SSC CGL 2024-12.09.2024-3 SSC Question Paper

SSC CGL 2024-12.09.2024-3 SSC Questions

61.

Two pipes A and B can fill a tank in \(1 \tfrac{1}{3}\) hours and 2 hours respectively, If both the pipes are opened simultaneously, in how much time will it be filled.

A.

\(1 \tfrac{1}{4}\ \text{hours}\)

B.

\(55\ \text{minutes}\)

C.

\(48\ \text{minutes}\)

D.

\(1 \tfrac{2}{3}\ \text{hours}\)

ANSWER :

C. \(48\ \text{minutes}\)

62.

If a2+b2+c2=2(a+c-1), then the value of a3+b3+c3=?

A.

0

B.

2

C.

4

D.

1

ANSWER :

B. 2

63.
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along with the current in 10 minutes. How long will it take to go 6 km in stationary water?
A.
1 hr 30 min
B.
1 hr 15 min
C.
2 hr 30 min
D.
1 hr 45 min
ANSWER :
A. 1 hr 30 min
64.
Find the values of x, y and z, so as to satisfy the equations given below:
5x – 3y + 7z = 22; 3x – 5y – 2z = – 46; 2x – 2y + 5z = 24
A.
x = – 5, y = 3, z = – 8
B.
x = 5, y = – 8, z = 3
C.
x = – 5, y = 3, z = 8
D.
x = – 5, y = – 3, z = 8
ANSWER :
C. x = – 5, y = 3, z = 8
65.

In 2010, a company's total expenditure was categorised under different expense heads, and their % distribution is illustrated in the bar graph shown below.

The total amount of expenditure of the company is _______ times that of expenditure on R&D.

A.

20

B.

38

C.

32

D.

28

ANSWER :

A. 20

66.

The circumferance of the base of a conical tent of height 8m is 32πm. Find its curved surface area.

A.

164\(\sqrt{5}\)πm2

B.

162\(\sqrt{3}\)πm2

C.

132\(\sqrt{3}\)πm2

D.

128\(\sqrt{5}\)πm2

ANSWER :

D. 128\(\sqrt{5}\)πm2

67.

Find the exact value of sin150°

A.

1.5

B.

0.5

C.

0.75

D.

-0.5

ANSWER :

B. 0.5

68.
The mean proportional of 2 and 32 is _____.
A.
16
B.
8
C.
12
D.
6
ANSWER :
B. 8
69.
The profit gained on selling a certain product is 320% of the cost. If the cost increases by 10% but the selling price remains constant, then what percentage of the selling price is the profit (correct to one decimal place)?
A.
70.2%
B.
73.8%
C.
75.7%
D.
63.8%
ANSWER :
B. 73.8%
70.
A circular arc whose radius is 12 cm makes an angle of 30° at the centre. Find the perimeter (in cm) of the sector formed. (Use π = 3.14)
A.
32.38
B.
30.28
C.
28.64
D.
26.24
ANSWER :
B. 30.28