Mensuration & Data Interpretation Basics
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Question No. 1
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A rectangular field has its length twice its width. If the perimeter of the field is 96 meters, what is its area?
A.
512 sq m
B.
256 sq m
C.
384 sq m
D.
480 sq m
Question No. 2
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A cylindrical tank has a radius of 7 meters and a height of 10 meters. What is its volume? (Use π = 22/7)
A.
1540 cubic meters
B.
770 cubic meters
C.
220 cubic meters
D.
440 cubic meters
Question No. 3
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Which of the following statements is generally
true
about a bar graph?
A.
It is primarily used to show trends over time.
B.
It represents proportions of a whole.
C.
It is used to compare quantities across different categories.
D.
It connects data points to show continuous change.
Question No. 4
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The area of a square is 196 cm². What is the perimeter of a rectangle whose length is twice the side of the square and width is half the side of the square?
A.
70 cm
B.
63 cm
C.
77 cm
D.
84 cm
Question No. 5
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A pie chart shows the distribution of 720 students across different clubs. If the 'Science Club' accounts for 90 degrees of the circle, how many students are in the Science Club?
A.
180 students
B.
90 students
C.
120 students
D.
240 students
Question No. 6
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What is the total surface area of a cube whose volume is 216 cubic cm?
A.
216 sq cm
B.
144 sq cm
C.
108 sq cm
D.
36 sq cm
Question No. 7
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Consider the following table showing sales of different car models in a month:
Model
Units Sold
Sedan
450
SUV
620
Hatchback
380
Luxury
150
Which car model had sales approximately
4 times
that of the Luxury model?
A.
Sedan
B.
SUV
C.
Hatchback
D.
None of the above
Question No. 8
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A triangle has a base of 12 cm and a height of 8 cm. What is its area?
A.
48 sq cm
B.
24 sq cm
C.
96 sq cm
D.
36 sq cm
Question No. 9
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A line graph shows the population growth of a city over 5 years. If the line segment for Year 3 to Year 4 is steeper than the segment for Year 1 to Year 2, what does this indicate?
A.
The population decreased in Year 3-4.
B.
The population grew faster in Year 3-4 than in Year 1-2.
C.
The population was higher in Year 1 than in Year 3.
D.
The population remained constant in Year 3-4.
Question No. 10
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If the radius of a circle is doubled, what is the ratio of its new area to its original area?
A.
2:1
B.
1:2
C.
4:1
D.
1:4
Question No. 11
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If a cuboid of dimensions 10 cm x 8 cm x 6 cm is melted and recast into smaller cubes of side 2 cm, how many such smaller cubes can be formed?
A.
60
B.
30
C.
120
D.
90
Question No. 12
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In a class of 50 students, 20 like English, 15 like Math, and the rest like Science. What percentage of students like Science?
A.
30%
B.
20%
C.
40%
D.
50%
Question No. 13
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A garden is in the shape of a rectangle with semi-circular ends. The length of the rectangular part is 22m and the width is 14m. What is the perimeter of the garden? (Use π = 22/7)
A.
72 m
B.
88 m
C.
68 m
D.
76 m
Question No. 14
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Match the type of graph with its primary use:
Graph Type
Primary Use
1. Bar Graph
P. Showing trends over time
2. Line Graph
Q. Comparing quantities across categories
3. Pie Chart
R. Representing proportions of a whole
Which of the following matches are correct?
A.
1-P, 2-Q, 3-R
B.
1-Q, 2-P, 3-R
C.
1-R, 2-P, 3-Q
D.
1-Q, 2-R, 3-P
Question No. 15
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The diagonals of a rhombus are 16 cm and 12 cm. What is its area?
A.
96 sq cm
B.
48 sq cm
C.
192 sq cm
D.
72 sq cm
Question No. 16
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A survey recorded the favorite fruits of 200 people:
Apples: 60 people
Bananas: 40 people
Oranges: 50 people
Grapes: 30 people
Mangoes: 20 people
Consider the following pairs:
(Apples, Grapes): Difference in number of people is 30.
(Bananas, Mangoes): Sum of people is 60.
(Oranges, Apples): Oranges are 25% of total, Apples are 30% of total.
How many of the above pairs are correctly matched?
A.
Only one
B.
Only two
C.
All three
D.
None
Question No. 17
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A cone has a radius of 3 cm and a height of 7 cm. What is its volume? (Use π = 22/7)
A.
66 cubic cm
B.
198 cubic cm
C.
231 cubic cm
D.
99 cubic cm
Question No. 18
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A company's quarterly profits (in lakhs) for a year are given:
Q1: 150
Q2: 120
Q3: 180
Q4: 160
Arrange the quarters in ascending order of profit.
A.
Q2, Q1, Q4, Q3
B.
Q1, Q2, Q3, Q4
C.
Q3, Q4, Q1, Q2
D.
Q2, Q4, Q1, Q3
Question No. 19
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A trapezium has parallel sides of length 10 cm and 14 cm, and the perpendicular distance between them is 6 cm. What is its area?
A.
72 sq cm
B.
144 sq cm
C.
36 sq cm
D.
120 sq cm
Question No. 20
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The monthly expenditures of a family for five months are Rs. 12000, Rs. 15000, Rs. 13000, Rs. 16000, and Rs. 14000. What is the average monthly expenditure?
A.
Rs. 13500
B.
Rs. 14000
C.
Rs. 14500
D.
Rs. 15000
Question No. 21
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If the length of a rectangle is increased by 10% and its width is decreased by 10%, what is the percentage change in its area?
A.
1% increase
B.
1% decrease
C.
No change
D.
0.5% decrease
Question No. 22
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Which of the following is
not
a common component or characteristic of Data Interpretation questions in competitive exams?
A.
Analyzing data presented in charts or tables.
B.
Performing arithmetic calculations (percentages, ratios, averages).
C.
Drawing subjective conclusions based on personal opinions.
D.
Comparing different data sets or trends.
Question No. 23
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What is the volume of a sphere with a radius of 3 cm? (Use π ≈ 3.14)
A.
113.04 cubic cm
B.
37.68 cubic cm
C.
18.84 cubic cm
D.
56.52 cubic cm
Question No. 24
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Sales data for two products (P and Q) over three months:
Month
Product P Sales (units)
Product Q Sales (units)
January
200
250
February
220
280
March
240
300
What is the ratio of total sales of Product P to total sales of Product Q for these three months?
A.
22:27
B.
66:83
C.
11:13
D.
66:80
Question No. 25
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If the circumference of a circle is numerically equal to its area, what is the radius of the circle?
A.
1 unit
B.
2 units
C.
π units
D.
4 units
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