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Question

Study the given table carefully and answer the questions that follow.

Number (N) of candidates (in lakhs) appearing for a University Entrance examination from four different states (A, B, C, D) and the percentage (P) of candidates clearing the same over the years are provided in the table below

StateABCD
YearNP(%)NP(%)NP(%)NP(%)
20162.31321.64422.60463.329
20172.02441.72412.45363.132
20181.98392.02372.20332.931
20191.85282.10432.50422.734
20202.20331.90462.55303.035

In which year did the highest number of candidates clear the entrance exam from State B?

The correct answer is

2019

Analysis of Cleared Candidates from State B Over Years

To find the year in which the highest number of candidates cleared the entrance exam from State B, we need to calculate the actual number of candidates who cleared the exam for State B in each given year. The table provides the total number of candidates appearing (N) and the percentage of candidates clearing (P%) for each state and year.

For State B, the number of candidates clearing the exam in a specific year is calculated as:

Number of Cleared Candidates = (Number of Candidates Appearing) $\times$ (Percentage of Candidates Clearing / 100)

Let's calculate the number of cleared candidates for State B for each year from 2016 to 2020:

  • Year 2016: Number appearing (N) = 1.64 lakhs, Percentage clearing (P) = 44%. Cleared candidates = $1.64 \text{ lakhs} \times \frac{44}{100} = 1.64 \times 0.44 \text{ lakhs} = 0.7216 \text{ lakhs}$
  • Year 2017: Number appearing (N) = 1.72 lakhs, Percentage clearing (P) = 41%. Cleared candidates = $1.72 \text{ lakhs} \times \frac{41}{100} = 1.72 \times 0.41 \text{ lakhs} = 0.7052 \text{ lakhs}$
  • Year 2018: Number appearing (N) = 2.02 lakhs, Percentage clearing (P) = 37%. Cleared candidates = $2.02 \text{ lakhs} \times \frac{37}{100} = 2.02 \times 0.37 \text{ lakhs} = 0.7474 \text{ lakhs}$
  • Year 2019: Number appearing (N) = 2.10 lakhs, Percentage clearing (P) = 43%. Cleared candidates = $2.10 \text{ lakhs} \times \frac{43}{100} = 2.10 \times 0.43 \text{ lakhs} = 0.9030 \text{ lakhs}$
  • Year 2020: Number appearing (N) = 1.90 lakhs, Percentage clearing (P) = 46%. Cleared candidates = $1.90 \text{ lakhs} \times \frac{46}{100} = 1.90 \times 0.46 \text{ lakhs} = 0.8740 \text{ lakhs}$

Now, let's compare the number of cleared candidates from State B for each year:

  • 2016: 0.7216 lakhs
  • 2017: 0.7052 lakhs
  • 2018: 0.7474 lakhs
  • 2019: 0.9030 lakhs
  • 2020: 0.8740 lakhs

Comparing these values, the highest number of candidates clearing the entrance exam from State B is 0.9030 lakhs, which occurred in the year 2019.

Year Appearing (N) (Lakhs) Clearing (P%) Cleared Candidates (Lakhs)
2016 1.64 44 0.7216
2017 1.72 41 0.7052
2018 2.02 37 0.7474
2019 2.10 43 0.9030
2020 1.90 46 0.8740

Revision Table: State B Exam Performance

Here is a summary of the calculated cleared candidates for State B:

Year Cleared Candidates (Lakhs)
2016 0.7216
2017 0.7052
2018 0.7474
2019 0.9030
2020 0.8740

The maximum value in the "Cleared Candidates (Lakhs)" column is 0.9030, which corresponds to the year 2019.

Additional Information: Understanding Data Interpretation Tables

Data interpretation questions often require extracting information from tables, charts, or graphs and performing calculations or comparisons based on that data. When working with percentage values derived from a total number, it's important to correctly calculate the absolute value (number of candidates, in this case) using the formula:

Value = Total Amount $\times$ (Percentage / 100)

Pay close attention to the units used in the table (e.g., lakhs) and ensure consistent calculations. Organizing the data and results in a table, as shown in the revision section, can help in easily comparing values and identifying the maximum or minimum.

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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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