SSC CGL 2022-08.12.2022-3 SSC Question Paper

SSC CGL 2022-08.12.2022-3 SSC Questions

61.
Find the HCF of 4.08 and 6.63.
A.
0.5
B.
0.52
C.
0.51
D.
0.53
ANSWER :
C. 0.51
62.
Which of the following will satisfy a² = b² + (ab)² for the values a and b?
A.
a = sin x, b = cot x
B.
a = cos x, b = tan x
C.
a = cot x, b = cos x
D.
a = sin x, b = tan x
ANSWER :
C. a = cot x, b = cos x
63.
7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
A.
3
B.
11
C.
5
D.
4
ANSWER :
C. 5
64.

θ = 135°; y = 15°. What is the value of 2 cos(θ) sin(y)?

A.

\(\,\frac{\sqrt{3} - 1}{2}\,\)

B.

\(\,\frac{1 - \sqrt{3}}{2}\,\)

C.

2

D.

√3 - 2

ANSWER :

B. \(\,\frac{1 - \sqrt{3}}{2}\,\)

65.

If abc = 5, what is the value of

\(
\begin{aligned}
\left( 
\frac{1}{1 + a + b^{-1}} 
+ \frac{1}{1 + b + 5c^{-1}} 
+ \frac{1}{1 + \tfrac{c}{5} + a^{-1}}
\right)
\end{aligned}
\)
A.

5

B.

1

C.

1/5

D.

(a - b + c)

ANSWER :

B. 1

66.

If sec x - cos x = 4, then what will be the value of  \(\,\frac{1 + \cos^{2}x}{\cos x}\, ?\)

A.

9/4

B.

1/4

C.

2√5

D.

√5

ANSWER :

C. 2√5

67.

Study the graph and answer the question.
Data of different states regarding population of states in the year 1998.

Total population of the given states = 32760000

Swipe →
States
Sex and literacy wise Population Ratio
Sex
Literacy
M F Literate Illiterate
Arunachal Pradesh 5 3 2 7
Madhya Pradesh 3 1 1 4
Delhi 2 3 2 1
Goa 3 5 3 2
Bihar 3 4 4 1
Uttar Pradesh 3 2 7 2
Tamil Nadu 3 4 9 4

What was the ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh? 

A.

21:50

B.

25:16

C.

16:25

D.

50:21

ANSWER :

B. 25:16

68.
The radius of a circle is 5cm, calculate the length of a tangent drawn to this circle from a point at a distance of 10cm from its centre.
A.
5√5 cm
B.
5√2 cm
C.
5 cm
D.
5√3 cm
ANSWER :
D. 5√3 cm
69.
A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
A.
252p cm³
B.
356p cm³
C.
144p cm³
D.
175p cm³
ANSWER :
A. 252p cm³
70.
A certain amount will become six times in 20 years. How long does it take for the same amount to become 5 times? Assume the same rate of simple interest in each case.
A.
16 years 8 months
B.
15 years 8 months
C.
15 years
D.
16 years
ANSWER :
D. 16 years