Data Interpretation & Data Sufficiency (Class X Level) – Pie charts

Assam Public Service Commission (APSC)

Combined Competitive Examination (CCE)

Preliminary Examination – General Studies Paper II (Objective Type, 200 Marks)

Topic: Data Interpretation & Data Sufficiency (Class X Level)

Sub-Topic: Pie Charts

Each question tests your ability to interpret pie-chart data, calculate angles, percentages, ratios, comparisons, and logical conclusions. Choose the correct answer.

Pie Charts – MCQs

MCQ 1

A pie chart represents total expenditure of ₹360. If the angle for food is 90°, expenditure on food is:
A. ₹60
B. ₹90
C. ₹120
D. ₹180

Correct Answer: C
Explanation:
[
\frac{90^\circ}{360^\circ} \times 360 = ₹120
]

MCQ 2

In a pie chart, the total angle represents:
A. 90°
B. 180°
C. 270°
D. 360°

Correct Answer: D
Explanation:
A full circle equals 360°.

MCQ 3

If a sector occupies 25% of a pie chart, its angle is:
A. 45°
B. 60°
C. 90°
D. 120°

Correct Answer: C
Explanation:
[
25% \times 360^\circ = 90^\circ
]

MCQ 4

Which of the following is best represented by a pie chart?
A. Change over time
B. Comparison of categories
C. Parts of a whole
D. Continuous data

Correct Answer: C
Explanation:
Pie charts show distribution of a whole.

MCQ 5

A pie chart shows population distribution. If rural sector is 144°, the rural population percentage is:
A. 20%
B. 30%
C. 40%
D. 50%

Correct Answer: C
Explanation:
[
\frac{144}{360} \times 100 = 40%
]

MCQ 6

If total income is ₹72,000 and a sector of 60° represents savings, savings equal:
A. ₹10,000
B. ₹12,000
C. ₹15,000
D. ₹18,000

Correct Answer: B
Explanation:
[
\frac{60}{360} \times 72,000 = ₹12,000
]

MCQ 7

Which angle represents one-third of a pie chart?
A. 90°
B. 100°
C. 120°
D. 150°

Correct Answer: C
Explanation:
[
\frac{1}{3} \times 360^\circ = 120^\circ
]

MCQ 8

A pie chart shows marks distribution. If maths has the largest sector, it means:
A. Lowest marks
B. Equal marks
C. Highest marks
D. Average marks

Correct Answer: C
Explanation:
Larger sector = greater value.

MCQ 9

If two sectors have equal angles, their values are:
A. Unequal
B. Equal
C. In ratio 2:1
D. Random

Correct Answer: B
Explanation:
Equal angles represent equal proportions.

MCQ 10

The central angle corresponding to 10% of data is:
A. 18°
B. 30°
C. 36°
D. 45°

Correct Answer: C
Explanation:
[
10% \times 360^\circ = 36^\circ
]

MCQ 11

A pie chart shows expenditure on rent, food, travel, and savings. Which can be directly compared?
A. Causes
B. Percentages
C. Time period
D. Future values

Correct Answer: B
Explanation:
Pie charts show percentage distribution.

MCQ 12

If the angle for education is 72°, its share is:
A. 10%
B. 15%
C. 20%
D. 25%

Correct Answer: C
Explanation:
[
\frac{72}{360} \times 100 = 20%
]

MCQ 13

Which of the following cannot be found directly from a pie chart?
A. Percentage
B. Ratio
C. Trend over time
D. Largest share

Correct Answer: C
Explanation:
Pie charts do not show time-based trends.

MCQ 14

A pie chart is misleading if:
A. Angles are proportional
B. Proper labels are given
C. Scale is incorrect
D. Sectors are coloured

Correct Answer: C
Explanation:
Incorrect angles distort data.

MCQ 15

If the angle for transport is 54°, transport share is:
A. 10%
B. 12%
C. 15%
D. 18%

Correct Answer: C
Explanation:
[
\frac{54}{360} \times 100 = 15%
]

MCQ 16

Which chart is better than a pie chart for showing year-wise change?
A. Pie chart
B. Bar graph
C. Line graph
D. Pictograph

Correct Answer: C
Explanation:
Line graphs show trends over time.

MCQ 17

A sector of 180° in a pie chart represents:
A. 25%
B. 33⅓%
C. 50%
D. 75%

Correct Answer: C
Explanation:
Half of 360° = 180° → 50%.

MCQ 18

The sum of angles of all sectors in a pie chart is always:
A. 180°
B. 270°
C. 300°
D. 360°

Correct Answer: D
Explanation:
A complete circle = 360°.

MCQ 19

If a sector angle is doubled, its percentage share becomes:
A. Same
B. Half
C. Double
D. Zero

Correct Answer: C
Explanation:
Angle ∝ percentage.

MCQ 20

Pie charts are especially useful for showing:
A. Exact values only
B. Continuous variation
C. Relative proportions
D. Daily fluctuations

Correct Answer: C
Explanation:
They emphasize relative share.

MCQ 21

If expenditure on food is 40% and rent is 25%, the ratio food : rent is:
A. 5 : 4
B. 8 : 5
C. 4 : 3
D. 3 : 2

Correct Answer: B
Explanation:
40 : 25 = 8 : 5.

MCQ 22

A pie chart shows savings as the smallest sector. This implies:
A. Maximum savings
B. Equal savings
C. Minimum savings
D. No savings

Correct Answer: C
Explanation:
Smallest angle = smallest value.

MCQ 23

If total students = 900 and girls represent 120° in pie chart, number of girls is:
A. 200
B. 250
C. 300
D. 350

Correct Answer: C
Explanation:
[
\frac{120}{360} \times 900 = 300
]

MCQ 24

Which is essential while drawing a pie chart?
A. Equal bar width
B. Proper angle calculation
C. Joining points
D. Frequency table

Correct Answer: B
Explanation:
Correct angles ensure accuracy.

MCQ 25

If one sector is missing in a pie chart, the chart becomes:
A. Accurate
B. Complete
C. Misleading
D. Attractive

Correct Answer: C
Explanation:
Missing data distorts proportions.

MCQ 26

Which of the following represents 75% of a pie chart?
A. 90°
B. 180°
C. 240°
D. 270°

Correct Answer: D
Explanation:
[
75% \times 360^\circ = 270^\circ
]

MCQ 27

Pie charts are least suitable for:
A. Budget analysis
B. Population distribution
C. Monthly temperature change
D. Expenditure breakup

Correct Answer: C
Explanation:
Temperature change is time-based.

MCQ 28

If data values are very close to each other, pie chart interpretation becomes:
A. Easier
B. Clearer
C. Difficult
D. More accurate

Correct Answer: C
Explanation:
Small differences are hard to see.

MCQ 29

Which sector represents maximum value?
A. Smallest angle
B. Largest angle
C. Lightest colour
D. Darkest colour

Correct Answer: B
Explanation:
Largest angle = maximum share.

MCQ 30

Pie-chart questions in APSC GS Paper II mainly test:
A. Drawing skill
B. Memory
C. Data interpretation and percentage calculation
D. Language comprehension

Correct Answer: C
Explanation:
Focus is on percentage, ratio, and logical interpretation.

✅ APSC Exam Relevance

These MCQs comprehensively cover angles, percentages, ratios, comparisons, and logical conclusions from pie charts, fully aligned with APSC CCE GS Paper II – Data Interpretation & Data Sufficiency (Class X level).

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