SSC CGL 2022-13.12.2022-2 SSC Question Paper

SSC CGL 2022-13.12.2022-2 SSC Questions

51.

Quantitative Aptitude
If a = 45° and b = 15°, what is the value of
\(
\frac{\cos(a - b) - \cos(a + b)}{\cos(a - b) + \cos(a + b)}
\)

A.

2 - 2√2

B.

3 - √6

C.

3 - √2

D.

2 - √3

ANSWER :

D. 2 - √3

52.

The tbale shows sales turnover pf 5 companies.

Company Sales turnover
A 120
B 80
C 200
D 250
E 150

The sales turnover of company A is what percent of the sales turnover of company C?

A.

60 percent

B.

50 percent

C.

40 percent

D.

75 percent

ANSWER :

A. 60 percent

53.
A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.
A.
28 cm
B.
23 cm
C.
24 cm
D.
21 cm
ANSWER :
C. 24 cm
54.
Choose the option in which the numbers are in correct ascending order.
A.
4/5, 2/3, 1/11 and 2/9
B.
1/11, 2/9, 2/3 and 4/5
C.
2/9, 1/11, 4/5 and 2/3
D.
2/3, 4/5, 1/11 and 2/9
ANSWER :
B. 1/11, 2/9, 2/3 and 4/5
55.
The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:
A.
10 cm
B.
13 cm
C.
12 cm
D.
24 cm
ANSWER :
B. 13 cm
56.
A student walked 6 km from his house to reach the metro station, then boarded a metro that has an average speed of 60km/h, and reached the destination. It took 3 hours for the entire journey. If the average speed of the entire journey is 32 km/h, then the speed of walking is
A.
1.5 km/h
B.
3 km/h
C.
2 km/h
D.
4 km/h
ANSWER :
D. 4 km/h
57.
A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?
A.
50 days
B.
40 days
C.
10 days
D.
15 days
ANSWER :
B. 40 days
58.
A sum of Rs.10 is lent by a child to his friend to be returned in 11 monthly instalments of Rs. 1 each, the interest being simple. The rate of interest is:
A.
11(9/11)%
B.
21(9/11)%
C.
10(2/11)%
D.
9(1/11)%
ANSWER :
B. 21(9/11)%
59.
The sum of two numbers is 680. If the bigger number is decreased by 15% and the smaller number is increased by 15%, then the resultant numbers are equal. Find the smaller number.
A.
307
B.
285
C.
291
D.
304
ANSWER :
C. 291
60.
If a - b = 8 and ab = 9, then the value of a + b is
A.
±9
B.
±7
C.
±8
D.
±10
ANSWER :
D. ±10