SSC CHSL 2023-14.08.2023-1 SSC Question Paper

SSC CHSL 2023-14.08.2023-1 SSC Questions

51.
Section : Quantitative Aptitude
In ΔXYZ, L and M are the middle points of the sides XY and XZ, respectively. N is a point on the segment LM such that LN : NM = 1 : 2. If LN = 5 cm, then YZ is equal to:
A.
30 cm
B.
24 cm
C.
28 cm
D.
26 cm
ANSWER :
A. 30 cm
52.
If θ be an acute angle and tanθ + cotθ = 2, then the value of 2 tan²θ + cot²θ + tan4θ cotθ4θ is:
A.
4
B.
2
C.
3
D.
6
ANSWER :
A. 4
53.
If cosec A + cot A = 7, then cosec A is equal to:
ANSWER :
C. undefined
54.
In right angled triangle ABC, if ∠A = 30°, find the value of 3 sin A − 4 sin3 A.
A.
2
B.
−1
C.
−2
D.
1
ANSWER :
D. 1
55.
A money lender lent ₹30,000 in two parts, one at the rate of 8% and the other at 9%. If the total annual simple interest on the amount is ₹2,650, then what is the amount of money lent at the rate of 8%?
A.
6000
B.
5000
C.
4500
D.
5500
ANSWER :
B. 5000
56.
The number of patients in four different categories in three hospitals A, B and C are given below.
The total number of patients in three hospitals A, B and C, respectively, are:
A.
12, 14, 12
B.
12, 12, 14
C.
14, 12, 12
D.
14, 13, 12
ANSWER :
C. 14, 12, 12
57.
A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, C work together, then in how many days will they complete the work?
A.
10
B.
8
C.
4
D.
15
ANSWER :
C. 4
58.
Amol brought 50 kg of rice at a discount of 15% on the marked price. Fo purchasing bulk quantity, he was given 5 kg of wheat ( the marked price of which was 60% of the marked price of rice) free of cost. Had the retailer sold both items at their marked price to his other customers, then approximately what would be the profit percentage that the shopkeeper could earn?
A.
24.7%
B.
25.2%
C.
22.8%
D.
23.5%
ANSWER :
A. 24.7%
59.
Reenu spends 25% of her income on food, 15% on children's books and 75% of the remaining income on uniform. What is the percentage of income she is left with?
A.
35%
B.
20%
C.
15%
D.
19%
ANSWER :
C. 15%
60.
The marked price of a book is ₹250 and it was sold at a discount of 12%. The selling price of the book is:
A.
230
B.
234
C.
220
D.
225
ANSWER :
C. 220