SSC CGL 2024-19.09.2024-1 SSC Question Paper

SSC CGL 2024 Question Papers

SSC CGL 2024-19.09.2024-1 SSC Questions

61.
If SinA+CosA=√3, then find the value of tanA+CotA+2SinACosA
A.
6
B.
2
C.
1
D.
3
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ANSWER :
D. 3
62.
Successive discounts of 10% and 20% are given on the purchase of a purse. If the marked price of the purse is ₹2,250, find the selling price.
A.
₹1320
B.
₹1620
C.
₹1290
D.
₹1520
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ANSWER :
B. ₹1620
63.
The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 4 : 3 : 2 : 1. When the pieces were sold, the merchant got ₹63,000 less than that of one piece. Find the original price of the diamond.
A.
₹86000
B.
₹80000
C.
₹90000
D.
₹75000
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ANSWER :
C. ₹90000
64.
A vendor started selling vegetables at ₹10 per kg, but couldn’t find buyers at this rate. So he reduced the price to ₹7.2 per kg, but uses a faulty weight of 900 g instead of 1 kg. Find the percentage change in the actual price.
A.
10%
B.
15%
C.
20%
D.
25%
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ANSWER :
C. 20%
65.
The cost of tomatoes per kg is increased by 300%. A housewife reduces her consumption of tomatoes by 70%. By what percentage does her expenditure on tomatoes increase or decrease?
A.
Decreases, 30%
B.
Decreases, 20%
C.
Increases, 30%
D.
Increases, 20%
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ANSWER :
D. Increases, 20%
66.
AB is a chord of length 32 cm of a circle of radius 20 cm, the tangents at A and B intersect at a point T. Find length TA (rounded off to two digits after decimal).
A.
36.50 cm
B.
21.33 cm
C.
26.67 cm
D.
19.93 cm
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ANSWER :
C. 26.67 cm
67.
What is the value of
A.
1/3
B.
1/4
C.
1/6
D.
1/2
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ANSWER :
D. 1/2
68.
Pipe X can fill a tank in 9 hours and Pipe Y can fill it in 21 hours. If they are opened on alternate hours and Pipe X is opened first, in how many hours shall the tank be full?
A.
10(3/7)
B.
12(3/7)
C.
9(3/7)
D.
11(3/7)
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ANSWER :
B. 12(3/7)
69.
P, Q and R are the three angles of a triangle. If P − Q = 20° and Q − R = 26°, then ∠P is equal to:
A.
52°
B.
46°
C.
92°
D.
82°
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ANSWER :
D. 82°
70.
Aman invested a sum of money in scheme A at the rate of 8% p.a. for a period of 5 years on simple interest. He invested four times of the sum of scheme A in scheme B at the rate of 5% p.a. for 7 years on simple interest. He received a total interest amount of ₹1,620. How much (in ₹) did he invest in scheme B?
A.
2400
B.
900
C.
3200
D.
3600
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ANSWER :
D. 3600