SSC CGL 2021-20.04.2022-3 SSC Question Paper

SSC CGL 2021-20.04.2022-3 SSC Questions

51.
Quantitative Aptitude
If a + b + c = 6, a² + b² + c² = 32, and a³ + b³ + c³ = 189, then the value of 4abc is:
A.
12
B.
16
C.
9
D.
8
ANSWER :
A. 12
52.
If 5√3 + √75 = 17.32, then the value of 14√3 + √108 is:
A.
32.46
B.
35.64
C.
34.64
D.
33.86
ANSWER :
C. 34.64
53.

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
During which hour(s) is the number of cars passed less than the average number of cars passed from 7 am to 12 noon?

A.

6–7, 10–11, 11–12

B.

10–11, 11–12

C.

7–8, 8–9, 9–10

D.

6–7, 11–12

ANSWER :

A. 6–7, 10–11, 11–12

54.
A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 30% of the same work?
A.
24
B.
18
C.
21
D.
36
ANSWER :
B. 18
55.

The given bar graph shows the income and expenditure of a company over 5 years from 2014 to 2018. Stufy the bar graph and answer the question that follows.
What is the difference (in crores Rs.) between the expenditure for the year 2017 and 2018 taken together and the income for the years 2015 and 2016 taken together?

A.

15

B.

20

C.

18

D.

16

ANSWER :

B. 20

56.

The bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A,B,C,D,E.
What is the average number of youth in the five states?

A.

1200000

B.

1015000

C.

1025000

D.

1010000

ANSWER :

D. 1010000

57.

If 0° < θ < 90°, then what is the value of
\(
\left(\frac{1 - \cot \theta}{1 - \tan \theta}\right)^{2} + 1
\)

A.

cosec²θ

B.

sin²θ

C.

cos²θ

D.

sec⁻θ

ANSWER :

A. cosec²θ

58.
An article is sold at a certain price. If it is sold at 70% of this price, then there is a loss of 10%. What is the percentage profit, when it is sold at the original selling price?
A.
50/7%
B.
200/7%
C.
300/7%
D.
100/7%
ANSWER :
B. 200/7%
59.
While preparing the results of English of a class, the marks of one student got recorded as 95 in place of 57, as a result of which there was an increase in the average score by 0.95. How many students were there in the class?
A.
57
B.
37
C.
45
D.
40
ANSWER :
D. 40
60.
The length of the body diagonal of a cube is 8√3 cm. What is the volume (in cm³) of the cube?
A.
343
B.
216
C.
512
D.
729
ANSWER :
C. 512