Aptitude & Reasoning

Mensuration Problems for Competitive Exams

mensuration questions

Objective Type Mensuration Problems (Reasoning Aptitude) with Answers for Government Recruitment and Entrance Competitive Exams.

Mensuration Questions and Answers

Question 1
If the difference between the circumference and radius of a circle is 37 cm, then the area of the circle is

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A
154 cm square
B
148 cm square
C
111 cm square
D
259 cm square
Question 2
A rectangular field 50 metres long and 42 metres broad contains a rectangular lawn inside it surrounded by a gravel path of uniform width. If the width of the path is 6 m, then the area of the path is
A
720 m square
B
480 m square
C
240 m square
D
960 m square
Question 3
If the radius of the circle is increased by 100%, then the area is increased by
A
400%
B
100%
C
300%
D
200%
Question 4
One side of a parallelogram is 8 cm. If the corresponding altitude is 6 cm, then its area is given by
A
48 cm square
B
24 cm square
C
40 cm square
D
36 cm square
Question 5
If each of the dimensions of a rectangle is increased by 100%, then the area is increased by

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A
300%
B
200%
C
400%
D
100%
Question 6
The sides of a triangle are 5 cm, 12 cm and 13 cm. then its area is
A
0.0015 m square
B
0.0024 m square
C
0.0026 m square
D
0.003 m square
Question 7
The sides of an equilateral triangle are (2a – b) cm, (a + 3b) cm and (2a – 2b + 1) cm then the perimeter of the triangle is
A
15 cm
B
12 cm
C
21 cm
D
3 cm
Question 8
The ratio of the area of a square to that of the square drawn on its diagonal is
A
1 : 2
B
1 : 3
C
1 : 4
D
1 : 1
Question 9
The length of a rectangle is 1 cm more than its width and its perimeter is 14 cm, then the area of the rectangle is
A
10 cm square
B
14 cm square
C
16 cm square
D
12 cm square
Question 10
The length of a given rectangle is increased by 20% and the breadth is decreased by 20%, then the area
A
remains the same
B
decreases by 5%
C
increases by 5%
D
decreases by 4%
Question 11
The perimeter of a rhombus is 100 cm and one of the diagonals is 40 cm. Then the area of the rhombus is

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A
1200 cm square
B
500 cm square
C
1000 cm square
D
600 cm square
Question 12
If the diagonals of a rhombus are 24 dm and 10 dm, then the perimeter of the rhombus will be
A
50 dm
B
60 dm
C
68 dm
D
52 dm
Question 13
The area of a parallelogram is 70 dm2 and its attitude is 7 dm, then the perimeter of a rectangle of equal area standing on the same base is
A
28 dm
B
17 dm
C
34 dm
D
40 dm
Question 14
A room is rectangular in shape and has a flat roof. It is 10 m wide, 13 m long and 5 m high. It is to be painted inside and outside and on the floor but not on the ceiling, then the total area to be painted is
A
460 m square
B
360 m square
C
590 m square
D
490 m square
Question 15
If the sides of a triangle are doubled, then its area

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A
remains the same
B
becomes four times
C
becomes three times
D
becomes doubled
Question 16
The lengths of the sides of a triangle are in integers and its area is also an integer. One side is 21 cm and the perimeter is 48 cm, then the length of the shortest side is

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A
12 cm
B
10 cm
C
14 cm
D
8 cm
Question 17
If the length of a rectangle is increased by 1/3rd and the width is decreased by 1/3rd, then the area of the rectangle is decreased by the fraction
A
2/3
B
1/6
C
1/8
D
1/9
Question 18
The diagonals of a rhombus are 8 cm and 10 cm. Then the area of the rhombus is
A
100 cm square
B
64 cm square
C
80 cm square
D
40 cm square
Question 19
The cost of plastering the four walls of a room is Rs. 25. The cost of plastering a room twice in length, breadth and height will be
A
Rs. 50
B
Rs. 200
C
Rs. 75
D
Rs. 100
Question 20
The base of a triangle is 15 dm and its height is 12 dm. The height of another triangle of double the area and the base of which is 20 dm, is given by
A
12.5 dm
B
8 dm
C
18 dm
D
9 dm
There are 20 questions to complete.
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