SSC CGL 2021-12.04.2022-1 SSC Question Paper

SSC CGL 2021-12.04.2022-1 SSC Questions

61.

A. B and C can do a work in 8, 10 and 12 days, respectively. After completing the work together, they received Rs.5,550. What is the share of B (in ₹) in the amount received?

A.

1,500

B.

1,850

C.

1,800

D.

1,696

ANSWER :

C. 1,800

62.

What is the difference in the volume (in cm³) of a sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (Use π=\(\dfrac{22}{7}\))

A.

205

B.

704

C.

924

D.

1078

ANSWER :

C. 924

63.

If 3sec²θ + tanθ - 7 = 0, 0° < θ < 90°, then what is the value of \( \frac{2\sin\theta + 3\cos\theta}{\mathrm{cosec}\,\theta + \sec\theta} \) ?

A.

10

B.

\(\dfrac{5}{2}\)

C.

\(\dfrac{5}{4}\)

D.

4\(\sqrt{2}\)

ANSWER :

C. \(\dfrac{5}{4}\)

64.
The bisector of ∠B in △ABC meets AC at D. If AB=12cm, BC=18cm and AC=15cm, then the length of AD (in cm) is:
A.
6
B.
5
C.
12
D.
9
ANSWER :
A. 6
65.

The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A,B,C,D,E.
What is the ratio of the number of youth in states A, C and E taken together to the number of employed youth in states B, C and D taken together?

A.

65:59

B.

56:49

C.

8:7

D.

57:49

ANSWER :

B. 56:49

66.
A tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 10.5 cm. A secant PAB intersects the circle in points A and B. If PA = 7 cm, what is the length (in cm) of the chord AB?
A.
8.5
B.
8.75
C.
7.75
D.
8.45
ANSWER :
B. 8.75
67.
What is the remainder when the product of 335, 608 and 853 is divided by 13?
A.
11
B.
12
C.
6
D.
7
ANSWER :
D. 7
68.
The marked price of an article is Rs.625. After allowing a discount of 32% on the marked price, there was a profit of Rs.25. The profit percentage (correct to the nearest integer)
A.
5%
B.
4%
C.
6%
D.
7%
ANSWER :
C. 6%
69.
At present, A is younger than B by 8 years. If 4 years ago, their ages were in the ratio 1:2, then what is the present age of B (in years)?
A.
11
B.
20
C.
12
D.
18
ANSWER :
B. 20
70.
Which is the smallest multiple of 7, which leaves 5 as remainder in each case, when divided by 8, 9, 12 and 15?
A.
365
B.
1085
C.
2525
D.
725
ANSWER :
B. 1085