SSC CGL 2022-07.12.2022-2 SSC Question Paper

SSC CGL 2022 Question Papers

SSC CGL 2022-07.12.2022-2 SSC Questions

61.
Two concentric circles are drawn with radii 20 cm and 16 cm. What will be the length chord of the larger circle which is tangent to the smaller circle?
A.
34 cm
B.
24 cm
C.
48 cm
D.
12 cm
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ANSWER :
B. 24 cm
62.
The circumference of the two circles is 308 cm and 440 cm respectively. What is the difference between their radii?
A.
21 cm
B.
49 cm
C.
35 cm
D.
14 cm
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ANSWER :
A. 21 cm
63.

\[
3\left(a - \frac{1}{a}\right) + \left(a - \frac{1}{a}\right)^3 = ?
\]

A.

\(   a^{2} - \frac{1}{a^{3}}  \)

B.

 \(    a^{3} - \frac{1}{a^{3}}  \)

C.

\(    a^{3} + \frac{1}{a^{3}}  \)

D.

\(    a^{2} - \frac{1}{a^{2}}  \)

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ANSWER :

B.  \(    a^{3} - \frac{1}{a^{3}}  \)

64.
How many numbers from 1 to 430 are divisible by 7 and 11 both?
A.
5
B.
11
C.
9
D.
7
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ANSWER :
A. 5
65.
In a partnership firm two partners, Vijay and Praveen are working on an assignment. It will take 12 weeks for Vijay to complete the entire assignment alone, while Praveen will take 8 weeks to complete it alone. Due to work pressure, they decided to work on that assignment on the alternate week basis. In the first week Praveen will work and in the second week Vijay will work and so on. In how many weeks the work will be completed if they work on alternate week basis?
A.
8
B.
8.5
C.
9.5
D.
9
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ANSWER :
C. 9.5
66.
If 14 : 30 :: 7 : x, then what is the value of x?
A.
15
B.
21
C.
9
D.
12
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ANSWER :
A. 15
67.
A circle is inscribed in a △ABC having sides AB = 16 cm, BC = 20 cm, AC = 24 cm and side AB, BC, AC touched circle at D,E and F respectively. The measure of AD is ?
A.
10 cm
B.
20 cm
C.
6 cm
D.
14 cm
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ANSWER :
A. 10 cm
68.
If △ABC ~ △DEF such that 2AB = DE and BC = 8 cm, then the length of EF is:
A.
16 cm
B.
18 cm
C.
22 cm
D.
20 cm
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ANSWER :
A. 16 cm
69.
Find the least number exactly divisible by 9, 24 and 36.
A.
72
B.
36
C.
24
D.
91
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ANSWER :
A. 72
70.

If 1 + sinθ = mcosθ, then what is the value of sinθ?

A.

\(
    \frac{2m^{2} - 1}{m^{2} + 1}
  \)

B.

 \(
    \frac{m^{2} - 1}{m^{2} + 1}
  \)

C.

\(
    \frac{m^{2} + 1}{2m^{2} - 1}
  \)

D.

\( \frac{m^{2} + 1}{m^{2} - 1} \)

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ANSWER :

B.  \(
    \frac{m^{2} - 1}{m^{2} + 1}
  \)