Data Interpretation & Data Sufficiency (Class X Level) – Line graphs

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: Line Graphs

Each question is based on line-graph interpretation, testing your ability to identify trends, compare values, calculate differences, averages, percentages, and draw logical conclusions from graphical data.

Line Graphs – MCQs

MCQ 1

A line graph shows the population of a town (in thousands) as:
2018 – 40, 2019 – 45, 2020 – 50.
The population increased the most between:
A. 2018–2019
B. 2019–2020
C. Both equally
D. No increase

Correct Answer: C
Explanation: Increase in both intervals = 5 thousand.

MCQ 2

In a line graph, the x-axis usually represents:
A. Frequency
B. Categories or time
C. Numerical scale
D. Units only

Correct Answer: B
Explanation: Line graphs commonly show change over time on the x-axis.

MCQ 3

A line sloping upward from left to right indicates:
A. Decrease
B. Constant value
C. Increase
D. Fluctuation

Correct Answer: C
Explanation: Upward slope means rising values.

MCQ 4

A horizontal line in a line graph represents:
A. Rapid increase
B. Rapid decrease
C. Constant value
D. Zero value

Correct Answer: C
Explanation: No change over time implies a constant value.

MCQ 5

If the y-axis scale is 1 unit = 10 marks, a point at height 6 units represents:
A. 16 marks
B. 60 marks
C. 600 marks
D. 10 marks

Correct Answer: B
Explanation: 6 × 10 = 60 marks.

MCQ 6

Which type of data is best shown using a line graph?
A. Categorical comparison
B. Parts of a whole
C. Continuous data over time
D. Random data

Correct Answer: C
Explanation: Line graphs show trends and continuity.

MCQ 7

A line graph shows temperature rising steadily from 20°C to 30°C. This indicates:
A. Sudden change
B. Constant temperature
C. Gradual increase
D. Data error

Correct Answer: C
Explanation: Steady slope shows gradual increase.

MCQ 8

If two lines intersect in a line graph, it means:
A. Both values are zero
B. One value is maximum
C. Values are equal at that point
D. Data is incorrect

Correct Answer: C
Explanation: Intersection indicates equal values.

MCQ 9

Which of the following cannot be easily identified from a line graph?
A. Trend
B. Maximum value
C. Minimum value
D. Exact cause of change

Correct Answer: D
Explanation: Line graphs show data, not causes.

MCQ 10

A line graph shows profit (₹ in thousands) as:
Jan – 20, Feb – 30, Mar – 25.
The highest profit was in:
A. January
B. February
C. March
D. Equal in all months

Correct Answer: B
Explanation: Highest value is 30 in February.

MCQ 11

If the line goes down sharply between two points, it indicates:
A. Small decrease
B. Large decrease
C. No change
D. Data repetition

Correct Answer: B
Explanation: Steeper slope = larger change.

MCQ 12

A line graph shows distance travelled versus time. The slope of the line represents:
A. Distance
B. Time
C. Speed
D. Acceleration

Correct Answer: C
Explanation: Slope = distance ÷ time = speed.

MCQ 13

Which feature helps correct interpretation of a line graph?
A. Colour of line
B. Proper scale and labelling
C. Thickness of line
D. Shape of graph

Correct Answer: B
Explanation: Scale and labels ensure accuracy.

MCQ 14

If values fluctuate up and down in a line graph, the trend is:
A. Increasing
B. Decreasing
C. Constant
D. Irregular

Correct Answer: D
Explanation: Frequent rises and falls show irregular trend.

MCQ 15

A line graph without scale is misleading because:
A. Lines cannot be drawn
B. Exact values cannot be interpreted
C. Colours cannot be used
D. Graph becomes horizontal

Correct Answer: B
Explanation: Scale is essential for numerical interpretation.

MCQ 16

In a line graph, the y-axis usually shows:
A. Time
B. Categories
C. Numerical values
D. Events

Correct Answer: C
Explanation: y-axis represents measured quantities.

MCQ 17

If the line graph of rainfall shows a peak in July, it means:
A. Lowest rainfall
B. No rainfall
C. Highest rainfall
D. Average rainfall

Correct Answer: C
Explanation: Peak indicates maximum value.

MCQ 18

A line graph is most suitable when data points are:
A. Independent
B. Unrelated
C. Sequentially related
D. Random

Correct Answer: C
Explanation: Line graphs connect related data points.

MCQ 19

If a line graph shows sales increasing from 100 to 150 units, the increase is:
A. 25 units
B. 40 units
C. 50 units
D. 60 units

Correct Answer: C
Explanation: Increase = 150 − 100 = 50 units.

MCQ 20

Which of the following is NOT a use of line graphs?
A. Showing trends
B. Comparing changes over time
C. Displaying parts of a whole
D. Analysing growth patterns

Correct Answer: C
Explanation: Parts of a whole are shown by pie charts.

MCQ 21

If two lines are parallel in a line graph, it indicates:
A. Equal values
B. Same rate of change
C. Opposite trends
D. Data error

Correct Answer: B
Explanation: Parallel lines mean equal rate of change.

MCQ 22

A line graph shows expenditure rising each month. This indicates:
A. Decreasing trend
B. Constant trend
C. Increasing trend
D. Random trend

Correct Answer: C
Explanation: Continuous rise shows increasing trend.

MCQ 23

Which graph is best to compare changes in temperature over a week?
A. Bar graph
B. Pie chart
C. Line graph
D. Histogram

Correct Answer: C
Explanation: Line graph shows daily variation clearly.

MCQ 24

If data points are wrongly joined in a line graph, the graph becomes:
A. Clear
B. Accurate
C. Misleading
D. Informative

Correct Answer: C
Explanation: Incorrect joining distorts interpretation.

MCQ 25

The point where the line meets the y-axis shows:
A. Final value
B. Initial value
C. Average value
D. Maximum value

Correct Answer: B
Explanation: y-intercept indicates starting value.

MCQ 26

Which element is compulsory in a line graph?
A. Legend
B. Title
C. Scale
D. Colour

Correct Answer: C
Explanation: Scale is essential for measurement.

MCQ 27

If a line graph shows zero value at a point, it means:
A. Data missing
B. Value is zero
C. Average value
D. Infinite value

Correct Answer: B
Explanation: Zero height = zero value.

MCQ 28

Line graphs are useful mainly for:
A. Artistic presentation
B. Numerical calculation only
C. Showing relationships and trends
D. Language analysis

Correct Answer: C
Explanation: Core purpose is trend analysis.

MCQ 29

A downward sloping line followed by an upward slope indicates:
A. Constant data
B. One-way trend
C. Fall followed by rise
D. Error in graph

Correct Answer: C
Explanation: Shows decline and then recovery.

MCQ 30

Line-graph questions in APSC GS Paper II mainly test:
A. Drawing skills
B. Memory
C. Data interpretation and logical reasoning
D. Language ability

Correct Answer: C
Explanation: Focus is on understanding trends, comparisons, and calculations.

✅ APSC Exam Relevance

These MCQs comprehensively cover trend analysis, scale reading, comparison, slope interpretation, and logical conclusions from line graphs, fully aligned with APSC CCE GS Paper II – Data Interpretation & Data Sufficiency (Class X level).

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