">Dates</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:middle">
			<div>WB Police Constable 2023 Application Start</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">February 27,2023</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:middle">
			<div>WB Police Constable 2023 Last Date to Apply</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">March 18, 2023</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:middle">
			<div>Last date for corrections </div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">March 21, 2023</div>
			</td>
		</tr>
	</tbody>
</table>

Now that you're aware about the WB Police Constable Eligibility Criteria 2023 and it's important dates, let's move forward. So, stay tuned! Further, let's dive into the next segment of our blog.

<h2 id="content-id-18952-3">WB Police Constable 2023 Exam Pattern</h2>

Examining the WB Police Constable format is similar to having a customized road map. It's crucial since it gives you advice on how to prepare, helps you prepare effectively, and gives you more confidence on test day. So let's simplify and customize the WB Police Constable exam pattern, particularly for you.

In your WB Police Constable Exam journey, you'll encounter four key stages:

<ol>
	<li>The Preliminary Exam</li>
	<li>PMT and PET</li>
	<li>The Final Written Exam</li>
	<li>The Interview</li>
</ol>

Let us now decode each of these stages for you separately in bullet points.

<h3>Preliminary Written Test</h3>

<ul>
	<li>The test consists of 100 multiple-choice questions of 1 mark each.</li>
	<li>Be cautious, as there's a deduction of 1/4 of the assigned mark, i.e., 0.25 mark for each wrong answer.</li>
	<li>The test is available in Bengali and Nepali languages.</li>
	<li>You'll have a total of 1 hour, i.e., 60 minutes, to complete the test.</li>
</ul>

<h3>PMT/PET</h3>

To qualify for the PMT and be eligible for the PET, you need to meet specific physical standards. You'll be required to run a distance of 1600 meters in less than 6 minutes and 30 seconds. If you successfully meet these standards, you'll move on to the final written exam as one of the shortlisted candidates.

<h3>Final Written Exam</h3>

Following the PMT or PET, you will need to appear for the final written exam. The final written exam consists of 85 multiple-choice, objective-type questions.

<ul>
	<li>Each question carries 1 mark, but do be cautious as there's a penalty of 1/4 of the assigned mark, i.e., 0.25 mark for every incorrect answer.</li>
	<li>There's no negative marking for questions you choose not to attempt.</li>
</ul>

<h3>Interview</h3>

In the final selection stage, you will undergo a personal interview where they will assess your personality traits and determine your suitability for the job. They will also verify your roll number and other necessary documents during this phase. If you're among the shortlisted candidates and pass the medical test, you'll be appointed as a police constable with the West Bengal Police Department. This interview holds a weight of 15 marks.

Further, you must've realized that, along with the WB Police Constable Eligibility Criteria 2023, it's important to analyze its exam pattern. So, let's now hop and explore the WB Police Constable Syllabus 2023.

<h2 id="content-id-18952-4">WB Police Constable Syllabus 2023</h2>

Now that you have a clear understanding of the exam pattern, it's crucial to delve into the syllabus details, as it will help you prepare strategically. Here are the subjects that the WB Police Constable examination covers:

<ul>
	<li>General Awareness</li>
	<li>General Knowledge</li>
	<li>Reasoning</li>
	<li>Elementary Mathematics</li>
	<li>English Language</li>
</ul>

For more information, you can refer to our blog, WB Police Constable Syllabus 2023.

The difficult part is over, all you need to do now is watch <a href="https://www.thedhronas.com/blog">TheDhronas</a> for more WB Police Constable related news and fascinating information about the Indian Forces. We trust that all of your questions about the WB Police Constable Eligibility Criteria 2023 have been answered. If you have any, though, we're confident the FAQs will provide the answers you need.

In this era, most young aspirants are seeking stability by aiming to clear various government examinations. Are you also someone with the same aspirations? So, here comes a golden opportunity for you. The West Bengal Police Recruitment Board announced the <a href="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_notification_2023.pdf">WB Police Constable Notification 2023 </a>anytime now. For a better and clearer understanding, you can read our blogs at The Dhronas. Moreover, in this blog, we will primarily cater to the WB Police Constable Eligibility Criteria 2023. We will cover the essential information you need to know. Thus, this blog will clear all your doubts about the eligibility of every candidate appearing for this exam.

