Practice Questions
Concept Explanation
Bar graphs compare quantities using bars whose lengths (or heights) represent values. Read the scale on the axis carefully.
How to Read Bar Graphs
- Check whether bars are vertical or horizontal.
- Note the scale interval (e.g., each grid line = 10 units).
- Compare bar heights for maximum, minimum, and differences.
Calculation Shortcuts
- Total = sum of all bar values.
- Ratio = value A : value B in simplest form.
- % change = (change ÷ original) × 100.
Example
Bars for Mon–Wed: 50, 80, 70. Total = 200. Wed is 10 more than Mon.
Common Trap
A bar starting above zero on a truncated axis can look much taller than it really is—always read numeric labels.
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Q1 Easy
A bar graph shows Mon = 50, Tue = 80, Wed = 70 units. Total for three days is:
Explanation50 + 80 + 70 = 200. -
Q2 Easy
Bars for City A = 120 and City B = 180 (Rs. lakhs). City B exceeds City A by:
Explanation180 − 120 = 60 lakhs. -
Q3 Easy
Four bars read 40, 60, 80, 100. The tallest bar is:
Explanation100 is the maximum. -
Q4 Easy
Bars: P = 90, Q = 60. Ratio P : Q is:
Explanation90 : 60 = 3 : 2. -
Q5 Easy
Average of bar values 30, 50, 70 is:
Explanation(30 + 50 + 70)/3 = 150/3 = 50. -
Q6 Medium
2019 bar = 200, 2020 bar = 250. Percentage increase is:
Explanation(50/200) × 100 = 25%. -
Q7 Medium
Bars: Jan = 100, Feb = 150, Mar = 150. Feb is what % of the three-month total?
ExplanationTotal = 400. Feb share = (150/400) × 100 = 37.5%.
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Q8 Medium
Two bars 64 and 96. Smaller is what % of larger?
Explanation(64/96) × 100 = 66.67%. -
Q9 Medium
Bars for 4 quarters: 100, 120, 140, 160. Average quarterly value is:
Explanation(100+120+140+160)/4 = 520/4 = 130. -
Q10 Medium
If bar X = 45 and total of 5 equal bars is 225, each of the other four bars is:
ExplanationOther four sum = 180; if equal, each = 45. -
Q11 Medium
Bar A = 75, Bar B = 125. Combined they are what % of total 400?
Explanation(75+125)/400 = 200/400 = 50%. -
Q12 Hard
2018 = 160, 2019 = 200, 2020 = 240. Highest year-on-year absolute increase is:
Explanation2018–2019: +40; 2019–2020: +40. Both equal. -
Q13 Easy
Stacked bars: Base = 60, Top = 40 for one category. Total bar height is:
Explanation60 + 40 = 100. -
Q14 Hard
Bars read 85, 102, 119, 136 (scale +17 each year). The pattern increase per step is:
ExplanationEach consecutive difference is 17.
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DS1 Easy
What is the total of three daily bar values?
Statement IMon = 50, Tue = 80, Wed = 70.
Statement IIThe average of the three days is 66.67.
ExplanationStatement I alone: total = 200. Statement II alone: total = 3 × 66.67 ≈ 200 but less direct. -
DS2 Medium
What is the percentage increase from 2019 to 2020?
Statement I2019 = 200 and 2020 = 250.
Statement IIThe increase is 50 units.
ExplanationNeed both base and new value: (50/200) × 100 = 25%.
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DS3 Easy
What is the ratio of the two tallest bars?
Statement IBar heights are 90 and 60.
Statement IIThe taller bar is 1.5 times the shorter.
ExplanationEach alone gives ratio 90 : 60 = 3 : 2. -
DS4 Easy
What is the average of four quarterly bars?
Statement IQ1 = 100, Q2 = 120, Q3 = 140, Q4 = 160.
Statement IIThe sum of the four quarters is 520.
ExplanationStatement I alone: average = 130. Statement II alone: average = 520/4 = 130 if four quarters are known.