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Mensuration
📆 August 5, 2025
Total Questions: 50
21.
Some ice pieces, spherical in shape, of diameter 6 cm are dropped in a cylindrical container containing some juice and are fully submerged. If the diameter of the container is 18 cm and level of juice rises by 40 cm, then how many ice pieces are dropped in the container?
[SSC CPO 05/10/2023 (3rd Shift)]
(a) 90
(b) 80
(c) 85
(d) 95
Correct Answer:
(a) 90
Solution:
22.
Some medicine in liquid form is prepared in a hemispherical container of diameter 36 cm. When the container is full of medicine, the medicine is transferred to small cylindrical bottles of diameter 6 cm and height 6 cm. How many bottles are required to empty the container?
[SSC CPO 04/10/2023 (2nd Shift)]
(a) 70
(b) 75
(c) 72
(d) 76
Correct Answer:
(c) 72
Solution:
23.
The length and the breadth of the floor of a rectangular hall are 126 feet and 90 feet, respectively. What will be the area (in square feet) of each of the largest identical square tiles that can be used to tile this floor in a way that no part of the floor remains uncovered?
[SSC CPO 03/10/2023 (3rd Shift)]
(a) 196
(b) 256
(c) 324
(d) 484
Correct Answer:
(c) 324
Solution:
24.
The radii of the ends of a frustum of a solid right-circular cone 45 cm high are 28 cm and 7 cm. If this frustum is melted and reconstructed into a solid right circular cylinder whose radius of base and height are in the ratio 3:5, find the curved surface area (in cm²) of this cylinder. [Use π = 22/7.]
[SSC CPO 03/10/2023 (1st Shift)]
(a) 4610
(b) 4620
(c) 4580
(d) 4640
Correct Answer:
(b) 4620
Solution:
25.
A square and a rhombus have the same base and the rhombus is inclined at 45°, then what will be the ratio of the area of the square to the area of the rhombus?
[SSC MTS 14/09/2023 (3rd Shift)]
(a) √3:1
(b) 1:√3
(c) √2:√3
(d) √2:1
Correct Answer:
(d) √2:1
Solution:
26.
A closed wooden box measures externally 10 cm long. 8 cm broad and 6 cm high. If the thickness of the wood is 0.5 cm, then the volume of wood required is
[SSC MTS 14/09/2023 (3rd Shift)]
(a) 165 cm³
(b) 300 cm³
(c) 230 cm³
(d) 150 cm³
Correct Answer:
(a) 165 cm³
Solution:
27.
The weight of a cube varies directly as the product of its volume and its density. The ratio of densities of the materials of the first cube and second cube is 27:16. If the weight of the first cube is 4 times the weight of the second cube, then what is the ratio of the edges of the first cube and second cube?
[SSC MTS 14/09/2023 (2nd Shift)]
(a) 2:3
(b) 3:2
(c) 3:4
(d) 4:3
Correct Answer:
(d) 4:3
Solution:
28.
The weight of a circular disc varies directly as the product of the square of the radius and its thickness. Two identical/similar discs have their thickness in the ratio of 16: 9. What is the ratio of their radii if the weight of the first is four times that of the second ?
[SSC MTS 12/09/2023 (3rd Shift)]
(a) 3:2
(b) 2:3
(c) 1:2
(d) 2:1
Correct Answer:
(a) 3:2
Solution:
29.
A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 154 cm, then find the cost of painting it if the cost of painting is ₹4 per 100 cm² (use π = 22/7).
[SSC CHSL 10/08/2023 (4th Shift)]
(a) ₹150.92
(b) ₹150.66
(c) ₹105.29
(d) ₹105.66
Correct Answer:
(a) ₹150.92
Solution:
30.
The area of a sector of a circle is 616cm² with a central angle of 10º . The radius of the circle is_______ . (use π = 22/7)
[SSC CHSL 08/08/2023 (2nd Shift)]
(a) 84 cm
(b) 21 cm
(c) 48 cm
(d) 28 cm
Correct Answer:
(a) 84 cm
Solution:
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