SSC CGL 2022-13.12.2022-4 SSC Question Paper

SSC CGL 2022-13.12.2022-4 SSC Questions

61.

In the given figure, ∠ABC = 81° and ∠ACB = 9º. What is the value of ∠BDC?

A.

80°

B.

90°

C.

70°

D.

60°

ANSWER :

B. 90°

62.

If x = 2 - 21/3 + 22/3, then find the value of x³ - 6x² + 18x.

A.

40

B.

33

C.

45

D.

22

ANSWER :

D. 22

63.

If A is an acute angle, then what is the simplified form of
\(
\frac{\cos(\pi - A) \cdot \cot\left(\frac{\pi}{2} + A\right) \cdot \cos(-A)}
{\tan(\pi + A) \cdot \tan\left(\frac{3\pi}{2} + A\right) \cdot \sin(2\pi - A)}
\)

A.

cos²A

B.

sin A

C.

sin²A

D.

cos A

ANSWER :

D. cos A

64.
If a + b + c = 5, a³ + b³ + c³ = 85 and abc = 25, then find the value of a² + b² + c² - ab - bc - ca.
A.
2
B.
4
C.
6
D.
8
ANSWER :
A. 2
65.

Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.

A.

1/2{9√3 -(11/7)} unit²

B.

1/4{9√3 - (11/7)} unit²

C.

1/2{6√3 - (11/7)} unit²

D.

1/2{9√3 - (22/7)} unit²

ANSWER :

A. 1/2{9√3 -(11/7)} unit²

66.

The table given below shows the sales turnover of 5 different companies.

Company Sales turnover
E 270
F 230
G 350
H 400
I 300

What is the difference between the sales turnover of company H and F? 

A.

190

B.

210

C.

170

D.

230

ANSWER :

C. 170

67.
If a = -12, b = -6 and c = 18, then what is the value of (2abc)/9
A.
554
B.
288
C.
258
D.
564
ANSWER :
B. 288
68.
By selling an article for Rs.36,000 a man gains 10%. To get a profit of 20%, he has to sell it for:
A.
Rs.30,000
B.
Rs.35,000
C.
Rs.36,000
D.
Rs.36,600
ANSWER :
C. Rs.36,000
69.
In nine innings of cricket, the average of a batsman is 58 runs. How many runs does he need to make in the tenth innings to get the average score 61?
A.
88
B.
69
C.
79
D.
100
ANSWER :
A. 88
70.
Find the mean proportional between 25 and 225.
A.
65
B.
25
C.
75
D.
85
ANSWER :
C. 75