Quantitative Aptitude

Bar Graph: Practice Questions with Answers

14 practice questions on Bar Graph, with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

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  1. Q.1

    Using the same data, find the ratio of books sold in March to books sold in April.

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    Answer: 1 : 2

    Solution:

    1. Ratio = 90 : 180.
    2. Dividing both terms by their HCF, 90: 1 : 2.

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  2. Q.2

    Using the same data, in which month-to-month transition was the percentage DECREASE the highest, and what was that percentage?

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    Answer: February to March, a 40% decrease

    Solution:

    1. Check every transition: Jan→Feb is an increase. Feb→Mar: decrease of 60, (60/150)×100 = 40%. Mar→Apr is an increase. Apr→May: decrease of 20, (20/180)×100 ≈ 11.1%.
    2. The highest decrease is Feb→Mar at 40%.

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  3. Q.3

    Using the same data (January 120, February 150, March 90, April 180, May 160), find the average number of books sold per month over the five months.

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    Answer: 140 books

    Solution:

    1. Sum = 120 + 150 + 90 + 180 + 160 = 700.
    2. Average = 700 / 5 = 140.

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  4. Q.4

    Using the same data, in which match was the difference between the two batsmen's scores the largest, and what was that difference?

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    Answer: Match 3, a difference of 20 runs

    Solution:

    1. Match 1: |55−40| = 15. Match 2: |65−50| = 15. Match 3: |70−50| = 20.
    2. The largest difference is in Match 3, at 20 runs.

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  5. Q.5

    A bar graph's y-axis starts at 80 (not 0). Two bars correspond to actual values of 92 and 96. A quick glance makes the second bar look like a huge jump because of the truncated axis. Find the actual percentage increase from the first bar to the second.

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    Answer: ≈ 4.35%

    Solution:

    1. Always compute from the real values, not the visual bar heights: increase = 96 − 92 = 4.
    2. Percentage increase = (4/92) × 100 ≈ 4.35%.
    3. This is a modest increase, even though a truncated axis starting at 80 can make it look dramatic.

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  6. Q.6

    A grouped bar graph shows runs scored by two batsmen over 3 matches: Match 1: A = 40, B = 55; Match 2: A = 65, B = 50; Match 3: A = 50, B = 70. Find the total runs scored by each batsman.

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    Answer: A = 155 runs, B = 175 runs

    Solution:

    1. A's total = 40 + 65 + 50 = 155.
    2. B's total = 55 + 50 + 70 = 175.

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  7. Q.7

    A bar graph shows the number of books sold by a store over five months: January 120, February 150, March 90, April 180, May 160. Find the percentage increase in books sold from January to February.

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    Answer: 25%

    Solution:

    1. Increase = 150 − 120 = 30.
    2. Percentage increase = (30/120) × 100 = 25%.

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  8. Q.8

    Using the same data, find the ratio of books sold in January to books sold in May.

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    Answer: 3 : 4

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  9. Q.9

    Using the product sales data (Q1: X=30,Y=45; Q2: X=50,Y=40; Q3: X=45,Y=65), find the average quarterly sales of Product Y.

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    Answer: ₹50 thousand. (45+40+65)/3.

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  10. Q.10

    Using the same data, find the total books sold in January, February and March combined.

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    Answer: 360 books

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  11. Q.11

    A grouped bar graph shows sales (₹ thousand) of two products over 3 quarters: Q1: X=30, Y=45; Q2: X=50, Y=40; Q3: X=45, Y=65. Find the total sales for each product.

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    Answer: X = 125, Y = 150 (₹ thousand).

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  12. Q.12

    Using the same data, in which quarter was the difference between X and Y sales the largest?

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    Answer: Q3, a difference of 20 (65−45).

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  13. Q.13

    Using the same data (January 120, February 150, March 90, April 180, May 160 books), find the percentage increase in books sold from March to April.

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    Answer: 100%

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  14. Q.14

    A bar graph's y-axis starts at 50 (not 0). Two bars correspond to actual values of 61 and 64. Find the actual percentage increase from the first to the second.

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    Answer: ≈ 4.92%. (64−61)/61 × 100.

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How these questions were made

Written by Mahesh Srivastava, Founder of Pariksha Saathi. Published: 2026-10-05.

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