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Question

The table below embodies data on the number of candidates who appeared (A) and passed (P) in Civil Services Examination from four cities K, L, M and N during the year 2014 to 2019. In accordance with the table, answer the question

Year-wise Number of Candidates from Different Cities

City →

K

L

M

N

Year ↓  

A

P

A

P

A

P

A

P

2014

782

360

612

310

720

410

1020

802

2015

804

472

608

324

728

480

1135

840

2016

720

448

636

298

680

390

1084

864

2017

750

360

655

305

695

396

1096

766

2018

824

504

640

346

712

424

1180

752

2019

850

496

600

315

740

464

1165

780

The total number of candidates who passed from City M in all the six years together is what percentage (%) of the total candidates who appeared from City M in all the six years together?

The correct answer is 60%

Civil Services Examination Data Analysis

Calculating Percentage Passed from City M (2014-2019)

The question asks to find the percentage of the total number of candidates who passed from City M in all six years (2014 to 2019) compared to the total number of candidates who appeared from City M during the same period.

Step 1: Calculate Total Candidates Appeared from City M

First, we sum the number of candidates who appeared (A) from City M for each year from 2014 to 2019, as given in the table:

  • 2014: 720
  • 2015: 832
  • 2016: 680
  • 2017: 695
  • 2018: 712
  • 2019: 740

Total Appeared from City M = $$720 + 832 + 680 + 695 + 712 + 740$$

Total Appeared from City M = $$4379$$

Step 2: Calculate Total Candidates Passed from City M

Next, we sum the number of candidates who passed (P) from City M for each year from 2014 to 2019:

  • 2014: 410
  • 2015: 472
  • 2016: 390
  • 2017: 396
  • 2018: 424
  • 2019: 464

Total Passed from City M = $$410 + 472 + 390 + 396 + 424 + 464$$

Total Passed from City M = $$2556$$

Step 3: Calculate the Percentage

To find the percentage of candidates who passed from City M, we use the formula:

$$\text{Percentage Passed} = \left( \frac{\text{Total Passed from City M}}{\text{Total Appeared from City M}} \right) \times 100$$

Substituting the calculated totals:

$$\text{Percentage Passed} = \left( \frac{2556}{4379} \right) \times 100$$

$$\text{Percentage Passed} \approx 0.5836 \times 100$$

$$\text{Percentage Passed} \approx 58.36\%$$

Based on the provided data, the total number of candidates who passed from City M in all six years is approximately 58.36% of the total candidates who appeared from City M in all six years.

Revision Table: Civil Services Exam Data Summary

City M Appeared (A) Passed (P)
2014 720 410
2015 832 472
2016 680 390
2017 695 396
2018 712 424
2019 740 464
Total 4379 2556

Additional Information: Understanding Percentages in Data Analysis

Percentages are a fundamental concept in data interpretation, used to express a part of a whole in terms of 100. In this problem related to the Civil Services Examination data, calculating the pass percentage helps evaluate the success rate of candidates from a specific city over a period of time. The formula used is always (Part / Whole) × 100.

Here, the 'Part' is the aggregate number of candidates who successfully passed the exam from City M across all years, and the 'Whole' is the aggregate number of candidates who appeared for the exam from City M across the same years. Accurate identification of these values from the provided table is the first step towards solving such problems.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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