SSC CGL 2022-03.12.2022-2 SSC Question Paper

SSC CGL 2022-03.12.2022-2 SSC Questions

51.
Quantitative Aptitude
In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:
A.
5.5 cm
B.
4.5 cm
C.
6√3 cm
D.
4√3 cm
ANSWER :
D. 4√3 cm
52.

A thief steals a bike at 12:30p.m. and drives it at 48km/h. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58km/h. Thief will be caught at

A.

3:40p.m.

B.

3:54p.m.

C.

3:10p.m.

D.

3:24p.m.

ANSWER :

D. 3:24p.m.

53.

If ΔABC ~ ΔFDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:

A.

5(3/4)cm

B.

4(3/5)cm

C.

3(5/7)cm

D.

6(3/4)cm

ANSWER :

D. 6(3/4)cm

54.
The radii of two cylinders are in the ratio 1: 4 and their heights are in the ratio 4: 3. Their volumes will be in the ratio
A.
1:12
B.
2:9
C.
3:10
D.
1:9
ANSWER :
A. 1:12
55.

If \(
x + \frac{1}{x} = 2 \cos \theta
\) then what is the value of \(
x^{3} + \frac{1}{x^{3}}
\)

A.

2 cos 2θ

B.

cos 3θ

C.

2 cos 3θ

D.

Cos 2θ

ANSWER :

C. 2 cos 3θ

56.
A and B can do a certain work in 6 hours, and A, B and C together take 4 hours to do the same. How long will it take for C alone to accomplish the task?
A.
12 hours
B.
4 hours
C.
2 hours
D.
6 hours
ANSWER :
A. 12 hours
57.

The pie chart given below shows the expenditure incurred by a person on 7 articles. The total expenditure of all these 7 articles are 3600. Expenditure incurred on a particular article is shown in terms of degree with respect to the total expenditure incurred in all these 7 articles.
What is the average expenditure incurred on article P and Q?

A.

875

B.

905

C.

885

D.

950

ANSWER :

D. 950

58.

sin4θ + cos4θ in terms of sinθ can be written as:

A.

2sin4θ + 2sin²θ - 1

B.

2sin4θ - 2sin²θ

C.

2sin4θ - 2sin²θ - 1

D.

2sin4θ - 2sin²θ + 1

ANSWER :

D. 2sin4θ - 2sin²θ + 1

59.
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
A.
36 + 12p cm
B.
36 + 18p cm
C.
24 + 36p cm
D.
36 + 20p cm
ANSWER :
A. 36 + 12p cm
60.

If x = 3 + 2√2, x > 0, then the value of \(
\sqrt{x} - \frac{1}{\sqrt{x}}
\) is:

A.

1

B.

√2

C.

2

D.

2√2

ANSWER :

C. 2