Graphs are an essential part of subjects like Mathematics, Reasoning, Data Interpretation, and Science. Questions based on graphs are commonly asked in competitive exams such as SSC, Banking, Railway, UPSC, and other entrance examinations.
In this blog post, we provide a carefully prepared set of Graph MCQ Questions and Answers to help students understand graph-based concepts clearly and practice exam-oriented questions. This content is designed especially for competitive exam aspirants who want to improve accuracy and problem-solving skills.
Graph Objective Questions and Answers
1. A graph is mainly used to:
- A. Store data
- B. Visually represent data
- C. Delete data
- D. Encrypt data
Explanation: Graphs help in visual representation of data, making comparison and analysis easier.
2. In a bar graph, the height of the bar represents:
- A. Category
- B. Frequency or value
- C. Time
- D. Colour
Explanation: The height or length of the bar shows the numerical value or frequency.
3. Which graph is best suitable to show change over time?
- A. Pie chart
- B. Line graph
- C. Bar graph
- D. Histogram
Explanation: Line graphs clearly show trends and changes over a period of time.
4. A pie chart represents data in the form of:
- A. Lines
- B. Rectangles
- C. Circles and sectors
- D. Curves
Explanation: A pie chart is a circular graph divided into sectors representing proportions.
5. Which graph uses rectangles of equal width?
- A. Bar graph
- B. Pie chart
- C. Histogram
- D. Line graph
Explanation: A histogram consists of rectangles of equal width representing class intervals.
6. The horizontal line in a graph is called:
- A. Y-axis
- B. Z-axis
- C. X-axis
- D. Origin
Explanation: The X-axis is the horizontal reference line in a graph.
7. The point where X-axis and Y-axis intersect is called:
- A. Vertex
- B. Origin
- C. Coordinate
- D. Axis point
Explanation: The origin (0,0) is the intersection point of X-axis and Y-axis.
8. Which graph is commonly used in economics?
- A. Line graph
- B. Bar graph
- C. Demand and supply curves
- D. Pie chart
Explanation: Demand and supply curves are widely used in economics to show relationships.
9. Which graph shows percentage distribution?
- A. Line graph
- B. Histogram
- C. Pie chart
- D. Bar graph
Explanation: Pie charts are used to represent percentage or proportional data.
10. The vertical line in a graph is called:
- A. X-axis
- B. Y-axis
- C. Origin
- D. Scale
Explanation: The Y-axis is the vertical reference line used to plot values.
11. Which graph is used to compare different categories?
- A. Line graph
- B. Bar graph
- C. Pie chart
- D. Histogram
Explanation: Bar graphs are best for comparing values among different categories.
12. In a line graph, data points are joined by:
- A. Bars
- B. Circles
- C. Straight line segments
- D. Curves only
Explanation: Straight line segments join data points to show trend clearly.
13. A histogram differs from a bar graph because:
- A. Bars have gaps
- B. Bars do not touch each other
- C. Bars touch each other
- D. It shows time data only
Explanation: In a histogram, bars touch each other as they represent continuous data.
14. The scale of a graph represents:
- A. Colour of graph
- B. Measurement unit
- C. Shape of graph
- D. Title of graph
Explanation: Scale shows the unit used to measure data values on the graph.
15. Which graph is used to show frequency distribution?
- A. Pie chart
- B. Line graph
- C. Histogram
- D. Pictograph
Explanation: Histogram displays frequency distribution of continuous data.
16. In a graph, the independent variable is usually plotted on:
- A. Y-axis
- B. Z-axis
- C. X-axis
- D. Both axes
Explanation: Independent variables are generally plotted on the X-axis.
17. Which graph uses pictures or symbols to represent data?
- A. Bar graph
- B. Pictograph
- C. Line graph
- D. Histogram
Explanation: Pictographs use images or symbols to show data values.
18. Which graph is most suitable for showing relationship between two variables?
- A. Pie chart
- B. Bar graph
- C. Line graph
- D. Pictograph
Explanation: Line graphs clearly show the relationship between two variables.
19. In a pie chart, the total angle of the circle is:
- A. 180°
- B. 270°
- C. 360°
- D. 90°
Explanation: A complete pie chart represents a full circle of 360 degrees.
20. Which graph is also known as broken line graph?
- A. Bar graph
- B. Line graph
- C. Pie chart
- D. Histogram
Explanation: A line graph is also called a broken line graph.
21. Which graph is best to show part-to-whole relationship?
- A. Bar graph
- B. Line graph
- C. Pie chart
- D. Histogram
Explanation: Pie charts effectively show parts of a whole.
22. The title of a graph tells us about:
- A. Scale only
- B. Data source
- C. What the graph represents
- D. Axis values
Explanation: The title explains what information the graph is showing.
23. Which graph is used for continuous data?
- A. Bar graph
- B. Pie chart
- C. Histogram
- D. Pictograph
Explanation: Histograms are used for continuous data distribution.
24. Which axis generally shows frequency in a histogram?
- A. X-axis
- B. Y-axis
- C. Both axes
- D. None
Explanation: Frequency is usually plotted on the Y-axis.
