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Data interpretation: tables, bar and pie charts MCQ - Practice Questions with Answers

Solve 10 Data interpretation: tables, bar and pie charts questions for RAS/RPSC preparation.

Practice questions

Q1A bar chart shows that a centre admitted 800 candidates in 2024 and 1,000 candidates in 2025. According to the data-interpretation rule for percentage change, what is the percentage increase from 2024 to 2025?

A 20%
B 25%
C 10%
D 12.5%
Explanation

Percentage change must use the earlier or stated base. Here the increase is 1,000 minus 800, which is 200. The base is the 2024 value, 800. Therefore the percentage increase is 200 divided by 800 multiplied by 100, giving 25%. The common error is to divide 200 by 1,000 and get 20%, but that measures the increase against the final value, not the original value.

Q2Assertion (A): In a combined DI set, a 30% share of 10,000 should not be directly compared with a 25% share of 15,000 by percentage alone. Reason (R): Percentages from different bases must first be converted into actual values before comparison. Choose the correct answer.

A Both Assertion and Reason are true, and Reason correctly explains Assertion
B Both Assertion and Reason are true, but Reason does not explain Assertion
C Assertion is true, but Reason is false
D Assertion is false, but Reason is true
Explanation

On combined DI sets, one must not mix percentages from different bases. A 30% share of 10,000 equals 3,000, while a 25% share of 15,000 equals 3,750. The smaller percentage can have the larger actual value when its total is larger. This is why percentages from different wholes must be converted to the same unit before comparison.

Q3Which statement about approximation in data interpretation is incorrect?

A Approximation can be useful when the answer options are far apart.
B Close options such as 24%, 25%, 26% and 28% may require exact calculation.
C Common zeros and factors should be cancelled before division in large-number tables.
D Approximation is equally safe even when all answer options are very close.
Explanation

The approximation notes make a clear distinction between far-apart and close options. If options are well separated, a sensible estimate can save time. But when options are close, such as 24%, 25%, 26% and 28%, approximation may be unsafe and exact arithmetic is preferred. Cancelling common zeros and factors is also advised for large numbers, so the statement that approximation is equally safe with very close options is the incorrect one.

Q4Statement 1: In a pie chart, a sector angle of 72° represents 20% of the whole. Statement 2: The sector percentage is found by dividing the sector angle by 360 and multiplying by 100. Which of the following is correct?

A Only Statement 1 is correct
B Only Statement 2 is correct
C Both statements are correct
D Neither statement is correct
Explanation

The pie-chart notes say that the whole circle is 360° or 100%. They also give the conversion rule: sector percentage equals sector angle divided by 360 and multiplied by 100. Applying it to 72° gives 72 ÷ 360 × 100 = 20%. Therefore the value 72° as 20% and the stated conversion formula are both consistent.

Q5Statement 1: In a table, selected candidates as a percentage of appeared candidates uses appeared candidates as the denominator. Statement 2: In a table, female selected candidates as a percentage of total selected candidates uses female selected candidates as the denominator. Which statement is correct?

A Only Statement 1
B Only Statement 2
C Both Statement 1 and Statement 2
D Neither Statement 1 nor Statement 2
Explanation

There is a precise table rule: the denominator is decided by the phrase after 'of', 'out of' or 'as a percentage of'. Selected candidates as a percentage of appeared candidates therefore uses appeared candidates as the denominator. Female selected candidates as a percentage of total selected candidates must use total selected candidates as the denominator. The second statement wrongly puts the subgroup itself in the denominator, so only the first statement is correct.

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More questions

6Match List I with List II. List I: 1. Total question in a table 2. Difference question in a table 3. Ratio question in a table 4. Average question in a table List II: a. Subtraction b. Addition across rows or columns c. Sum divided by the number of terms d. Comparison after simplifying both sides

A1-a, 2-b, 3-d, 4-c
B1-b, 2-a, 3-c, 4-d
C1-b, 2-a, 3-d, 4-c
D1-c, 2-a, 3-d, 4-b

7A table shows candidates who appeared, qualified and selected for different centres. If a question asks, "selected candidates as a percentage of appeared candidates" for one centre, which denominator should be used?

ASelected candidates of that centre
BAppeared candidates of that centre
CQualified candidates of that centre
DTotal selected candidates of all centres

8A bar chart shows that a centre admitted 800 candidates in 2024 and 1,000 candidates in 2025. According to the correct percentage-change rule, what is the percentage increase from 2024 to 2025?

A20%
B10%
C25%
D30%

9A combined DI set shows one category as 30% of a total of 10,000 and another category as 25% of a total of 15,000. Which conclusion follows from the warning about different bases?

AThe 30% category is larger because 30 is greater than 25.
BThe 25% category is larger in actual value.
CBoth categories have the same actual value.
DThe comparison is impossible even after the totals are known.

10Assertion (A): In a pie chart, a sector angle of 72 degrees represents 20% of the whole. Reason (R): Sector percentage is calculated as sector angle divided by 360, multiplied by 100. Choose the correct relationship.

ABoth the assertion and the reason are true, but the reason does not explain the assertion.
BThe assertion is true, but the reason is false.
CThe assertion is false, but the reason is true.
DBoth the assertion and the reason are true, and the reason explains the assertion.

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