SSC CGL 2022-13.12.2022-3 SSC Question Paper

SSC CGL 2022-13.12.2022-3 SSC Questions

51.
Quantitative Aptitude
The HCF of three numbers 72, 108 and 2010 is:
A.
18
B.
6
C.
12
D.
5
ANSWER :
B. 6
52.

Find the value of
\(
\sec^{55}\theta + \frac{1}{\sec^{55}\theta}
\)
 If
\(
\sec \theta + \frac{1}{\cos \theta} = 2
\)

A.

2

B.

0

C.

1

D.

55

ANSWER :

A. 2

53.

The following bar chat shows the export of a certain commodity P in crore rupees between 2014 and 2020.
For how many years, there was less export of P than the average export of P?

A.

2

B.

1

C.

4

D.

3

ANSWER :

D. 3

54.
The cost price of an article is 800. After allowing a discount of 10%, a gain of 12.5% was made. The marked price of the article is:
A.
1300
B.
1200
C.
1000
D.
1100
ANSWER :
C. 1000
55.
The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
A.
2√3 cm
B.
5√3 cm
C.
4√3 cm
D.
3√3 cm
ANSWER :
D. 3√3 cm
56.
Shiva's monthly salary is Rs.75,000. He spends Rs.12,000 on household items, Rs.14,000 on LIC and mutual funds, Rs.15,000 on his children's education, and keeps Rs.10,000 for miscellaneous expenses. His savings are Rs.21,000 per month and he donates the rest of the amount to an orphanage. The percentage of his income that he donates is:
A.
3%
B.
6%
C.
8%
D.
4%
ANSWER :
D. 4%
57.

The following line graph displays the ratio of exports to imports (in terms of money in ₹ crores) of company A from 2010 to 2015.
In how many years, the export of company A was more than the company's import?

A.

Four

B.

Two

C.

Six

D.

Three

ANSWER :

A. Four

58.

If tan40° = α, then find
\(
\frac{\tan 320^\circ - \tan 310^\circ}{1 + \tan 320^\circ \cdot \tan 310^\circ}
\)

A.

\(
\frac{1 - \alpha^2}{\alpha}
\)

B.

\(
\frac{1 + \alpha^2}{2\alpha}
\)

C.

\(
\frac{1 - \alpha^2}{2\alpha}
\)

D.

\(
\frac{1 + \alpha^2}{\alpha}
\)

ANSWER :

C. \(
\frac{1 - \alpha^2}{2\alpha}
\)

59.

The table given below shows the foreign trade by two countries in 5 different years.

Years
Country
L M
Y1 250 125
Y2 230 185
Y3 155 275
Y4 145 255
Y5 115 170

What is the total foreign trade by country M in all the 5 years?

A.

1010

B.

1215

C.

505

D.

1005

ANSWER :

A. 1010

60.
A train travels at a speed of 18 m/s in the first 5 minutes, covers 7.5 km in the next 10 minutes and covers 12 km in another 10 minutes. What is its average speed (in km/h, rounded off to 1 decimal place) for the entire journey?
A.
59.8
B.
71.2
C.
45.7
D.
64.61
ANSWER :
A. 59.8