25. Which graph is easiest for common people to understand?
- A. Histogram
- B. Pictograph
- C. Line graph
- D. Scatter graph
Explanation: Pictographs are simple and visually easy to understand.
26. Scatter diagram is mainly used to show:
- A. Frequency
- B. Trend
- C. Relationship between variables
- D. Percentage
Explanation: Scatter diagrams show correlation between two variables.
27. If bars in a bar graph are horizontal, it is called:
- A. Vertical bar graph
- B. Line graph
- C. Horizontal bar graph
- D. Histogram
Explanation: Horizontal bar graphs have bars drawn parallel to X-axis.
28. Which graph shows exact values easily?
- A. Pie chart
- B. Bar graph
- C. Pictograph
- D. Line graph
Explanation: Bar graphs clearly show exact values for comparison.
29. The slope of a line graph indicates:
- A. Colour
- B. Speed of change
- C. Frequency
- D. Total value
Explanation: Slope represents the rate or speed of change.
30. Which graph is most suitable for competitive exams data interpretation?
- A. Bar graph
- B. Line graph
- C. Pie chart
- D. All of the above
Explanation: All these graphs are commonly used in competitive exam questions.
31. In a distance–time graph, a horizontal line indicates:
- A) Uniform acceleration
- B) Uniform speed
- C) Body at rest
- D) Increasing speed
Explanation: A horizontal line means distance does not change with time, so the object is at rest.
32. The slope of a velocity–time graph represents:
- A) Speed
- B) Distance
- C) Acceleration
- D) Displacement
Explanation: The slope of a velocity–time graph gives acceleration.
33. Area under a velocity–time graph gives:
- A) Acceleration
- B) Speed
- C) Distance travelled
- D) Force
Explanation: Area under the velocity–time graph represents distance travelled.
34. Which graph best represents uniform motion?
- A) Curved distance–time graph
- B) Straight line distance–time graph
- C) Zig-zag velocity–time graph
- D) Vertical line distance–time graph
Explanation: Uniform motion is shown by a straight line distance–time graph.
35. A negative slope in a velocity–time graph indicates:
- A) Increasing speed
- B) Zero velocity
- C) Retardation
- D) Constant velocity
Explanation: Negative slope shows decrease in velocity, i.e., retardation.
36. If a distance–time graph is a straight line parallel to the time axis, the speed is:
- A) Maximum
- B) Constant
- C) Zero
- D) Variable
Explanation: Parallel to time axis means no change in distance, so speed is zero.
37. In a speed–time graph, the y-axis represents:
- A) Distance
- B) Speed
- C) Time
- D) Acceleration
Explanation: In speed–time graph, speed is taken on y-axis.
38. A curved line in a distance–time graph shows:
- A) Uniform motion
- B) Body at rest
- C) Non-uniform motion
- D) Zero acceleration
Explanation: Curved line indicates changing speed, i.e., non-uniform motion.
39. What does the slope of a distance–time graph indicate?
- A) Acceleration
- B) Velocity
- C) Distance
- D) Time
Explanation: Slope of distance–time graph gives velocity.
40. Which graph is used to calculate acceleration directly?
- A) Distance–time graph
- B) Speed–distance graph
- C) Velocity–time graph
- D) Acceleration–distance graph
Explanation: Acceleration is obtained from the slope of velocity–time graph.
41. A straight line velocity–time graph parallel to time axis shows:
- A) Zero velocity
- B) Uniform acceleration
- C) Uniform velocity
- D) Increasing velocity
Explanation: Parallel line means velocity is constant with time.
42. The unit of slope in a velocity–time graph is:
- A) m/s
- B) m/s²
- C) m
- D) s/m
Explanation: Slope = change in velocity / time = m/s².
43. If the area under velocity–time graph is zero, it means:
- A) No motion
- B) No acceleration
- C) Zero displacement
- D) Maximum speed
Explanation: Zero area implies zero displacement.
44. Which of the following graphs shows accelerated motion?
- A) Straight line distance–time graph
- B) Curved distance–time graph
- C) Horizontal velocity–time graph
- D) Vertical distance–time graph
Explanation: Curved distance–time graph indicates acceleration.
45. A steeper distance–time graph indicates:
- A) Less speed
- B) Zero speed
- C) Greater speed
- D) Constant acceleration
Explanation: Greater slope means higher speed.
46. In which graph time is always taken on x-axis?
- A) Distance–time
- B) Velocity–time
- C) Speed–time
- D) All of these
Explanation: Time is conventionally taken on x-axis in all motion graphs.
47. What does a vertical line in distance–time graph represent?
- A) Uniform motion
- B) Instantaneous change in position
- C) Body at rest
- D) Uniform acceleration
Explanation: Vertical line means change in distance without time passing, which is physically unrealistic but shows instantaneous change.
48. Which quantity is represented by the slope of speed–time graph?
- A) Velocity
- B) Distance
- C) Acceleration
- D) Time
Explanation: Slope of speed–time graph gives acceleration.
