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.

0.50

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.

2

B.

1

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-\(\sqrt{3}\)

D.

\(\sqrt{3}\) - 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.

\( \frac{1}{5} \)

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.

\( \frac{9}{4} \)

B.

\( \frac{1}{4} \)

C.

2\(\sqrt{5}\)

D.

\(\sqrt{5}\)

ANSWER :

C. 2\(\sqrt{5}\)

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\(\sqrt{5}\) cm

B.

5\(\sqrt{2}\) cm

C.

5 cm

D.

5\(\sqrt{3}\) cm

ANSWER :

D. 5\(\sqrt{3}\) 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