<h2>WB Police Constable&nbsp;Eligibility Criteria 2023</h2>

As a candidate, the WB Police Constable Eligibility Criteria 2023 plays a very crucial role for you. Let&#39;s discuss the important points related to the WB Police Constable Eligibility Criteria 2023 that you should keep in mind before filling out the application form for the WB Police Constable Exam 2023.

<img alt="WB Police Constable Eligibility Criteria 2023 Nationality Age Education " src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/WB_Police_Constable_Eligibility_Criteria_2023_Age_Education.svg" style="height:304px; width:600px" />

[Source: The Dhronas]

Nationality

<ul>
	<li>The candidates must be citizens of India and possess valid documents issued by the government.</li>
	<li>Candidates who are not Indian citizens and want to or are permanently settled in India should be able to provide valid documents issued by the government of India validating the same.</li>
</ul>

Age Limit

As per the WB Police Constable Eligibility Criteria 2023,&nbsp;the age of the candidates must be within the following limit:

<ul>
	<li>Minimum age: 18 years</li>
	<li>Upper age limit for WB Police Lady Constable: 30 years</li>
	<li>Upper age limit for WB Police Constable Male: 27 years of age</li>
</ul>

The age relaxation&nbsp;is as follows:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="vertical-align:top">
			<div style="text-align:center">Category</div>
			</td>
			<td style="vertical-align:top">
			<div style="text-align:center">Upper Age Limit Extension</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:top">
			<div>SC/ST of West Bengal</div>
			</td>
			<td style="vertical-align:top">
			<div style="text-align:center">5 years</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:top">
			<div>OBC of West Bengal</div>
			</td>
			<td style="vertical-align:top">
			<div style="text-align:center">3 yrs</div>
			</td>
		</tr>
	</tbody>
</table>

Educational Qualification

The duties of a WB Police Constable involve preparing, maintaining, and updating records and registers regularly. Therefore, the candidates must possess certain minimum qualifications to perform their duties properly. The candidate must possess the following qualifications to be eligible for selection as a Police Constable with the WB Police Department:

<ul>
	<li>The candidates must have completed their Madhyamik Examination from the WB Board of Secondary Education or any other recognized school education board of India.</li>
	<li>The candidates should also be able to read, write, and speak the Bengali language properly.</li>
	<li>They should also have good reasoning ability and general knowledge, as the same will be tested during the interview round.</li>
</ul>

Physical Standards

Apart from all the other WB Police Constable Eligibility Criteria 2023, the candidates must possess certain physical traits to be eligible for the vacancies. The physical standards vary according to the category of the candidates. The aspiring candidates are advised to prepare for the PMT and PET beforehand and stay fit and fine.

Now that we are clear on the WB Police Constable Eligibility Criteria 2023, how about we give you a brief overview of this year&#39;s notification?

<h2>WB Police Constable Notification 2023 - An Overview</h2>

The <a href="https://www.thedhronas.com/blog/wb-police-constable-notification-2023-recruitment-for-12000-govt-jobs#content-id-1673-2">WB Police Constable Notification 2023</a> was released on February 27, 2023, on their <a href="https://wbpolice.gov.in/">official website.</a> It provides important information about the upcoming WB Police Constable exam. The<a href="https://wbpolice.gov.in/wbp/common/WBP_RecruitmentNew.aspx"> West Bengal Police Recruitment Board</a> is scheduled to conduct the exam, and it&#39;s crucial for aspiring candidates like you to acquaint yourselves with the contents of this notification. Moreover, all the information regarding the exam pattern, syllabus, important dates, etc. is contained in the notification.

Since you have a brief understanding, let&rsquo;s take a look at the next segment.

