SSC CGL 2022-03.12.2022-4 SSC Question Paper

SSC CGL 2022-03.12.2022-4 SSC Questions

51.

Quantitative Aptitude
The value of \(
\sqrt{\frac{1 + \cos A}{1 - \cos A}}
\) is

A.

sec A - tan A

B.

cosec A + cot A

C.

sec A + tan A

D.

cosec A - cot A

ANSWER :

B. cosec A + cot A

52.
In a â–³ABC, the median BE intersects AC at E. If BG = 12 cm, where G is the centroid, then BE is equal to:
A.
16 cm
B.
18 cm
C.
15 cm
D.
13 cm
ANSWER :
B. 18 cm
53.

The table given below shows the number of players participating in two games in six different schools?

Schools Game A Game B
J 31 58
K 24 36
L 18 26
M 29 37
N 12 33
P 40 44

What is the ratio of total number of players participating in game A to the total number of players participating in game B?

A.

117 : 77

B.

67 : 116

C.

77 : 117

D.

116:57

ANSWER :

C. 77 : 117

54.
(mx + n) is a factor of:
A.
m²x² + 2nx + n²
B.
m²x² + 2mnx + n²
C.
m²x² + 2mx + n²
D.
m²x² + 2mn + n²
ANSWER :
B. m²x² + 2mnx + n²
55.
â–³ABC is a right angle triangle at B. If tan A = 5/12, then sin A + sin B + sin C will be equal to:
A.
1(5/13)
B.
2(4/13)
C.
3(1/13)
D.
2(1/13)
ANSWER :
B. 2(4/13)
56.

Study the given triangle and find the length of BC.

A.

5/2

B.

6

C.

5

D.

3

ANSWER :

C. 5

57.
With an average speed of 45 km/h, a train reaches its destination on time. If it goes with an average speed of 30 km/h, it is late by 15 minutes. The total journey is:
A.
20.5 km
B.
40.5 km
C.
22.5 km
D.
30.5 km
ANSWER :
C. 22.5 km
58.
The tax on the salary of C is 1/4 of the salary and savings are 1/3 of the salary. The ratio of the expenditures to the savings is:
A.
4:5
B.
4:3
C.
5:4
D.
3:4
ANSWER :
C. 5:4
59.

Study the table and answer the questions.
A school has four sections A,B,C,D of class IX students.
The results of science and maths are shown in the table.

Swipe →
RESULT No. of Students
Section A Section B Section C Section D
Failed in both 24 25 18 20
Failed in Science but passed in Mathematics 14 12 10 15
Passed in Science but failed in Mathematics 7 6 8 10
Passed in both 63 60 56 55

What is the ratio of number of students who failed in Science but passed in Mathematics os section B and section D together to the number of students of section A that passed in both subjects?

A.

9:17

B.

3:9

C.

4:9

D.

5:11

ANSWER :

B. 3:9

60.
In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race, then what is the speed of bike C?
A.
17/3 m/s
B.
26/9 m/s
C.
17/9 m/s
D.
26/3 m/s
ANSWER :
A. 17/3 m/s