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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

For which of the following cities the percentage of candidate passed among those who appeared for the examination is minimum in the year 2019 ?

The correct answer is

L

Analysing Civil Services Exam Pass Percentage in 2019

The question asks us to determine which city among K, L, M, and N had the minimum percentage of candidates who passed the Civil Services Examination compared to those who appeared in the year 2019. To answer this, we need to extract the relevant data for the year 2019 from the provided table and calculate the pass percentage for each city.

Extracting Data for Year 2019

Let's look at the data provided in the table for the year 2019 for each city:

City Appeared (A) Passed (P)
K 850 496
L 600 315
M 740 464
N 1165 780

Calculating Pass Percentage for Each City in 2019

The pass percentage for a city is calculated using the formula:

$$\text{Pass Percentage} = \left( \frac{\text{Number of Candidates Passed}}{\text{Number of Candidates Appeared}} \right) \times 100$$

Let's calculate the pass percentage for each city for the year 2019:

City K Pass Percentage (2019)

For City K, Appeared = 850, Passed = 496.

$$\text{Pass Percentage (K)} = \left( \frac{496}{850} \right) \times 100$$ $$\text{Pass Percentage (K)} \approx 0.5835 \times 100 \approx 58.35\%$$

City L Pass Percentage (2019)

For City L, Appeared = 600, Passed = 315.

$$\text{Pass Percentage (L)} = \left( \frac{315}{600} \right) \times 100$$ $$\text{Pass Percentage (L)} = 0.525 \times 100 = 52.5\%$$

City M Pass Percentage (2019)

For City M, Appeared = 740, Passed = 464.

$$\text{Pass Percentage (M)} = \left( \frac{464}{740} \right) \times 100$$ $$\text{Pass Percentage (M)} \approx 0.6270 \times 100 \approx 62.70\%$$

City N Pass Percentage (2019)

For City N, Appeared = 1165, Passed = 780.

$$\text{Pass Percentage (N)} = \left( \frac{780}{1165} \right) \times 100$$ $$\text{Pass Percentage (N)} \approx 0.6695 \times 100 \approx 66.95\%$$

Comparing Pass Percentages in 2019

Now, let's list the calculated pass percentages for each city in 2019:

  • City K: Approximately 58.35%
  • City L: 52.5%
  • City M: Approximately 62.70%
  • City N: Approximately 66.95%

Comparing these values, we can see the percentages are: 58.35% (K), 52.5% (L), 62.70% (M), 66.95% (N).

The minimum percentage among these is 52.5%, which corresponds to City L.

Therefore, the percentage of candidates passed among those who appeared for the examination is minimum in the year 2019 for City L.

Revision Table: 2019 Pass Percentage Comparison

City Pass Percentage (2019)
K $\approx 58.35\%$
L $52.5\%$
M $\approx 62.70\%$
N $\approx 66.95\%$

This table clearly shows that City L has the lowest pass percentage in 2019.

Additional Information: Understanding Percentages in Data Analysis

Percentages are frequently used in data analysis to compare proportions across different groups or categories. A percentage expresses a quantity as a fraction of 100. In this context, calculating the pass percentage helps us understand the success rate of candidates in each city relative to the number who attempted the exam, providing a standardized measure for comparison. A lower pass percentage indicates that a smaller proportion of appeared candidates successfully passed the exam in that particular city and year.

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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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