SSC CGL 2024-13.09.2024-1 SSC Question Paper

SSC CGL 2024-13.09.2024-1 SSC Questions

51.

Quantitative Aptitude
If p(\(\sqrt{3}\)+cot30°)=tan360° - 2sin60°, then the value of p is:

A.

-1

B.

2√3

C.

1

D.

√3

ANSWER :

C. 1

52.

The given table shows the marks obtained by a student in class 9.

Subjects Marks (out of 100)
Social Science 93
Science 90
Hindi 90
English 95
Mathematics 78

What is the percentage of marks obtained by the student? 

A.

89.2%

B.

88.8%

C.

90%

D.

88%

ANSWER :

A. 89.2%

53.

One-quarter of a circular pizza of radius 21 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza?\((\text{Use } \pi = \frac{22}{7})\)

A.

99

B.

141

C.

128

D.

131

ANSWER :

B. 141

54.
A shopkeeper mixes two types of rice costing ₹250/5 kg and ₹280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg).
A.
32.5
B.
53.2
C.
52.3
D.
25.3
ANSWER :
B. 53.2
55.

The following table shows the sale (in lakh rupees) of six commodities in a provision store from August 2012 to October 2012.

Swipe →
Month/Commodity Dry Fruits Tea Pulses Sugar Flour Rice
August 27 24 45 48 55 42
September 32 15 34 42 33 23
October 25 30 42 47 49 27

The total combined sale of dry fruits, sugar and rice for the perios from August 2012 to October 2012 is what percentage (rounded off to the nearest whole number) of the total combined sale of tea, pulses and flour?

A.

94%

B.

98%

C.

95%

D.

96%

ANSWER :

D. 96%

56.

If \(\frac{1}{1 - \sin\theta} + \frac{1}{1 + \sin\theta}\) =4 Secθ, (0<θ<90), then the value of (cot θ + cosec θ) is ?

A.

\(\sqrt{3}\)

B.

\(\sqrt{6}\)

C.

\(\sqrt{2}\)

D.

\(\sqrt{5}\)

ANSWER :

A. \(\sqrt{3}\)

57.
In an election between R and S, R gets 110% of the votes of S and beats S by 770 votes. If there were no invalid votes, then the total number of votes polled is:
A.
17610
B.
17160
C.
16170
D.
16710
ANSWER :
C. 16170
58.
If 321y72 is a multiple of 6, where y is a digit, what is the least value of y?
A.
3
B.
0
C.
7
D.
2
ANSWER :
B. 0
59.

An article is sold at a profit of 250%. What is the ratio of its cost price to selling price?

A.

2:5

B.

5:2

C.

2:7

D.

7:2

ANSWER :

C. 2:7

60.
The solution of the following equations is:
5x + 4y - 8z = 1
7x - 9y + z = - 1
2x + 3y - 4z = 1
A.
x = - 1, y = 1, z = 1
B.
x = 1, y = 1, z = 1
C.
x = 1, y = - 1, z = 1
D.
x = 1, y = 1, z = - 1
ANSWER :
B. x = 1, y = 1, z = 1