Mensuration SSC CGL Questions

SSC CGL-Quantitative Aptitude

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
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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:
SSC CGL 2021-13.04.2022-1
A.
a² + b²
B.
\(\dfrac{1}{2}\)(a² + b²) + ab
C.
a² + b² + 2ab
D.
\(\dfrac{1}{2}\)(a² + b²)
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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)?
SSC CGL 2021-13.04.2022-1
A.
9
B.
72
C.
27
D.
2.25
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ANSWER :
A. 9
16.
Let x cm2 be the surface area and y cm3 be the volume of a sobere 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
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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
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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). \(\text{(Use } \pi = \frac{22}{7} \text{)}\)
SSC CGL 2021-18.04.2022-1
A.
\( 900 \frac{4}{7} \)
B.
\( 112 \frac{4}{7} \)
C.
\( 675 \frac{3}{7} \)
D.
\( 675 \frac{3}{7} \)
😑 View Answer Rough Work Error
ANSWER :
C. \( 675 \frac{3}{7} \)