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.5625 for it, houc much did A pay?
A.
5000
B.
4800
C.
4500
D.
5100
😑 View Answer Rough Work
ANSWER :
A. 5000
52.

What is the value of :

\[ \frac{\sin(23^\circ)\cos(67^\circ) + \sec(52^\circ)\sin(38^\circ) + \cos(23^\circ)\sin(67^\circ) + \operatorname{cosec}(52^\circ)\cos(38^\circ)} {\operatorname{cosec}^2(20^\circ) - \tan^2(70^\circ)} \]
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 24 km upstream than to cover the same distance downstream. If the speed is increased by 2 km/h, how much time will it take to go 39 km downstream and 30 km 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, B can finish it in 12 days. They worked together for 4 days, then A left. B finished the rest. 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 triangle ABC, points P, Q, R are on AB, BC, CA respectively. BQ = PQ and QC = QR. If ∠BAC = 75°, find ∠POR.
A.
40°
B.
30°
C.
50°
D.
75°
😑 View Answer Rough Work
ANSWER :
B. 30°
60.
If 4sin²θ - 3(1 + cosθ), 0° < θ < 90°, find (2tanθ + 4sinθ - secθ):
A.
3√15 - 4
B.
15√3 - 4
C.
15√3 + 3
D.
4√15 - 3
😑 View Answer Rough Work
ANSWER :
A. 3√15 - 4