SSC CGL 2022-12.12.2022-4 SSC Question Paper

SSC CGL 2022-12.12.2022-4 SSC Questions

61.
X is directly proportional to the square of Y. When X is 12, then Y is 2. Find the value of X when Y is 3.
A.
30
B.
91
C.
27
D.
18
ANSWER :
C. 27
62.
A policeman spotted a thief 40 metres ahead of him. The moment they both saw each other they started running in the same direction on the same track. The thief was running at 10 m/sec and the policeman was chasing him at the speed of 12 m/sec. How much distance (in metres) the policeman needed to cover to catch the thief?
A.
180
B.
240
C.
200
D.
225
ANSWER :
B. 240
63.

If cos θ + cos²θ = 1, find the value of
\(
\sqrt{\sin^{4}\theta + \cos^{2}\theta}
\)

A.

√2 cosθ

B.

2 cosθ

C.

√2 sinθ

D.

2 sinθ

ANSWER :

A. √2 cosθ

64.
Find the HCF of 60, 148 and 382.
A.
2
B.
61
C.
4
D.
24
ANSWER :
A. 2
65.
Raghav went to a shopping mall to purchase clothes. He had two coupons with him, but only one can be used on a single day. Using the first coupon,a total discount of 30% could be obtained on the toal amount. Using the second coupon, he will get 80% off on the price of the costliest shirt if he buys atleast 3 shirts. What is the price at which Raghav can purchase 3 shirts at a minimum price if the prices of the three shirts are Rs.1,250, Rs.1,540 and Rs.1,375?
A.
Rs.2,760
B.
Rs.2,915.50
C.
Rs.2,775
D.
Rs.2,933
ANSWER :
B. Rs.2,915.50
66.
If sin A = 4/5, then what is the value of sinΒ² A?
A.
26/25
B.
36/25
C.
48/25
D.
16/25
ANSWER :
D. 16/25
67.
A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?
A.
258 cm
B.
192 cm
C.
166 cm
D.
224 cm
ANSWER :
B. 192 cm
68.

In the given figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 54°, then ∠OBA =

A.

27°

B.

40°

C.

39°

D.

35°

ANSWER :

A. 27°

69.

In the figure, XYZ is a secant and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

A.

8 cm

B.

9 cm

C.

6 cm

D.

10 cm

ANSWER :

D. 10 cm

70.
A dishonest dealer sells the goods at 7% loss on cost price but uses 18% less weight. What is his percentage of profit? (Correct to 2 decimal places)
A.
25.65%
B.
12.82%
C.
28.75%
D.
13.41%
ANSWER :
D. 13.41%