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Mensuration (Part-7)
📆 August 19, 2025
Total Questions: 50
31.
The base of a parallelogram is thrice its height. If the area of the parallelogram is 1020 cm², then what is its height?
[Higher Secondary 25/06/2024 (Shift-2)]
(a) 2√85cm
(b) √89cm
(c) √82cm
(d) 2√84cm
Correct Answer:
(a) 2√85cm
Solution:
32.
A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is:
[Higher Secondary 25/06/2024 (Shift-4)]
(a) √6: π
(b) √π: 8
(c) √3: π
(d) √2: π
Correct Answer:
(a) √6: π
Solution:
33.
The surface area of a sphere is 2464 cm². Calculate its volume.(Use π = 22/7 )
[Higher Secondary 26/06/2024 (Shift-2)]
(a) 11598.67 cm³
(b) 11478.67 cm³
(c) 11488.67 cm³
(d) 11498.67 cm³
Correct Answer:
(d) 11498.67 cm³
Solution:
34.
The area of the rhombus (in cm²) having each side equal to 13 cm and one of its diagonals equal to 24 cm is:
[Graduate Level 20/06/2024 (Shift-3)]
(a) 110
(b) 120
(c) 60
(d) 130
Correct Answer:
(b) 120
Solution:
35.
Find the area (in cm²) of a circle with a maximum radius that can be inscribed in a rectangle of length 18 cm and breadth 12 cm.
[Graduate Level 20/06/2024 (Shift-3)]
(a) 72π
(b) 28π
(c) 136π
(d) 36π
Correct Answer:
(d) 36π
Solution:
36.
The difference between the total surface area and lateral surface area of a cube, if the side of the cube is 11 cm (in square cm), is______ .
[Graduate Level 26/06/2024 (Shift-3)]
(a) 244
(b) 243
(c) 242
(d) 241
Correct Answer:
(c) 242
Solution:
37.
If the radius of the right circular cone is increased by 20% and its height is decreased by 25%, then the volume of the right circular cone will be increased by:
[Graduate Level 26/06/2024 (Shift-4)]
(a) 15%
(b) 12%
(c) 10%
(d) 8%
Correct Answer:
(d) 8%
Solution:
38.
Half the perimeter of rectangular garden, whose length is 8 cm more than its width, is 42 cm. Find the a area of the rectangular garden.
[Graduate Level 26/06/2024 (Shift-4)]
(a) 524 cm²
(b) 425 cm²
(c) 254 cm²
(d) 542 cm²
Correct Answer:
(b) 425 cm²
Solution:
39.
The volume of a cube is 64 cm³. The total surface area of the cube is:
[Graduate Level 26/06/2024 (Shift-4)]
(a) 16 cm²
(b) 64 cm²
(c) 96 cm²
(d) 128 cm²
Correct Answer:
(c) 96 cm²
Solution:
40.
The diameter of a sphere is increased by 30%. What is the percentage increase in its volume?
[SSC CHSL Tier II (02/11/2023)]
(a) 69%
(b) 119.7%
(c) 41.7%
(d) 90.5%
Correct Answer:
(b) 119.7%
Solution:
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