SSC CGL 2022-08.12.2022-4 SSC Question Paper

SSC CGL 2022-08.12.2022-4 SSC Questions

61.

In the following figure, if l‖m, then find the measures of angles marked by a and b.

A.

a = 90° and b = 90°

B.

a = 55° and b = 125°

C.

a = 70° and b = 110°

D.

a = 60° and b = 120°

ANSWER :

C. a = 70° and b = 110°

62.
The radius of a circle with centre at O is 6 cm and the central angle of a sector is 40°. Find the area of the sector.
A.
6π cm²
B.
5π cm²
C.
4π cm²
D.
8π cm²
ANSWER :
C. 4π cm²
63.
A and B can complete a piece of work in 13 and 17 days respectively. A begins to do the work, and they work alternatively one at a time for one day each. The whole work will be completed in:
A.
17(11/17) days
B.
17(17/19) days
C.
14(11/17) days
D.
11(11/17) days
ANSWER :
C. 14(11/17) days
64.
Nihit starts a business with Rs.700. After 5 months Amit and Patel joined him with Rs.300 and Rs.400 respectively. At the end of the year, the business gave a profit of Rs.627. Find the share of Patel in the profit.
A.
Rs.127
B.
Rs.145
C.
Rs.132
D.
Rs.156
ANSWER :
C. Rs.132
65.
There are two circles which touch each other externally. The radius of the first circle with centre O is 17 cm and radius of the second circle with centre A is 7 cm. BC is a direct common tangent to these two circles. The length of BC is:
A.
2√118 cm
B.
2√119 cm
C.
2√113 cm
D.
2√117 cm
ANSWER :
B. 2√119 cm
66.
In a ∆PRQ, AB is drawn parallel to QR, cutting sides at A and B where PQ = 6 cm, QR = 8 cm and QA = 3 cm. What is the length of AB?
A.
4.0 cm
B.
4.2 cm
C.
5.0 cm
D.
2.4 cm
ANSWER :
A. 4.0 cm
67.

The pie chart shows number of boys in 8 schools. The total number of boys is 10,000. Number of boys in a particular school is shown as a % of total number of boys in all these 8 schools.
What is the ratio of total central angle formed by sector C, D and F to the total central angle formed by sector A, G and H?

A.

20:43

B.

44:21

C.

21:44

D.

43:20

ANSWER :

A. 20:43

68.

If \(\, x + \frac{1}{x} = 2\sqrt{5} \,\)  where x > 1, then the value of \(
\begin{aligned}
x^{3} - \frac{1}{x^{3}}
\end{aligned}
\)

A.

82

B.

76

C.

86

D.

78

ANSWER :

B. 76

69.
If 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are:
A.
p=5, q=5
B.
p=3, q=0
C.
p=3, q=5
D.
p=2, q=5
ANSWER :
C. p=3, q=5
70.

What is the value of x if,
\(
\begin{aligned}
\tan A \, \tan B + \frac{\cos x}{\cos A \cos B} = 1
\end{aligned}
\)

A.

B

B.

A

C.

A + B

D.

A - B

ANSWER :

C. A + B