SSC CGL 2021-21.04.2022-2 SSC Question Paper

SSC CGL 2021 Question Papers

SSC CGL 2021-21.04.2022-2 SSC Questions

51.
Quantitative Aptitude
A tyre has two punctures. The first puncture alone would have made the tyre flat in 45 minutes, and the second puncture alone would have done it in 90 minutes. If air leaks out at a constant rate, then how long (in minutes) does it take for both the punctures together to make the tyre flat?
A.
30
B.
15
C.
40
D.
45
😑 View Answer Rough Work
ANSWER :
A. 30
52.
If cosec A = sec B, where A and B are acute angles, then what is the value of (A + B)?
A.
0°
B.
135°
C.
90°
D.
45°
😑 View Answer Rough Work
ANSWER :
C. 90°
53.
In ∆ABC, the perpendiculars drawn from A, B and C meet the opposite sides at points D, E and F, respectively. AD, BE and CF intersect at point P. If ∠EPD = 110° and the bisectors of ∠A and ∠B meet at point Q, then ∠AQB =
A.
115°
B.
110°
C.
135°
D.
125°
😑 View Answer Rough Work
ANSWER :
D. 125°
54.

In the following figure, AD bisects angle ∠BAC. Find the length (in cm) of BD.

A.

4

B.

5

C.

9

D.

6

😑 View Answer Rough Work
ANSWER :

A. 4

55.

A solid cone of radius 7 cm and height 7 cm was melted along with two solid spheres of radius 7 cm each to form a solid cylinder of radius 7 cm. What is the curved surface area (in cm²) of the cylinder? \( \text{(Use } \pi = \frac{22}{7} \text{)} \)

A.

924

B.

880

C.

2196

D.

482

😑 View Answer Rough Work
ANSWER :

A. 924

56.

What is the compound interest (in ₹) on a sum of ₹62,500 for 2 years at 12% p.a., if the interest is compounded 8-monthly?

A.

18,342

B.

16,232

C.

13,428

D.

16,548

😑 View Answer Rough Work
ANSWER :

B. 16,232

57.

The selling price of a mobile phone is ₹59,620 and it was sold at 8.4% profit. The cost price (in ₹) of the mobile phone is

A.

52,000

B.

55,000

C.

45,000

D.

50,000

😑 View Answer Rough Work
ANSWER :

B. 55,000

58.
If a² + b² = 65 and ab = 8, a > b > 0, then find the value of a² − b².
A.
72
B.
60
C.
65
D.
63
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ANSWER :
D. 63
59.
AB is the diameter of a circle with centre O. C and D are two points on the circle on either side of AB, such that ∠CAB = 52° and ∠ABD = 47°. What is the difference (in degrees) between the measures of ∠CAD and ∠CBD?
A.
10
B.
15
C.
25
D.
20
😑 View Answer Rough Work
ANSWER :
A. 10
60.
What is the sum of the numbers between 400 and 500 such that when they are divided by 6, 12 and 16, it leaves no remainder?
A.
480
B.
1024
C.
960
D.
912
😑 View Answer Rough Work
ANSWER :
D. 912