SSC CGL 2021-13.04.2022-3 SSC Question Paper

SSC CGL 2021-13.04.2022-3 SSC Questions

51.
Quantitative Aptitude
A person travels 5x distance at a speed of 5 kmph, x distance at a speed of 5 kmph, ad 4x distance at a speed of 6 kmph. and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?
A.
8
B.
10
C.
9
D.
12
ANSWER :
B. 10
52.
Let x cm2 be the surface area and y cm3 be the volume of a sobere such that y = 14x. What is the radius (in cm) of the sphere?
A.
102
B.
42
C.
51
D.
68
ANSWER :
B. 42
53.
The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28th number is 67. If the 26th and 27th numbers are excluded, then what is the average of the remaining aumbers?
A.
51.5
B.
50.4
C.
50
D.
51
ANSWER :
C. 50
54.
What is the least number which when decreased by 7 is divisible by 15, 24, 28 and 32?
A.
10097
B.
10087
C.
10067
D.
10077
ANSWER :
B. 10087
55.

If x+y+z=2, xy + yz +zx= -11, and xyz = -12, then what is the value of x3 + y3+ z3?

A.

36

B.

38

C.

40

D.

42

ANSWER :

B. 38

56.

Study the given bar graph and answer the question that follows.
The bar graph shows ibe exports of cars of (type A abd B (in Rs. millions) from 2014 to 2018.
What is the ratio of the total exports of cars of type A in 2016 and 2018 to the total exports of cars of type B in 2015 and 2017?

A.

13:12

B.

10:9

C.

5:4

D.

23:21

ANSWER :

D. 23:21

57.
What is the value of p, if 25(3 + 4p) ÷ 12 of 5 - 3 × 8 = 6?
A.
72
B.
69
C.
15(1/3)
D.
17(1/4)
ANSWER :
D. 17(1/4)
58.
A, B and C start a business. A invests 33(1/3)% of the total capital, B invests 25% of the remaining, and C invests the rest. If the total profit at the end of the year is Rs.1,86,000, then A's share of the profit (in ₹) is:
A.
62000
B.
64000
C.
61000
D.
59000
ANSWER :
A. 62000
59.
If sin²θ - cos²θ - 3sinθ + 2 = 0, 0° < θ < 90°, then what is the value of 1 + secθ + tanθ?
A.
-1 + √3
B.
-1 - √3
C.
1 + √3
D.
1 - √3
ANSWER :
C. 1 + √3
60.
The base of a triangle is increased by 40%. By what percentage (correct to two decimal places) should its height be increased so that the area increases by 60%?
A.
14.29%
B.
20.01%
C.
15.54%
D.
18.62%
ANSWER :
A. 14.29%