SSC CHSL 2023-11.08.2023-4 SSC Question Paper

SSC CHSL 2023-11.08.2023-4 SSC Questions

51.
Section : Quantitative Aptitude
If sinθ + tanθ = p and tanθ - sinθ = q, then which of the relations satisfies for given values of p and q?
A.
p² − q² = 4√pq
B.
p² − q² = 8√pq
C.
p² + q² = 4√pq
D.
p² + q² = 4pq
ANSWER :
A. p² − q² = 4√pq
52.
A fruit seller buys 480 bananas for ₹1,200. Some of these bananas are rotten and hence, they are thrown away. He sells the remaining bananas at ₹3.5 each and makes a profit of ₹396. What is the percentage of bananas thrown away?
A.
6%
B.
4.5%
C.
5%
D.
4%
ANSWER :
C. 5%
53.
On an item having a marked price of ₹500, Ravi was offered successive discounts of 36% and 5%, respectively, while Prabhat was offered a single discount of 40%. Who paid more for the item and by how much?
A.
Ravi, ₹4
B.
Prabhat, ₹5
C.
Ravi, ₹5
D.
Prabhat, ₹4
ANSWER :
A. Ravi, ₹4
54.
If θ is an acute angle and sinθ = , then what is the value of tanθ?
ANSWER :
C. undefined
55.
The simple interest on a sum of money in 6 years at the rate of 15% per annum is ₹1,440 less than the simple interest accrued on the same sum in 9 years at 18% per annum. What is the sum of money (in ₹)?
A.
1800
B.
2000
C.
2700
D.
2400
ANSWER :
B. 2000
56.
Simplify the given expression.
A.
9
B.
2
C.
4
D.
6
ANSWER :
D. 6
57.
The remainder of the term 9 + 92 + … + 9(2n+1) when divided by 6 is:
A.
1
B.
4
C.
2
D.
3
ANSWER :
D. 3
58.
If a − b = 9 and ab = 20, then a² + b² :
A.
111
B.
115
C.
121
D.
118
ANSWER :
C. 121
59.
A metallic sphere of radius 21 cm is melted and then recast into smaller cones each with a radius of 7 cm, and a height of 3 cm. Find the number of cones obtained.
A.
225
B.
325
C.
522
D.
252
ANSWER :
D. 252
60.
An item was sold at ₹5,474 after two successive discounts of 12.5% and 8% were offered on its Marked Price. What was the Marked Price (in ₹) of the item?
A.
6750
B.
7000
C.
6800
D.
6600
ANSWER :
C. 6800