SSC CGL 2021-20.04.2022-3 SSC Question Paper

SSC CGL 2021-20.04.2022-3 SSC Questions

61.

What is the value of :
\(
\frac{5\cos^{2}62^\circ + 5\cos^{2}28^\circ - 21}{7\sin^{2}35^\circ + 7\sin^{2}55^\circ + 1}
\)

A.

2

B.

-2

C.

3

D.

-3

ANSWER :

B. -2

62.

Find the value of the following expression:
\(
\frac{
1\tfrac{1}{2} + 1\tfrac{3}{7} \div \left(1\tfrac{3}{5} \,\text{ of }\, 1\tfrac{1}{4}\right) \times 2\tfrac{1}{3}
}{
2\tfrac{2}{3} \div \tfrac{4}{9} \times \tfrac{5}{6} + 14
}
\)

A.

107/342

B.

49/114

C.

13/114

D.

1/6

ANSWER :

D. 1/6

63.
In a right-angled triangle PQR, ∠Q = 90°. A and B are the mid-points of PQ and PR, respectively. If PQ = 16 cm, QR = 30 cm and PR = 34 cm, what is the perimeter (in cm) of the trapezium ABRQ?
A.
40
B.
80
C.
65
D.
70
ANSWER :
D. 70
64.
PQRS is a cyclic quadrilateral and PQ is a diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR?
A.
113°
B.
157°
C.
147°
D.
123°
ANSWER :
A. 113°
65.
Which of the following is the smallest number that is a perfect square and is divisible by each of the numbers 6, 8 and 12?
A.
225
B.
121
C.
576
D.
3600
ANSWER :
D. 3600
66.
Divide ₹66,300 between A and B in such a way that the amount that A receives after 8 years is equal to the amount B receives after 10 years, with compound interest being compounded annually at a rate of 10% per annum
A.
A = ₹35,520, B = ₹30,810
B.
A = ₹35,200, B = ₹31,100
C.
A = ₹37,000, B = ₹29,300
D.
A = ₹36,300, B = ₹30,000
ANSWER :
D. A = ₹36,300, B = ₹30,000
67.
A ladder of length 3.5 m just reaches the top of a wall. If the ladder makes an angle of 60° with the wall, then what is the height of the wall (in m)?
A.
1.75
B.
3.5√3
C.
(7√3)/4
D.
3.5/√3
ANSWER :
A. 1.75
68.
A circle is circumscribed on a quadrilateral ABCD. If ∠DAB = 100°, ∠ADB = 35° and ∠CDB = 40°, then find the measure of ∠BCD.
A.
35°
B.
60°
C.
45°
D.
40°
ANSWER :
B. 60°
69.
If (4a - 3b) = 1, ab = 1/2, where a > 0 and b > 0, what is the value of (64a3 + 27b3)?
A.
15
B.
25
C.
30
D.
35
ANSWER :
D. 35
70.
In △ABC, ∠A = 68°. If I is the incenter of the triangle, then the measure of ∠BIC is:
A.
124°
B.
112°
C.
68°
D.
56°
ANSWER :
A. 124°