SSC CGL 2021-18.04.2022-2 SSC Question Paper

SSC CGL 2021-18.04.2022-2 SSC Questions

51.

Quantitative Aptitude
The expression

\( (\cos^6 \theta + \sin^6 \theta - 1)(\tan^2 \theta + \cot^2 \theta + 2) + 1 \)
is equal to:
A.

1

B.

-2

C.

0

D.

-1

ANSWER :

B. -2

52.
A railway engine passes two bridges of lengths 400 m and 235 m in 100 secoads and 60 seconds, respectively. Twice the length of the railway engine (in m) is:
A.
24
B.
25
C.
12.5
D.
12
ANSWER :
B. 25
53.
The sides AB aud AC of △ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. 1f ∠A -=88*, then the measure of ∠P is:
A.
46°
B.
56°
C.
51°
D.
61°
ANSWER :
A. 46°
54.

The given graph shows the exports of cars of type A and B (in Rs.millions) from 2014 to 2018. Study the graph and answer the question that follows.
Exports of cars of Type A and Type B (in Rs.millions) during 2014 to 2018.

In which year are the exports of cars of type A Rs.20 million less more than average exports (per year) of cars of type B?

A.

2015

B.

2014

C.

2016

D.

2017

ANSWER :

C. 2016

55.

 if \( a^2 + b^2 + 49c^2 + 18 = 2(b - 28c - a) \) then the value of (a - b - 7c) is:

A.

4

B.

3

C.

2

D.

1

ANSWER :

C. 2

56.

Joseph deposited a total of Rs.52,500 in a bank in the names of his two daughters aged 15 years aod 16 years in such a way that they would get equal amounts when they become 18 years old. If the bank gives 10% compound interest compounded annually, then what is the amount (in ₹) that Joseph had deposited in the name of his younger daughter?

A.

25,500

B.

24,500

C.

25,000

D.

26,000

ANSWER :

C. 25,000

57.

The circumference of the base of a richt circular evlinder is 62.8 cm and its volume is 8792 cm3. What is the curved surface area (cm2 ) of the cylinder?\(\text{(Take } \pi = 3.14)\)


A.

1695.6

B.

1758.4

C.

1632.8

D.

1570.2

ANSWER :

B. 1758.4

58.
The average of eight consecutive odd numbers is 28. The sum of the smallest and the largest number is:
A.
45
B.
52
C.
48
D.
56
ANSWER :
D. 56
59.

In â–³ABC, AB = 7 cm, BC = 10 cm, and AC = 8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then \( \frac{DC}{4} \)
 is equal to (in cm):

A.

\( \frac{14}{3} \)

B.

\( \frac{4}{3} \)

C.

\( \frac{11}{3} \)

D.

\( \frac{7}{3} \)

ANSWER :

B.\( \frac{4}{3} \)

60.

The number of cars passing the road near a colony from 6am to 12 noon has been shown in the following histogram.
During which hour(s) is the number of cars passed more than the average number of cars passed from 6 am to 11 am?

A.

8-9 am, 9-10 am

B.

8-9 am

C.

7-8 am, 8-9 am, 9-10 am, 10-11 am

D.

7-8 am, 8-9 am, 9-10 am

ANSWER :

D. 7-8 am, 8-9 am, 9-10 am