SSC CGL 2024-09.09.2024-3 SSC Question Paper

SSC CGL 2024-09.09.2024-3 SSC Questions

61.

The mean proportional of 8a2 and \(\dfrac{18}{a^4}\) , where a is a positive number, is _______.

A.

\(\dfrac{12}{a^2}\)

B.

\(12a\)

C.

\(12a^2\)

D.

\(\dfrac{12}{a}\)

ANSWER :

D. \(\dfrac{12}{a}\)

62.

If \(\dfrac{\sec \alpha + \tan \alpha}{\sec \alpha - \tan \alpha} = \dfrac{7}{4}\)  then find the value of cosec α.

A.

\(\dfrac{1}{3}\)

B.

\(\dfrac{1}{11}\)

C.

\(\dfrac{11}{3}\)

D.

\(\dfrac{3}{11}\)

ANSWER :

C. \(\dfrac{11}{3}\)

63.
Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:
A.
10%
B.
11%
C.
9%
D.
8%
ANSWER :
C. 9%
64.

If the length, breadth, and height of a cuboid is 8 cm, 4 cm, and 6 cm, respectively, then the volume (in cm3) of the cuboid is:

A.

218

B.

192

C.

96

D.

172

ANSWER :

B. 192

65.

The following table shows the sale (in thousands) of different types of helmets by a shop over the given years. 

Swipe →
Type of Helmet/Year 1998 1999 2000 2001 2002
A 78 45 56 63 88
B 58 64 78 60 68
C 46 54 58 64 68
D 76 65 72 78 82
E 87 66 74 80 84

What was the percentage increase in the sale of Helmets C in 2002 as compared to that in 1999?

A.

25.93%

B.

26.39%

C.

28.26%

D.

27.62%

ANSWER :

A. 25.93%

66.

Study the given graph and answer the question that follows.
The graph shows the production of refrigerators by three companies in 2018.

The refrigerators produced by company C form what percentage of the total production?

A.

34.35%

B.

32.56%

C.

30.25%

D.

31.25%

ANSWER :

D. 31.25%

67.
What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30°?
(Use π = 3.14)
A.
20.4
B.
35.7
C.
82.8
D.
25.2
ANSWER :
D. 25.2
68.
If 7845K854 is divisible by 11, then what is the value of K?
A.
6
B.
9
C.
7
D.
8
ANSWER :
B. 9
69.

If A is an acute angle, which of the following is equal to \(\dfrac{\sin A}{1 + \cos A} \, ?\)

A.

\(\dfrac{1 - \cos A}{\sin A}\)

B.

\(\dfrac{1 + \cos A}{\sin A}\)

C.

\(\dfrac{1 - \sin A}{\cos A}\)

D.

\(\dfrac{1 + \sin A}{\cos A}\)

ANSWER :

A. \(\dfrac{1 - \cos A}{\sin A}\)

70.
In a ΔPQR, the bisectors of∠Q and∠R meet at point O, inside the triangle. If∠QOR = 107°, then the measure of∠P is:
A.
40°
B.
23°
C.
17°
D.
34°
ANSWER :
D. 34°