49. A graph with time on x-axis and acceleration on y-axis is called:
- A) Distance–time graph
- B) Velocity–time graph
- C) Acceleration–time graph
- D) Speed–distance graph
Explanation: It directly shows variation of acceleration with time.
50. If velocity–time graph is a straight line with positive slope, motion is:
- A) Uniform
- B) Retarded
- C) Uniformly accelerated
- D) Non-uniform
Explanation: Positive constant slope shows uniform acceleration.
51. The area under an acceleration–time graph represents:
- A) Velocity
- B) Displacement
- C) Distance
- D) Force
Explanation: Area under acceleration–time graph gives change in velocity.
52. In a distance–time graph, a straight line with increasing slope indicates:
- A) Uniform motion
- B) Uniform speed
- C) Accelerated motion
- D) Retarded motion
Explanation: Increasing slope means speed is increasing, showing acceleration.
53. Which graph is most suitable to find instantaneous speed?
- A) Distance–time graph
- B) Speed–time graph
- C) Velocity–time graph
- D) Acceleration–time graph
Explanation: Slope of tangent on distance–time graph gives instantaneous speed.
54. A velocity–time graph crossing the time axis indicates:
- A) Uniform speed
- B) Change in direction of motion
- C) Maximum velocity
- D) Zero acceleration
Explanation: Crossing time axis shows velocity changing sign, meaning direction change.
55. If the distance–time graph is vertical, the speed is:
- A) Zero
- B) Constant
- C) Infinite
- D) Negative
Explanation: Vertical line means distance changes without time, implying infinite speed (theoretical case).
56. A curved velocity–time graph indicates:
- A) Uniform acceleration
- B) Zero acceleration
- C) Non-uniform acceleration
- D) Uniform velocity
Explanation: Curved v–t graph shows acceleration is changing with time.
57. Which graph shows retardation?
- A) Distance–time graph with decreasing slope
- B) Distance–time graph with constant slope
- C) Horizontal velocity–time graph
- D) Vertical speed–time graph
Explanation: Decreasing slope in distance–time graph indicates slowing down (retardation).
58. The slope of an acceleration–time graph represents:
- A) Velocity
- B) Distance
- C) Rate of change of acceleration
- D) Force
Explanation: Slope of a–t graph gives rate of change of acceleration (jerk).
59. In uniform circular motion, the speed–time graph is:
- A) Straight line with positive slope
- B) Curved line
- C) Straight line parallel to time axis
- D) Zig-zag line
Explanation: Speed remains constant in uniform circular motion.
60. A straight line distance–time graph passing through origin indicates:
- A) Body at rest
- B) Uniform motion starting from zero
- C) Accelerated motion
- D) Retarded motion
Explanation: Passing through origin means distance is zero at time zero with constant speed.
61. The x-axis in a distance–time graph represents:
- A) Distance
- B) Speed
- C) Time
- D) Acceleration
Explanation: Time is always taken on x-axis in distance–time graph.
62. A velocity–time graph with zero area represents:
- A) Zero velocity
- B) Zero acceleration
- C) Zero displacement
- D) Uniform motion
Explanation: Zero area means zero net displacement.
63. Which graph helps to calculate total distance travelled?
- A) Distance–time graph
- B) Velocity–time graph
- C) Acceleration–time graph
- D) Speed–time graph
Explanation: Area under speed–time graph gives total distance travelled.
64. A steeper velocity–time graph indicates:
- A) Lower acceleration
- B) Constant velocity
- C) Greater acceleration
- D) Zero acceleration
Explanation: Steeper slope means higher acceleration.
65. If speed–time graph is a straight line sloping downward, motion is:
- A) Uniform
- B) Accelerated
- C) Retarded
- D) At rest
Explanation: Downward slope indicates decreasing speed (retardation).
66. In which graph displacement can be negative?
- A) Distance–time graph
- B) Speed–time graph
- C) Velocity–time graph
- D) Acceleration–time graph
Explanation: Velocity can be negative, indicating negative displacement over time.
67. A graph with constant positive acceleration is:
- A) Straight line velocity–time graph
- B) Curved velocity–time graph
- C) Horizontal acceleration–time graph
- D) Straight line distance–time graph
Explanation: Constant acceleration gives straight line v–t graph with positive slope.
68. The SI unit of area under velocity–time graph is:
- A) m/s²
- B) m/s
- C) m
- D) s
Explanation: Area = velocity × time = displacement (meters).
69. Which motion gives a parabolic distance–time graph?
- A) Uniform motion
- B) Uniform acceleration
- C) Uniform retardation
- D) Circular motion
Explanation: Distance varies as square of time in uniform acceleration.
70. Which graph directly shows change in velocity?
- A) Distance–time graph
- B) Speed–time graph
- C) Velocity–time graph
- D) Acceleration–time graph
Explanation: Velocity–time graph directly represents velocity variation with time.
We hope these Graph MCQ Questions and Answers help you build strong conceptual clarity and confidence for competitive exams. Regular practice of graph-based questions will improve your speed and accuracy in exams.
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