SSC CGL 2021-20.04.2022-2 SSC Question Paper

SSC CGL 2021-20.04.2022-2 SSC Questions

51.

Quantitative Aptitude
If tan B = 5/3, then what is the value of
\(
\frac{\mathrm{cosec}\,B + \sin B}{\cos B - \sec B}
\)

A.

-177/125

B.

-59/15

C.

15/59

D.

177/125

ANSWER :

A. -177/125

52.

If
\(
\sqrt{x} - \tfrac{1}{\sqrt{x}} = \sqrt{5}, \; x \neq 0
\)
then what is the value of
\(
\frac{\left(x^{4} + \tfrac{1}{x^{2}}\right)}{x^{2} + 1}
\)

A.

42

B.

44

C.

48

D.

46

ANSWER :

D. 46

53.
If the number 48k2048p6 is divisible by 99, then (k × p) is equal to:
A.
2
B.
6
C.
4
D.
0
ANSWER :
D. 0
54.
The simple interest on a sum of money at 10% per annum for 4 years is ₹3,200. What will be the amount (in ₹) of the same sum for the same period at the same rate of interest when the interest is compounded annually?
A.
11217.8
B.
11172.8
C.
11127.8
D.
11712.8
ANSWER :
D. 11712.8
55.
A shopkeeper offers a discount of 18% on a machine and sells it for ₹48,380. If he does not offer the discount, he will get a profit of 18%. What is the cost price (in ₹) of the machine?
A.
50000
B.
48500
C.
55000
D.
59000
ANSWER :
A. 50000
56.
In triangle ABC, X and Y are the points on sides AB and AC, respectively, such that XY is parallel to BC. If XY : BC =2.5:7, what is the ratio of area of the trapezium BCYX to that of the â–³ AXR?
A.
25/171
B.
25/196
C.
196/25
D.
171/25
ANSWER :
D. 171/25
57.
A, B and C divide an amount of ₹10,500 amongst themselves in the ratio 5:7:9, respectively. If each one gets ₹500 more, then what will be the ratio of the amounts with A, B and C?
A.
5:7:9
B.
3:4:5
C.
7:9:11
D.
5:6:7
ANSWER :
B. 3:4:5
58.

What is the value of

\( 25 \div 10 - \left(\tfrac{7}{4} \times \tfrac{1}{3}\right)\,\text{ of }\,\tfrac{6}{5} + \tfrac{14}{3} \times \tfrac{9}{10} + \left(\tfrac{1}{5} \div \tfrac{1}{25}\right) \)
A.

11

B.

7

C.

15

D.

9

ANSWER :

A. 11

59.
A and B are two points on the same side of a ground, 50 metres apart. The angles of elevation of these points to the top of a tree are 60° and 30°, respectively. What is 40% of the height of the tree (in m)?
A.
10√3
B.
15√3
C.
5√3
D.
25√3
ANSWER :
A. 10√3
60.

The pie chart shows the breakup of the total number of employees of a company working in different offices (A to E), in degrees. The total number of employees is 3600.
I the % of male employees in office C is 20% and that of female employees in office D is 40%, then what is the ratio of the number of female employees in office D to that of female employees in office C?

A.

3:8

B.

2:3

C.

3:2

D.

5:6

ANSWER :

D. 5:6