SSC CGL 2022-09.12.2022-1 SSC Question Paper

SSC CGL 2022-09.12.2022-1 SSC Questions

51.

Quantitative Aptitude
What is the value of
\(
\begin{aligned}
\cos^{3} 60^\circ - \cos^{3} 240^\circ - \cos^{3} 360^\circ
\end{aligned}
\)

A.

-3 /4

B.

-7/5

C.

-3/5

D.

-9/7

ANSWER :

A. -3 /4

52.

If x + y + z = 0, then what is the value of
\(
\frac{x^2}{yz} + \frac{y^2}{zx} + \frac{z^2}{xy}
\)

A.

3

B.

1

C.

0

D.

2

ANSWER :

A. 3

53.
Three candidates P, Q and R participated in an election. P got 35% more votes than Q, and R got 15% more votes than Q. P overtook R by 2,412 votes. If 90% voters voted and no invalid or illegal votes were cast, then what was the number of voters in the voting list?
A.
46900
B.
42800
C.
42210
D.
48500
ANSWER :
A. 46900
54.
Two cities A and B are 135 km apart on a straight track. One car starts from A at 8 a.m. and travels towards B at 25 km/h. Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/h. At what time will they meet?
A.
11 a.m.
B.
10 a.m.
C.
10.45 a.m.
D.
11.30 a.m.
ANSWER :
A. 11 a.m.
55.
Three successive discounts of 10% is equivalent to a single discount of:
A.
27.1%
B.
19%
C.
25.1%
D.
26.2%
ANSWER :
A. 27.1%
56.
If PT is a tangent at T to a circle whose centre is O and OP = 17 cm and OT = 8 cm, find the length of the tangent segment PT.
A.
13 cm
B.
14 cm
C.
16 cm
D.
15 cm
ANSWER :
D. 15 cm
57.
The LCM of 96, 136 and 504 is:
A.
34272
B.
36548
C.
25872
D.
28564
ANSWER :
A. 34272
58.
A dealer sells his goods at a profit of 20%, but uses a weight of 800 g in place of a kg weight. Find his real gain percentage.
A.
40%
B.
44%
C.
50%
D.
42%
ANSWER :
C. 50%
59.
The circumference of the two circles is 264 cm and 396 cm respectively. What is the difference between their radii?
A.
25 cm
B.
32 cm
C.
16 cm
D.
21 cm
ANSWER :
D. 21 cm
60.
In triangle ABC, ∠B=90º, and ∠C= 45º. IfAC = 2√2 cm, then the length of BC is:
A.
3 cm
B.
2 cm
C.
1 cm
D.
4 cm
ANSWER :
B. 2 cm