SSC CGL 2024-12.09.2024-2 SSC Question Paper

SSC CGL 2024-12.09.2024-2 SSC Questions

61.

If 7 tan θ = 3, then what is the value of \(\frac{7\sin\theta + 5\cos\theta}{7\sin\theta - 2\cos\theta}\)

A.

7

B.

5

C.

8

D.

6

ANSWER :

C. 8

62.

The given pie chart shows the expenditure by the state government on various sports during a particular year.

If the total mount spent on tennis and football is Rs.1,45,000. Then the total amount spent on all the given sports is:

A.

3,10,000

B.

4,50,000

C.

5,00,000

D.

4,10,000

ANSWER :

C. 5,00,000

63.

The gien pie chart shows the percentage of distribution of 20,000 employees in a company.
Study the given chart and answer the question that follows.

Percentage distribution of employees in different departments of a company.

If 30% of the employees in department D are females, then how many male employees are there in that department?

A.

4200

B.

4500

C.

5000

D.

4000

ANSWER :

A. 4200

64.
In triangle ABC, the length of side BC is 2 cm less than twice the length of side AB. The length of side AC exceeds the length of side AB by 10 cm. The perimeter of the triangle is 40 cm. Determine the length (in cm) of the smallest side of the triangle.
A.
12
B.
14
C.
10
D.
8
ANSWER :
D. 8
65.

If Cot4Φ - Cot2Φ =1, then what is the value of Cos4Φ + Cos2Φ

A.

2

B.

1

C.

\(\frac{1}{\sqrt{3}}\)

D.

\(\frac{3}{2}\)

ANSWER :

B. 1

66.
The average of the squares of the first 46 natural numbers is
A.
729.5
B.
728.5
C.
727.5
D.
730.5
ANSWER :
B. 728.5
67.

Find the gain percentage, given that Siddhi sold her scooter for Rs.24,318 gaining \(\frac{1}{6}\)th of the selling price

A.

20%

B.

35%

C.

25%

D.

5%

ANSWER :

A. 20%

68.

For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2a)y = 6

A.

a = -1, b = -1

B.

a = -1, b = 1

C.

a = 1, b = -1

D.

a = 1, b = 1

ANSWER :

C. a = 1, b = -1

69.
Which of the following numbers is NOT divisible by 11?
A.
109153
B.
5445
C.
128041
D.
80124
ANSWER :
C. 128041
70.

if m+n= 24, then (m-16)3+ (n-8)3 is

A.

0

B.

40

C.

576

D.

320

ANSWER :

A. 0