SSC CGL 2021-12.04.2022-2 SSC Question Paper

SSC CGL 2021 Question Papers

SSC CGL 2021-12.04.2022-2 SSC Questions

61.
What is the average of all the prime numbers between 70 and 90?
A.
80
B.
78.66
C.
79
D.
81.6
😑 View Answer Rough Work
ANSWER :
C. 79
62.
In ΔABC, ∠A = 88º. If I is the incentre of the triangle, then the measure of ∠BIC is:
A.
112°
B.
134°
C.
56°
D.
68°
😑 View Answer Rough Work
ANSWER :
B. 134°
63.
If a² + b² + 49c² + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is:
A.
4
B.
3
C.
2
D.
1
😑 View Answer Rough Work
ANSWER :
A. 4
64.

The breakup of the total number of employees of a company working in different offices (A to E), in degrees, is given in the pie chart.
Total number of employees = 2400.
In which office is the number of employees 600?

A.

E

B.

A

C.

C

D.

D

😑 View Answer Rough Work
ANSWER :

D. D

65.

If 0° < θ < 90°, then what is the value of
\[ 1 + \sqrt{\frac{\cot\theta + \cos\theta}{\cot\theta - \cos\theta}} \]

A.

1 - secθ + tanθ

B.

1 - secθ - tanθ

C.

1 + secθ - tanθ

D.

1 + secθ + tanθ

😑 View Answer Rough Work
ANSWER :

D. 1 + secθ + tanθ

66.
If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.
A.
1:2
B.
2:3
C.
3:4
D.
3:5
😑 View Answer Rough Work
ANSWER :
C. 3:4
67.

When 0° < θ < 90°, then what is the value of
\[ \left(\frac{1 - \cot\theta}{1 - \tan\theta}\right)^{2} - 1 \]

A.

1 - cos²θ

B.

sec²θ + 1

C.

cot²θ - 1

D.

sin²θ - 1

😑 View Answer Rough Work
ANSWER :

C. cot²θ - 1

68.
Sides AB and AC of triangle ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 78°, then the measure of ∠P is:
A.
51°
B.
61°
C.
55°
D.
56°
😑 View Answer Rough Work
ANSWER :
A. 51°
69.
A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed the remaining part of their journey in 6(1/8) hours and 8 hours respectively. If the speed of A is 32km/h, then the speed in km/h of B is :
A.
21
B.
28
C.
30
D.
25
😑 View Answer Rough Work
ANSWER :
B. 28
70.

The following bar chart shows the number of students enrolled in two summer camps A and B from 2014 to 2019.
Study the chart carefully and answer the questions that follows.
The number of students enrolled in Camp A in 2016 and 2019 together is what percentage of the number of students enrolled in Camp B in 2015 and 2017 together?

A.

64%

B.

75%

C.

60%

D.

80%

😑 View Answer Rough Work
ANSWER :

A. 64%