Mensuration SSC CGL Questions

Mensuration MCQ Questions

7.
The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle?
SSC CGL 2024-26.9.2024-2
A.
196 units
B.
204 units
C.
116 units
D.
216 units
ANSWER :
D. 216 units
8.
From a point A, which is at a distance of 17 cm from the centre C of a circle with radius 8 cm, the pair of tangents AB and AD to the circle are drawn. The area of the quadrilateral ABCD is _____ cm².
SSC CGL 2024-26.9.2024-1
A.
192
B.
120
C.
60
D.
360
ANSWER :
B. 120
9.
A circular arc whose radius is 14cm, making an angle of 45° at the centre. Find the perimeter (in cm) of the sector.\(\text{(Use } \pi = \dfrac{22}{7}\text{)}\)
SSC CGL 2024-25.9.2024-2
A.
38
B.
28
C.
39
D.
34
ANSWER :
C. 39
10.
A cylindrical tank of radius 14cm is full of water. If 616 litres of water is drawn out, then the water level in that tank is dropped by ______________ m.\(\text{(Take } \pi = \dfrac{22}{7}\text{)}\)
SSC CGL 2024-25.9.2024-2
A.
1000
B.
100
C.
1
D.
10
ANSWER :
D. 10
11.
Find the diameter (in cm) of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 12 cm and 16 cm.
SSC CGL 2024-25.9.2024-2
A.
32
B.
56
C.
64
D.
28
ANSWER :
B. 56
12.
The ratio of circumference and diameter of a circle is 3 : 5. If the circumference is 6 cm, then the radius of the circle is:
SSC CGL 2024-25.9.2024-3
A.
10 cm
B.
15 cm
C.
5 cm
D.
1.8 cm
ANSWER :
C. 5 cm