Mensuration SSC CGL Questions

Mensuration

Mensuration MCQ Questions

13.
A well with 14 cm radius is dug 23 cm deep. Find the volume of the earth taken out of it.
SSC CGL 2024-25.9.2024-3
A.
14,178 cm3
B.
14,108 cm3
C.
14,168 cm3
D.
15,168 cm3
ANSWER :
C. 14,168 cm3
14.

If the length of a diagonal of a square is (a + b), then the area of the square is:
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A.

a2 + b2

B.

\(\dfrac{1}{2}\)(a2 + b2) + ab

C.

a2 + b2 + 2ab

D.

\(\dfrac{1}{2}\)(a2 + b2)

ANSWER :
B. \(\dfrac{1}{2}\)(a2 + b2) + ab
15.
A cylindrical vessel of diameter 32 cm is partially filled with water. A solid metallic sphere of radius 12 cm is dropped into it. What will be the increase in the level of water in the vessel (in cm)?
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A.
9
B.
72
C.
27
D.
2.25
ANSWER :
A. 9
16.

Let x cm2 be the surface area and y cm3 be the volume of a sphere such that y = 14x. What is the radius (in cm) of the sphere?
SSC CGL 2021-13.04.2022-3

A.

102

B.

42

C.

51

D.

68

ANSWER :
B. 42
17.

The curved surface area of a right circular cylinder is 616 cm2 and the area of its base is 38.5 cm2. What is the volume (in cm3) of the cylinder? (Take π = \(\dfrac{22}{7}\))
SSC CGL 2021-13.04.2022-3

A.

1155

B.

1408

C.

1243

D.

1078

ANSWER :
D. 1078
18.

A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm2). \(\text{(Use } \pi = \frac{22}{7} \text{)}\)
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A.

\( 900 \frac{4}{7} \)

B.

\( 112 \frac{4}{7} \)

C.

\( 675 \frac{3}{7} \)

D.

\( 675 \frac{3}{7} \)

ANSWER :
C. \( 675 \frac{3}{7} \)