Data Interpretation — Practice

Question 1

A family's monthly budget of ₹54,000 is shown in a pie chart. The 'Rent' sector has a central angle of 80°. Monthly rent is:
(a) ₹10,000  (b) ₹12,000  (c) ₹13,500  (d) ₹15,000

Accepted Answer

Rent = (80/360) × 54,000 = (2/9) × 54,000 = ₹12,000.

Answer: (b) ₹12,000.

Question 2

Sales of a store over 5 months: 312, 348, 300, 372, 318 (units). The average monthly sale is:
(a) 324  (b) 330  (c) 336  (d) 342

Accepted Answer

Anchor 330: deviations −18, +18, −30, +42, −12 → sum 0.

Average = 330.

Answer: (b) 330.

Question 3

Production rose from 480 in 2022 to 552 in 2023. The percentage increase is:
(a) 12%  (b) 13%  (c) 15%  (d) 18%

Accepted Answer

Change = 72 on base 480 → 72/480 = 3/20 = 15%.

Answer: (c) 15%.

Question 4

In a table, Company B's output across four quarters is 45, 60, 75, 70; all companies together produced 1,000. B's annual output as a % of the total is:
(a) 20%  (b) 22.5%  (c) 25%  (d) 27.5%

Accepted Answer

B's total = 45 + 60 + 75 + 70 = 250.

250/1000 = 25%.

Answer: (c) 25%.

Question 5

In 2022 a family spent 20% of ₹40,000 monthly income on food; in 2023, 18% of ₹50,000. The food expenditure:
(a) fell by ₹1,000  (b) is unchanged  (c) rose by ₹1,000  (d) rose by ₹2,000

Accepted Answer

2022: 0.20 × 40,000 = ₹8,000. 2023: 0.18 × 50,000 = ₹9,000.

Rose by ₹1,000 despite the falling share.

Answer: (c). Shares compare within a pie; values need each pie's own total.

Question 6

Of 2,400 students, 55% are boys. A bar graph shows 30% of boys chose Commerce. The number of Commerce boys is:
(a) 330  (b) 396  (c) 420  (d) 720

Accepted Answer

Boys = 0.55 × 2400 = 1320.

Commerce boys = 0.30 × 1320 = 396.

Answer: (b) 396. Chain the shares; never add 55% + 30%.

Question 7

Revenue (₹ cr): 2019: 150, 2020: 180, 2021: 240, 2022: 288, 2023: 324. The highest year-on-year percentage growth was in:
(a) 2020  (b) 2021  (c) 2022  (d) 2023

Accepted Answer

2020: 30/150 = 20%. 2021: 60/180 = 33.3%. 2022: 48/240 = 20%. 2023: 36/288 = 12.5%.

Answer: (b) 2021 — the biggest absolute jump (60) also lands on the second-smallest base here, but always CHECK: the biggest bar-to-bar jump does not automatically win.

Question 8

A grouped bar graph shows exports/imports (₹ cr) — 2022: exports 432, imports 540; 2023: exports 486, imports 567. The ratio of total exports to total imports over the two years is:
(a) 34:41  (b) 36:43  (c) 82:99  (d) 9:11

Accepted Answer

Exports = 432 + 486 = 918; imports = 540 + 567 = 1107.

Both are divisible by 27 (digit sums 18 and 9): 918 ÷ 27 = 34, 1107 ÷ 27 = 41.

Ratio = 34 : 41.

Answer: (a) 34:41. Method: sum each series, then reduce by the LARGEST visible common factor (check divisibility by 9 via digit sums first).

Question 9

A histogram of marks shows frequencies — 0–20: 8, 20–40: 12, 40–60: 20, 60–80: 15, 80–100: 5. The percentage of students scoring less than 60 is:
(a) 60%  (b) 62.5%  (c) 65%  (d) 66.67%

Accepted Answer

Below 60 = 8 + 12 + 20 = 40 of total 60.

40/60 = 2/3 = 66.67%.

Answer: (d) 66.67%.

Question 10

A pie chart shows a college's 7,200 students by stream: Arts 35%, Science 30%, Commerce 25%, Vocational 10%. If 40% of Science students are girls, the number of Science boys is:
(a) 1,244  (b) 1,296  (c) 1,344  (d) 1,512

Accepted Answer

Science = 0.30 × 7200 = 2160.

Boys = 60% of 2160 = 1296.

Answer: (b) 1,296.

Question 11

A table headed 'Profit (in ₹ lakh)' shows Company C, 2023: 46. The profit of C in 2023 is:
(a) ₹46  (b) ₹4,600  (c) ₹46,00,000  (d) ₹4,60,000

Accepted Answer

'In ₹ lakh' → 46 lakh = ₹46,00,000.

Answer: (c). This is the units-line trap in its purest form — SSC includes the raw number among the options every time.

Practice — Data Interpretation

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