Mensuration and Geometry SSC MTS Questions

Mensuration and Geometry

Mensuration and Geometry MCQ Questions

13.
Using the middle points of sides of a square with an area of 36 square units, another square is made. What is the area of the new square (in square units)?
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A.
24
B.
27
C.
18
D.
21
ANSWER :
C. 18
14.

A right circular cone is 9.8 cm high with the radius of its base 4 cm. It is melted and recast into a right circular cone with the radius of its base 3.5 cm. Find its height. \(\text{(use } \pi = \frac{22}{7}\text{)}\)
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A.

21.8 cm

B.

28.1 cm

C.

12.8 cm

D.

18.2 cm

ANSWER :

C. 12.8 cm

15.

The length of the median of an equilateral triangle is \(6\sqrt{3}\ \text{cm}\). The area of the triangle is:
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A.

\(36\sqrt{3}\ \text{cm}^2\)

B.

\(36\ \text{cm}^2\)

C.

\(72\ \text{cm}^2\)

D.

\(72\sqrt{3}\ \text{cm}^2\)

ANSWER :

A. \(36\sqrt{3}\ \text{cm}^2\)

16.

The diameter of the base of a right circular cylinder is 36 cm and its height is 21 cm. Find the volume of the cylinder. \(\text{(use } \pi = \frac{22}{7}\text{)}\)
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A.

2376 cm3

B.

85536 cm3

C.

21384 cm3

D.

5346 cm3

ANSWER :

C. 21384 cm3

17.
What is the length of the longest pole that can be placed in an indoor stadium 24 m long, 18 m wide and 16 m high?
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A.
38 m
B.
34 m
C.
42 m
D.
36 m
ANSWER :
B. 34 m
18.

If the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 24 m, then find the area of the triangle.
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A.

32 m2

B.

37 m2

C.

16 m2

D.

24 m2

ANSWER :

D. 24 m2