<h2>WB Police Constable 2023 Important&nbsp;Exam Dates</h2>

According to the official WB Police Constable Notification 2023, we have presented the key dates provided by the authorities in the table below for your convenience and reference:

<table border="1" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td style="vertical-align:middle">
			<div style="text-align:center">Events</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">Dates</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:middle">
			<div>WB Police Constable 2023 Application Start</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">February 27,2023</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:middle">
			<div>WB Police Constable 2023 Last Date to Apply</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">March 18, 2023</div>
			</td>
		</tr>
		<tr>
			<td style="vertical-align:middle">
			<div>Last date for corrections&nbsp;</div>
			</td>
			<td style="vertical-align:middle">
			<div style="text-align:center">March 21, 2023</div>
			</td>
		</tr>
	</tbody>
</table>

Now that you&#39;re aware about the WB Police Constable Eligibility Criteria 2023 and it&#39;s important dates, let&#39;s move forward.&nbsp;So, stay tuned! Further, let&#39;s dive into the next segment of our blog.

<h2>WB Police Constable 2023 Exam Pattern</h2>

Examining the WB Police Constable format is similar to having a customized road map. It&#39;s crucial since it gives you advice on how to prepare, helps you prepare effectively, and gives you more confidence on test day. So let&#39;s simplify and customize the WB Police Constable exam pattern,&nbsp;particularly for you.

In your WB Police Constable Exam journey, you&#39;ll encounter four key stages:

<ol>
	<li>The Preliminary Exam</li>
	<li>PMT and PET</li>
	<li>The Final Written Exam</li>
	<li>The Interview</li>
</ol>

Let us now decode each of these stages for you separately in bullet points.

<h3>Preliminary Written Test</h3>

<ul>
	<li>The test consists of 100 multiple-choice questions of 1 mark each.</li>
	<li>Be cautious, as there&#39;s a deduction of 1/4 of the assigned mark, i.e., 0.25 mark for each wrong answer.</li>
	<li>The test is available in Bengali and Nepali languages.</li>
	<li>You&#39;ll have a total of 1 hour, i.e., 60 minutes, to complete the test.</li>
</ul>

<h3>PMT/PET</h3>

To qualify for the PMT and be eligible for the PET, you need to meet specific physical standards. You&#39;ll be required to run a distance of 1600 meters in less than 6 minutes and 30 seconds. If you successfully meet these standards, you&#39;ll move on to the final written exam as one of the shortlisted candidates.

<h3>Final Written Exam</h3>

Following the PMT or PET, you will need to appear for the final written exam. The final written exam consists of 85 multiple-choice, objective-type questions.

<ul>
	<li>Each question carries 1 mark, but do be cautious as there&#39;s a penalty of 1/4 of the assigned mark, i.e., 0.25 mark for every incorrect answer.</li>
	<li>There&#39;s no negative marking for questions you choose not to attempt.</li>
</ul>

<h3>Interview</h3>

In the final selection stage, you will undergo a personal interview where they will assess your personality traits and determine your suitability for the job. They will also verify your roll number&nbsp;and other necessary documents during this phase. If you&#39;re among the shortlisted candidates and pass the medical test, you&#39;ll be appointed as a police constable with the West Bengal Police Department. This interview holds a weight of 15 marks.

Further, you must&#39;ve realized that, along with the WB Police Constable Eligibility Criteria 2023, it&#39;s important to analyze its exam pattern. So, let&#39;s now hop and explore the WB Police Constable Syllabus 2023.

<h2>WB Police Constable Syllabus 2023</h2>

Now that you have a clear understanding of the exam pattern, it&#39;s crucial to delve into the syllabus details, as it will help you prepare strategically. Here are the subjects that the WB Police Constable examination covers:

<ul>
	<li>General Awareness</li>
	<li>General Knowledge</li>
	<li>Reasoning</li>
	<li>Elementary Mathematics</li>
	<li>English Language</li>
</ul>

For more information, you can refer to our blog, WB Police Constable Syllabus 2023.

The difficult part is over, all you need to do now is watch <a href="https://www.thedhronas.com/blog">TheDhronas</a>&nbsp;for more WB Police Constable related news and fascinating information about the Indian Forces. We trust that all of your questions about the WB Police Constable Eligibility Criteria 2023 have been answered. If you have any, though, we&#39;re confident the FAQs will provide the answers you need.

WB Police Constable Eligibility Criteria 2023