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Mensuration (Part-11)
📆 August 29, 2025
Total Questions: 50
11.
A rectangular park is 120 m long and 104 m wide. A 1m wide path runs along the boundary of the park, remaining completely inside the park area. Thus, the outside edges of the path run along the boundary wall of the park. The inside edges of the path are marked with a white line of negligible thickness. If it costs ₹2.50 to mark each metre with the white line, then how much would it cost (in ₹) to fully mark the inside edges of the path ?
[SSC CGL Tier II (02/03/2023)]
(a) 1090
(b) 1080
(c) 1120
(d) 1100
Correct Answer:
(d) 1100
Solution:
12.
What is the total surface area of a pyramid whose base is a square with side 8 cm and height of the pyramid is 3 cm?
[SSC CGL Tier II (03/03/2023)]
(a) 169 cm²
(b) 121 cm²
(c) 144 cm²
(d) 184 cm²
Correct Answer:
(c) 144 cm²
Solution:
13.
The breadth 'b' of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.
[SSC CGL Tier II (03/03/2023)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
14.
A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm²) is:
[SSC CGL Tier II (03/03/2023)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
15.
The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm², then find the length of each of the parallel sides (in cm).
[SSC CGL Tier II (06/03/2023)]
(a) 27, 15
(b) 31, 19
(c) 29, 17
(d) 24, 12
Correct Answer:
(c) 29, 17
16.
How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimension 88 cm, 63 cm, 42 cm. (take π = 22/7)
[SSC CGL 01/12/2022 (1st Shift)]
(a) 920
(b) 750
(c) 650
(d) 860
Correct Answer:
(b) 750
17.
A solid metallic sphere of radius 13 cm is melted and recast into a cone having diameter of the base as 13 cm. What is the height (cm) of the cone ?
[SSC CGL 01/12/2022 (3rd Shift)]
(a) 246
(b) 152
(c) 174
(d) 208
Correct Answer:
(d) 208
18.
Which of the following two will provide more volume ?
[SSC CGL 02/12/2022 (1st Shift)]
I) A cuboid of edges 6 cm,7 cm and 8 cm
II) A cube of edge 7 cm
(a) Cube will have more volume
(b) Both will have equal volume
(c) Cuboid will have more volume
(d) Cannot be determined
Correct Answer:
(a) Cube will have more volume
19.
A hemispherical bowl made of iron has an inner diameter of 84 cm. Find the cost of tin plating it on the inside at the rate of ₹21 per 100 cm² (take π = 22/7) correct to two places of decimal.
[SSC CGL 02/12/2022 (1st Shift)]
(a) ₹2,328.48
(b) ₹2,425.48
(c) ₹2,425.60
(d) ₹2,355.48
Correct Answer:
(a) ₹2,328.48
20.
The radius of a right circular cylinder is five times of its height. If the height of the cylinder is 3.5 cm, then what is the volume of the cylinder?
[SSC CGL 02/12/2022 (3rd Shift)]
(a) 3368.75 cm³
(b) 3872.75 cm³
(c) 3146.75 cm³
(d) 3524.25 cm³
Correct Answer:
(a) 3368.75 cm³
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