SSC CGL 2023-21.07.2023-1 SSC Question Paper

SSC CGL 2023 Question Papers

SSC CGL 2023-21.07.2023-1 SSC Questions

51.
Quantitative Aptitude
Anuj and Anup have to travel from a place A to a place B in their respective cars. Anu s driving at 70 km/h, and takes 3 halts of 10 minutes each, while Anup is driving at 80 km/h, and takes 4 halts of 15 minutes each. The time taken by Anup to reach Place B, if Anuj takes 8.5 hours, is:
A.
8 hours
B.
7 hours
C.
4 hours
D.
6 hours
😑 View Answer Rough Work
ANSWER :
A. 8 hours
52.

In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. If CD = 8 cm, PD = 10 cm and PB = 8 cm, find AB.

A.

14.5 cm

B.

22.5 cm

C.

12 cm

D.

8 cm

😑 View Answer Rough Work
ANSWER :

A. 14.5 cm

53.
If secA + tanA = 3, then cosA is equal to:
A.
4/3
B.
3/5
C.
3/4
D.
5/3
😑 View Answer Rough Work
ANSWER :
B. 3/5
54.
If x + y = 7 and xy = 19, then calculate the value of x² + y².
A.
17
B.
12
C.
11
D.
19
😑 View Answer Rough Work
ANSWER :
C. 11
55.
Which of the following options is NOT a correct trigonometric identity?
A.
1 + cot²θ = cosec²θ
B.
1 + tan²θ = sec²θ
C.
1 - sin²θ = cos²θ
D.
cos²θ - sin²θ = 1
😑 View Answer Rough Work
ANSWER :
D. cos²θ - sin²θ = 1
56.
Tham m, the utals integreathe cube, ithe dimensions of the cubolid are (8 m
A.
316 m²
B.
288 m²
C.
324 m²
D.
384 m²
😑 View Answer Rough Work
ANSWER :
D. 384 m²
57.
Simplify the given expression.
(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3а) (4a - 5b)
A.
8a² - 10ab
B.
8a² + 10ab
C.
10a² - 14ab
D.
10a² - 4ab
😑 View Answer Rough Work
ANSWER :
C. 10a² - 14ab
58.
If (a + b + c) = 12, and (ab + bc + ca) = 47, find the value of (a3 + b3 + c3 - 3abc).
A.
24
B.
36
C.
48
D.
42
😑 View Answer Rough Work
ANSWER :
B. 36
59.
Find the value of the given expression:
10 ÷ 5 × 1 + 3 - [8 - {5 - (7 - 7 - 9)}]
A.
11
B.
10
C.
9
D.
8
😑 View Answer Rough Work
ANSWER :
A. 11
60.
What is the value of sec²θ - cot²(90° - θ)?
A.
2
B.
1
C.
-1
D.
0
😑 View Answer Rough Work
ANSWER :
B. 1