SSC CGL 2022-06.12.2022-4 SSC Question Paper

SSC CGL 2022 Question Papers

SSC CGL 2022-06.12.2022-4 SSC Questions

51.
Quantitative Aptitude
If sec θ - 2 cos θ = 7/2, where θ is a positive acute angle, then the value of sec θ is:
A.
6
B.
8
C.
5
D.
4
😑 View Answer Rough Work
ANSWER :
D. 4
52.
The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
A.
1/7
B.
1/11
C.
1/6
D.
1/9
😑 View Answer Rough Work
ANSWER :
D. 1/9
53.

Rohan scored twice as many marks in English as he did in Science. His total marks in English, Science and Mathematics are 126. If the ratio of his marks in English and Mathematics is 2:3 , his marks in English are:

A.

63

B.

20

C.

21

D.

42

😑 View Answer Rough Work
ANSWER :

D. 42

54.
The diagonal of the square is 8√2 cm. Find the diagonal of another square whose area is triple that of the first square.
A.
8√5 cm
B.
8√3 cm
C.
8√2 cm
D.
8√6 cm
😑 View Answer Rough Work
ANSWER :
D. 8√6 cm
55.

If \( x + \frac{1}{x} = 2, \) then the value of \( x^{57} + \frac{1}{x^{57}} \)  is:

A.

1

B.

-2

C.

0

D.

2

😑 View Answer Rough Work
ANSWER :

D. 2

56.
Find the value of tan 3θ if sec 3θ = cosec (4θ - 15°).
A.
1/√3
B.
√3
C.
-1
D.
1
😑 View Answer Rough Work
ANSWER :
D. 1
57.
Three-fourth of a consignment was sold at a profit of 8% and the rest at a loss of 4%. If there was an overall profit of Rs.600, then find the value of the consignment.
A.
Rs.15,000
B.
Rs.6,000
C.
Rs.18,000
D.
Rs.12,000
😑 View Answer Rough Work
ANSWER :
D. Rs.12,000
58.
The number of parallel tangents of a circle with a given tangent is
A.
1
B.
2
C.
3
D.
4
😑 View Answer Rough Work
ANSWER :
A. 1
59.
A man loses 20% of his money and after spending 85% of the remainder, he is left with Rs.120. How much did he have at first?
A.
Rs.1,200
B.
Rs.1,000
C.
Rs.800
D.
Rs.500
😑 View Answer Rough Work
ANSWER :
B. Rs.1,000
60.

If mxm + nxn = 0,  then what is the value of \(
\frac{1}{x^{m}+x^{n}}+\frac{1}{x^{m}-x^{n}}
\) terms of xn is:
Where x, m, n are > 0

A.

2mn/(xⁿ(n² + m²))

B.

2mn/(xⁿ(m² - n²))

C.

2mn/(xⁿ(m² + n²))

D.

2mn/(xⁿ(n² - m²))

😑 View Answer Rough Work
ANSWER :

D. 2mn/(xⁿ(n² - m²))