SSC CGL 2021-11.04.2022-1 SSC Question Paper

SSC CGL 2021 Question Papers

SSC CGL 2021-11.04.2022-1 SSC Questions

51.

Quantitative Aptitude
A sold a mobile phoen to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid Rs.5,625 for it, how much did A pay (in ₹) for the phone?

A.

5,000

B.

4,800

C.

4,500

D.

5,100

😑 View Answer Rough Work
ANSWER :

A. 5,000

52.

The value of 

\[ \frac{\sin(23^\circ)\cos(67^\circ) + \sec(52^\circ)\sin(38^\circ) + \cos(23^\circ)\sin(67^\circ) + \operatorname{cosec}(52^\circ)\cos(38^\circ)} {\operatorname{cosec}^2(20^\circ) - \tan^2(70^\circ)} \]


is :

A.

3

B.

4

C.

2

D.

0

😑 View Answer Rough Work
ANSWER :

A. 3

53.

A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2km/h, then how much time will it take to go 39km downstream and 30km upstream?

A.

2 h 40 m

B.

3 h 10 m

C.

3 h 40 m

D.

2 h 50 m

😑 View Answer Rough Work
ANSWER :

B. 3 h 10 m

54.
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 62°, find the measure of minor arc AC.
A.
56°
B.
62°
C.
28°
D.
31°
😑 View Answer Rough Work
ANSWER :
C. 28°
55.

A can finish a piece of work in 16 days and B can finish it in 12 days. They worked together for 4 days, then A left. B finished the remaining work. How many total days did B work to finish the work completely?

A.

6

B.

9

C.

4

D.

8

😑 View Answer Rough Work
ANSWER :

B. 9

56.
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is ?
A.
2
B.
6
C.
5
D.
4
😑 View Answer Rough Work
ANSWER :
D. 4
57.

If (x + 6y) = 8 and xy = 2, where x > 0, what is the value of (x3 + 216y3)?

A.

288

B.

224

C.

368

D.

476

😑 View Answer Rough Work
ANSWER :

B. 224

58.

The following graph shows export of cars of type A and B (in millions) from 2014 to 2018.

What is the ratio of total exports of type A cars in 2014 & 2017 to type B in 2015 & 2016?

A.

10:9

B.

5:6

C.

11:10

D.

3:2

😑 View Answer Rough Work
ANSWER :

B. 5:6

59.

In ΔABC, points P, Q, R are taken on AB, BC, CA respectively, such that BQ = PQ and QC = QR. If ∠BAC = 75°, what is the measure of ∠PQR (in degrees)?

A.

40°

B.

30°

C.

50°

D.

75°

😑 View Answer Rough Work
ANSWER :

B. 30°

60.

If 4sin²θ - 3(1 + cosθ), 0° < θ < 90°, then what is the value of (2tanθ + 4sinθ - secθ)?

A.

3\(\sqrt{15}\)- 4

B.

15\(\sqrt{3}\) - 4

C.

15\(\sqrt{3}\) + 3

D.

4\(\sqrt{15}\) - 3

😑 View Answer Rough Work
ANSWER :

A. 3\(\sqrt{15}\) - 4