SSC CGL 2021-19.04.2022-1 SSC Question Paper

SSC CGL 2021-19.04.2022-1 SSC Questions

51.
Quantitative Aptitude
If x + y + z = 7, xy + yz + zx = 8, then what is the value of x3+ y3 + z3 - 3xyz?
A.
200
B.
150
C.
125
D.
175
ANSWER :
D. 175
52.
A sum of ₹18,000 becomes ₹21,780 after 2 years on compound interest compounded annually. What will be the compound interest (in ₹) on the same sum for the same period if the rate of interest increases by 5%?
A.
1845
B.
4670
C.
5805
D.
5500
ANSWER :
C. 5805
53.
A invested 30% more than B. B invested 40% less than C, who invested ₹8,000. The average of the total amount invested by all of them together (to the nearest ₹) is:
A.
6347
B.
6417
C.
6215
D.
6143
ANSWER :
A. 6347
54.
If a³ + b³ = 218 and a + b = 2, then the value of √(1 - ab) is:
A.
5
B.
3
C.
4
D.
6
ANSWER :
D. 6
55.
From the body of a solid cube of edge 7 cm, a solid sphere is removed. The volume of the remaining solid was found to be 163(1/3) cm³. What is the diameter (in cm) of the sphere? (Take π = 22/7)
A.
10
B.
7
C.
5
D.
8
ANSWER :
B. 7
56.
A takes 3 hours more than B to walk 'd' km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require to walk 'd' km?
A.
5
B.
9
C.
8
D.
4
ANSWER :
C. 8
57.
The length of the shadow on the ground of a tall tree of height 30 m is 10√3 m. What is the angle (in degrees) of elevation of the sun?
A.
60°
B.
15°
C.
30°
D.
45°
ANSWER :
A. 60°
58.
A shopkeeper offers his customers a discount of 10%. On an item marked at a price of ₹400, which was a little damaged, he offered additional discount of 10%. At what price (in ₹) is the item available to customers?
A.
340
B.
324
C.
320
D.
300
ANSWER :
B. 324
59.
The profit earned by selling an article for ₹832 is equal to the loss incurred when the article is sold for ₹448. What should be the selling price (in ₹) to make a profit of 10%?
A.
750
B.
715
C.
640
D.
704
ANSWER :
D. 704
60.

In the following figure, MN is a tangent to a circle with centre O at point A. If BC is a diameter and ∠ABC = 42°, then find the measure of ∠MAB.

A.

84°

B.

48°

C.

42°

D.

45°

ANSWER :

B. 48°