SSC CGL 2022-06.12.2022-3 SSC Question Paper

SSC CGL 2022-06.12.2022-3 SSC Questions

61.
The average of eight consecutive odd numbers is 48. Find the sum of the fifth and seventh numbers.
A.
102
B.
86
C.
89
D.
90
ANSWER :
A. 102
62.
The sides of a triangle are in the ratio 1/3 : 1/5 : 1/6 . If the perimeter is 147 cm, then the length of the smallest side is
A.
12 cm
B.
25 cm
C.
30 cm
D.
35 cm
ANSWER :
D. 35 cm
63.

Solve the following to find its value in terms of trigonometric ratios.
(sin A + cos A)(1 - sin A cos A)

A.

sin²A + cos³A

B.

sin²A - cos²A

C.

(cos A - sin A)(sin²A + cos²A)

D.

sin²A - cos³A

ANSWER :

A. sin²A + cos³A

64.
The ratio of the outer and the inner circumference of a circular path is 5:4. If path is 50 metres wide, then what is the radius of the inner circle?
A.
250 metres
B.
300 metres
C.
200 metres
D.
210 metres
ANSWER :
C. 200 metres
65.
If 2a + 3b = 10 and ab = 3, then find the value of 4a² + 9b²
A.
60
B.
62
C.
64
D.
66
ANSWER :
C. 64
66.

Study the table and answer the questions.

School Name Total number of Student enrolled Percentage of students who opted for statistics
A 450 20
B 200 18
C 500 12
D 400 15
What is the average number of students who opted for other than statistics subject in school A and D?
A.

7340

B.

360

C.

355

D.

350

ANSWER :

D. 350

67.
If (4x - 7y) = 11 and xy = 8, what is the value of 16x² + 49y², given that x and y are positive numbers?
A.
596
B.
484
C.
569
D.
448
ANSWER :
C. 569
68.
What is the smallest perfect square which is completely divisible by each of 16, 18 and 36?
A.
144
B.
81
C.
196
D.
169
ANSWER :
A. 144
69.

If sin θ = 1/2, then the value of (3cos θ - 4cos3θ) is:

A.

0

B.

1

C.

2

D.

-1

ANSWER :

A. 0

70.

Find the mean proportion of
\[
\frac{a^{3}+b^{3}}{a-b} \quad \text{and} \quad \frac{a^{2}-b^{2}}{a^{2}-ab+b^{2}}
\]

A.

1

B.

a + b

C.

(a + b)/(a + b)

D.

√(a + b)

ANSWER :

B. a + b