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Mensuration (Part-4)
📆 August 11, 2025
Total Questions: 50
11.
The circumference of the base of a conical tent of height 8 m is 32 πm. Find its curved surface area.
[SSC CGL 12/09/2024 (3rd Shift)]
(a) 164√5 πm²
(b) 162√3 πm²
(c) 132√3 πm²
(d) 128√5 πm²
Correct Answer:
(d) 128√5 πm²
Solution:
12.
A circular arc whose radius is 12 cm makes an angle of 30° at the centre. Find the perimeter (in cm) of the sector formed. (Use π = 3.14)
[SSC CGL 12/09/2024 (3rd Shift)]
(a) 32.38
(b) 30.28
(c) 28.64
(d) 26.24
Correct Answer:
(b) 30.28
Solution:
13.
One-quarter of a circular pizza of radius 21 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Use π = 22/7)
[SSC CGL 13/09/2024 (1st Shift)]
(a) 99
(b) 141
(c) 128
(d) 131
Correct Answer:
(b) 141
Solution:
14.
What is the height (in m) of a conical water tank having radius of 70 m and volume of 46,200 m³? (Take π = 22/7)
[SSC CGL 13/09/2024 (1st Shift)]
(a) 27
(b) 9
(c)18
(d) 54
Correct Answer:
(b) 9
Solution:
15.
A and B are centres of two circles with radii 2 cm and 1 cm respectively, where AB = 5 cm. C is the centre of another circle of radius r cm, which touches each of the above two circles externally. If ∠ACB = 90° then the value of r is:
[SSC CGL 13/09/2024 (1st Shift)]
(a) 5 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm
Correct Answer:
(b) 2 cm
Solution:
16.
From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)?
[SSC CGL 13/09/2024 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
17.
A chord of the larger among two concentric circles is of length 20 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular portion between the two circles?
[SSC CGL 13/09/2024 (2nd Shift)]
(a) 100π
(b) 164π
(c) 122π
(d) 175π
Correct Answer:
(a) 100π
18.
What is the volume in cubic units of a cylinder with a height equal to the diameter and a radius is 4 units ?
[SSC CGL 13/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
19.
The angle turned by minutes hand in 25 minutes in a clock is:
[SSC CGL 13/09/2024 (3rd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
20.
Find the measure of the central angle of a sector if its area is 16π and the radius is 8.
[SSC CGL 17/09/2024 (1st Shift)]
(a) 75°
(b) 60°
(c) 108°
(d) 90°
Correct Answer:
(d) 90°
Solution:
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