SSC CGL 2022-07.12.2022-4 SSC Question Paper

SSC CGL 2022-07.12.2022-4 SSC Questions

51.

If 4tanθ = 3, then what is the value of
\[
\frac{4\sin\theta - \cos\theta + 1}{4\sin\theta + \cos\theta - 1}
\]

A.

14/11

B.

12/11

C.

10/11

D.

13/11

ANSWER :

D. 13/11

52.

Quantitative Aptitude
The % distribution of employees in different categories in a company is shown by the following pie chart.
What is the central angle corresponding to the employees of Group-B?

A.

130°

B.

120°

C.

126°

D.

136°

ANSWER :

C. 126°

53.
The volume of the sphere is 38,808 cm³. What is the surface area of the sphere?
A.
4455 cm²
B.
4433 cm²
C.
5544 cm²
D.
3344 cm²
ANSWER :
C. 5544 cm²
54.

If \(
    x + \frac{1}{x} = 7 ,
  \) find the value of \(
    x^{3} + \frac{1}{x^{3}} .
  \)

A.

343

B.

322

C.

340

D.

332

ANSWER :

B. 322

55.
If tan A = 10/15, then what will be the value of cos²A?
A.
59/269
B.
49/269
C.
69/269
D.
169/269
ANSWER :
C. 69/269
56.
If (a + 1)² + (a + 2)² = 16, then what is the value of 4a² + 12a + 40?
A.
56
B.
62
C.
74
D.
52
ANSWER :
B. 62
57.
12 men and 12 women can complete a piece of work in 9 days. 6 men and 15 women can complete the same work in 12 days. How long (in days) would it take 9 women to complete half the work?
A.
36
B.
12
C.
18
D.
24
ANSWER :
C. 18
58.
The radius of a hemisphere is 5.6 cm. What will be its volume?
A.
367.95 cm³
B.
195.95 cm³
C.
380 cm³
D.
265.65 cm³
ANSWER :
A. 367.95 cm³
59.
Two trains are moving in the same direction at 36 km/hr and 48 km/hr. Time taken by faster train to cross a man sitting in the slower train is 33 sec. What is the length of the faster train?
A.
770 m
B.
90 m
C.
110 m
D.
180 m
ANSWER :
C. 110 m
60.
If tanθ + cotθ = 12, then tan²θ + cot²θ is:
A.
66
B.
128
C.
142
D.
132
ANSWER :
C. 142