SSC CGL 2024-23.09.2024-3 SSC Question Paper

SSC CGL 2024 Question Papers

SSC CGL 2024-23.09.2024-3 SSC Questions

51.

Quantitative Aptitude
If \( \sin A - \cos A = \frac{\sqrt{3} - \sqrt{2}}{2} \), then the value of \( \sin A \cdot \cos A \) is:

A.

\(\frac{2\sqrt{3} - 1}{4}\)

B.

\(\frac{2\sqrt{2} - 1}{8}\)

C.

\(\frac{2\sqrt{6} - 1}{8}\)

D.

\(\frac{3\sqrt{2} - 1}{4}\)

😑 View Answer Rough Work
ANSWER :

C. \(\frac{2\sqrt{6} - 1}{8}\)

52.

The following bar chart shows the year wise percentage hike in the fuel price with respect to the previous year.

In how many years did the fuel price not rise?

A.

0

B.

1

C.

2

D.

5

😑 View Answer Rough Work
ANSWER :

A. 0

53.
The least number which must be subtracted from 7278745 so as to obtain a sum that is divisible by 11 is:
A.
3
B.
1
C.
5
D.
2
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ANSWER :
B. 1
54.
A motorboat, whose speed in 15 km/h in still water goes 50 km downstream and comes back in a total of 7 hours 30 minutes. The speed of the stream (in km/h) is:
A.
9
B.
5
C.
11
D.
7
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ANSWER :
B. 5
55.
The length, breadth and height of a room is 15 m, 9 m, and 5 m, respectively. From each can of paint 40 square metre of area is painted. How many cans of paint will be needed to paint only the walls of the room?
A.
12
B.
6
C.
4
D.
8
😑 View Answer Rough Work
ANSWER :
B. 6
56.
The distance between the longest chord and the centre of a circle is:
A.
equal to zero unit
B.
equal to the diameter
C.
equal to the half of the radius
D.
equal to the radius
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ANSWER :
A. equal to zero unit
57.
The marked price of 55 items was equal to the cost price of 99 items. The selling price of 56 items was equal to the marked price of 35 items. Calculate the profit or loss percentage from the sale of each item.
A.
15% profit
B.
12.25% profit
C.
12.5% profit
D.
12.5% loss
😑 View Answer Rough Work
ANSWER :
C. 12.5% profit
58.
In an election between two candidates, P received 42% of the valid votes and Q won by 45,360 votes. 20% people did not cast their vote. If 10% of the votes cast were found invalid, what is the total number of votes registered in the poll booth?
A.
3,93,750
B.
3,59,000
C.
3,93,600
D.
3,53,790
😑 View Answer Rough Work
ANSWER :
A. 3,93,750
59.
Hema is 20 years old and her sister Neha is 30 years old. How many years ago were their ages in the ratio of 3 : 5?
A.
3
B.
2
C.
7
D.
5
😑 View Answer Rough Work
ANSWER :
D. 5
60.
AB is the chord of the circle with centre O. A line segment DOC originating from a point D on the circumference of the circle in major segment meets AB produced at C such that BC = OD. If angle BCO = 30°, then angle AOD is:
A.
30°
B.
90°
C.
60°
D.
80°
😑 View Answer Rough Work
ANSWER :
B. 90°