SSC CGL 2023-20.07.2023-2 SSC Question Paper

SSC CGL 2023-20.07.2023-2 SSC Questions

61.
If a: b :: b: c, and b = 96, then which of the following can be a possible pair of values of a and c?
A.
a=24; c=374
B.
a=32; c=288
C.
a=48; c=168
D.
a=16; c=586
ANSWER :
B. a=32; c=288
62.
Which of the following is a FALSE statement?
A.
The circumcentre is the centre of a circle which circumscribes the triangle
B.
The angle formed by any side at the incentre is always 90° more than the angle at the opposite vertex.
C.
Incentre is the point of concurrency of angle bisectors of a triangle.
D.
Centroid of the triangle divides each median in the ratio of 2:1
ANSWER :
B. The angle formed by any side at the incentre is always 90° more than the angle at the opposite vertex.
63.

\(
7.5 \times 17.2 \div 8.6 \;+\; (59.5)\ of \frac{1}{17} \;-\; \frac{7}{2}\ of  5 \;=\; ?
\)

A.

1

B.

3

C.

4

D.

2

ANSWER :

A. 1

64.
A thief is chased by a policeman and distance between them is 3 km. The speed of policeman is 75 km/h and the speed of the thief is 60 km/h. The policeman will be able to catch the thief when the thief would have covered the distance of
A.
18
B.
12
C.
15
D.
10
ANSWER :
B. 12
65.
The average weight of 15 persons is increased by 1.2 kg when one of them whose weight was 61 kg is replaced by a new man. The weight of the new man is
A.
69 kg
B.
70 kg
C.
65 kg
D.
59 kg
ANSWER :
A. 69 kg
66.
The following expression is equal to. cot 85° + cos 75°
A.
tan 85° + sin 75°
B.
tan 5° + sin 15°
C.
tan 85° - sin 75°
D.
tan 5° - sin 15°
ANSWER :
B. tan 5° + sin 15°
67.
If x + y + z = 4 and x² + y² + 2z² = 12, then find xy + yz + xz.
A.
4
B.
6
C.
7
D.
2
ANSWER :
D. 2
68.

If (5y + 5/y) = 11, find the value of
\(
\left(y^{2}+\frac{1}{y^{2}}\right)
\)

A.

2(21/25)

B.

1(21/25)

C.

3(21/25)

D.

4(21/25)

ANSWER :

A. 2(21/25)

69.

\(
\frac{2\tan A}{1+\tan^{2}A}=?
\)

A.

cos 2A

B.

SinA

C.

CosA

D.

Sin2A

ANSWER :

D. Sin2A

70.

Find the value of sin(50 + θ) - cos(40 - θ).

A.

\(
\frac{1}{2}
\)

B.

-1

C.

0

D.

1

ANSWER :

C. 0