SSC CGL 2023-18.07.2023-2 SSC Question Paper

SSC CGL 2023-18.07.2023-2 SSC Questions

51.
Quantitative Aptitude
If the areas of two similar triangles are in the ratio 196: 625, what would be the ratio of the corresponding sides?
A.
14:25
B.
13:20
C.
14:20
D.
13:25
ANSWER :
A. 14:25
52.
If sec8θ + tanθ = 5, then find the value of tanθ
A.
5/12
B.
13/5
C.
13/3
D.
12/5
ANSWER :
D. 12/5
53.
The ratio of the length of each equal side and the third side of an isosceles triangle is 3 : 5. If the area of the triangle is 30√11 cm2, then the length of the third side (in cm) is
A.
10√6
B.
5√6
C.
13√6
D.
11√6
ANSWER :
A. 10√6
54.

In a factory, utensils are manufactured in three plants, plant A, B and C. How many plates are manufactured by plant B if total plates are 3260?

A.

1467

B.

1304

C.

1254

D.

1141

ANSWER :

B. 1304

55.

The value of
\(
\left( \frac{1}{\sin \theta} + \frac{1}{\tan \theta} \right)
\left( \frac{1}{\sin \theta} - \frac{1}{\tan \theta} \right)
\)

A.

0

B.

2

C.

3

D.

1

ANSWER :

D. 1

56.
The percentage profit earned by selling an article for ₹2,000 is the same as the percentage loss incurred by selling the same article for ₹1,200. At what price should that article be sold to make a profit of 20%?
A.
2000
B.
1800
C.
1920
D.
1840
ANSWER :
C. 1920
57.
Which number among 24963, 24973, 24983 and 24993 is divisible by 7?
A.
24973
B.
24983
C.
24963
D.
24993
ANSWER :
B. 24983
58.
Simplify the following:
sin 2x + 2 sin 4x + sin 6x
A.
4 cos²x sin 4x
B.
4 cos²x sin x
C.
2 cos²x sin 4x
D.
4 sin²x sin 4x
ANSWER :
A. 4 cos²x sin 4x
59.
If 405: y :: y: 125, and y > 0, then find the value of y.
A.
225
B.
205
C.
215
D.
235
ANSWER :
A. 225
60.
A policeman follows a thief who is 600 m ahead of the policeman. If the policeman and the thief run at speeds of 10 km/h and 8 km/h, respectively, in how much time (in minutes), will the policeman catch the thief?
A.
16
B.
14
C.
18
D.
12
ANSWER :
C. 18