SSC CGL 2023-20.07.2023-4 SSC Question Paper

SSC CGL 2023 Question Papers

SSC CGL 2023-20.07.2023-4 SSC Questions

61.
In a ΔABC, DE || BC, where D is a point on AB and E is a point on AC. If DE divides the area of ΔABC into two equal parts, then DB:AB is equal to:
A.
√2 : √3
B.
√2 : √2 + 1
C.
√2 + 1 : √2
D.
√2 - 1 : √2
😑 View Answer Rough Work
ANSWER :
D. √2 - 1 : √2
62.
Simplify:
[0.08 - (3.5 - 4.9 - (12.5 - 7.8 - 4.6))]
A.
1.58
B.
0.08
C.
2.58
D.
12.58
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ANSWER :
A. 1.58
63.
In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is θ, then tan θ is equal to:
A.
4/3
B.
5/3
C.
3/5
D.
5/4
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ANSWER :
A. 4/3
64.
The width of a rectangle is 2 m less than its length. If the perimeter of the rectangle is 68 m, then what is the length (in metres) of the rectangle?
A.
20
B.
18
C.
16
D.
17
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ANSWER :
B. 18
65.
Pipe A can fill a tank in 12 minutes; pipe B can fill it in 18 minutes, while pipe C can empty the full tank in 36 minutes. If all the pipes are opened simultaneously, how much time will it take to fill the empty tank completely?
A.
7 minutes 30 seconds
B.
10 minutes
C.
9 minutes
D.
6 minutes
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ANSWER :
C. 9 minutes
66.
A vertical pole of 28 m height casts a 19.2 m long shadow. At the same time, find the length of the shadow cast by another pole of 52.5 m height.
A.
36 m
B.
35 m
C.
40 m
D.
30 m
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ANSWER :
A. 36 m
67.

Find the value of
\(
\frac{\cos 41}{\sin 49} + \frac{\sin 51}{\cos 39}
\)

A.

4

B.

2

C.

3

D.

1

😑 View Answer Rough Work
ANSWER :

B. 2

68.
The cost price and selling price of rice are the same. Due to a faulty weighing machine, the seller earns a 15% profit. If Rs. x is the cost price of 1000 gm rice and the machine is changed which shows 1000 gm instead of 950 gm, what should be the selling price (in ₹) now to get the same percentage of profit?
A.
1.0295x
B.
1.0259x
C.
1.0925x
D.
1.0950x
😑 View Answer Rough Work
ANSWER :
C. 1.0925x
69.
The length, breadth and height of a cuboid are in the ratio 1:2:3. The length, breadth and height of the cuboid are increased by 200%, 300% and 300%, respectively. Then compared to the original volume, the increase in the volume of the cuboid will be:
A.
47 times
B.
26 times
C.
17 times
D.
15 times
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ANSWER :
A. 47 times
70.
A boat's speed in still water is 45 km/h, while the river is flowing at a speed of 15 km/h. The time taken to cover a certain distance upstream is 9 h more than the time taken to cover the same distance downstream. Find the distance (in km).
A.
540
B.
320
C.
480
D.
450
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ANSWER :
A. 540