SSC CGL 2023-14.07.2023-3 SSC Question Paper

SSC CGL 2023-14.07.2023-3 SSC Questions

61.
A dealer professing to sell his goods at cost price uses 950 grams weight for 1 kg. His gain percentage is: (rounded off to two decimal places)
A.
5.35%
B.
5.26%
C.
5.86%
D.
5.96%
ANSWER :
B. 5.26%
62.
A trader allows a 20% trade discount and a 30% cash discount. If the list price is Rs. 1,200, then the selling price (in Rs.) is:
A.
627
B.
720
C.
762
D.
672
ANSWER :
D. 672
63.

If \(
x + \frac{1}{x} = 7,
\) then the value of \(
x^{6} + \frac{1}{x^{6}}
\) is:

A.

113682

B.

103682

C.

103882

D.

103862

ANSWER :

B. 103682

64.
The current ages of Sudhir and Ashish are in the ratio 5 ∶ 7. Twelve years ago, the ratio of their ages was 1 ∶ 2. What will be the age of Sudhir after five years from now?
A.
20 years
B.
25 years
C.
33 years
D.
28 years
ANSWER :
B. 25 years
65.
A man invests a total sum of Rs. 10,000 in a company. A part of the sum was invested at 10% and the rest at 15% SI. If total interest in 2 years is Rs. 2,400, the amount invested at 15% is:
A.
Rs. 8,000
B.
Rs. 5,000
C.
Rs. 4,000
D.
Rs. 6,000
ANSWER :
B. Rs. 5,000
66.
AB is the diameter of a circle with centre O. P be a point on it. If ∠AOP = 95°, then ∠OBP is:
A.
57.5°
B.
45.5°
C.
47.5°
D.
55.5°
ANSWER :
C. 47.5°
67.
If cos β / sec α = 15 and sin β / sec α= 16, then the value of sin 2β is:
A.
256/481
B.
- 256/481
C.
481/256
D.
- 481/256
ANSWER :
A. 256/481
68.
What is the value of sin 30° + cos 30° + tan 30°
A.
(5 + √3) / 2√3
B.
(5 − √3) / 2√3
C.
(5 + √3) / √3
D.
(5 − √3) / √3
ANSWER :
A. (5 + √3) / 2√3
69.
If sec²θ + tan²θ = 25/18, then the value of sec⁴θ − tan⁴θ is:
A.
18/25
B.
25/12
C.
25/9
D.
25/18
ANSWER :
D. 25/18
70.
The volume of a cone is 73920 cm³. If the height is 160 cm, find the diameter of its base.
A.
21 cm
B.
40 cm
C.
22 cm
D.
42 cm
ANSWER :
D. 42 cm