SSC CGL 2021-13.04.2022-1 SSC Question Paper

SSC CGL 2021 Question Papers

SSC CGL 2021-13.04.2022-1 SSC Questions

51.
Quantitative Aptitude
13, a b, c are four distinct numbers and the HCF of each pair of numbers (13, a); (13, b); (13, c) is 13, where a, b, c are each less than 60 and a < b < c. What is the value of (a+c)/b
A.
3.5
B.
2
C.
5
D.
4.5
😑 View Answer Rough Work
ANSWER :
B. 2
52.
A train covers a distance of 225 km in 2 and a half hours with a uniform speed. The time taken, in hours, to cover a distance of 450 km with the same speed is
A.
5
B.
4
C.
3
D.
6
😑 View Answer Rough Work
ANSWER :
A. 5
53.
In ∆ABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 12 cm, CD = 8 cm, then CB (in cm) = ?
A.
18
B.
12
C.
15
D.
10
😑 View Answer Rough Work
ANSWER :
A. 18
54.

Find the value of the following expression:
\[ \frac{\tan^{3}45^{\circ} + 4\cos^{3}60^{\circ}} {2\,\text{cosec}^{2}45^{\circ} - 3\sec^{2}30^{\circ} + \sin30^{\circ}} \]

A.

3/4

B.

4/3

C.

17

D.

3

😑 View Answer Rough Work
ANSWER :

D. 3

55.
A, B and C start a business. A invests 33(1/3)% of the total capital, B invests 25% of the remaining and C the rest. If the total profit at the end of the year is ₹2,19,000, then A’s share (in ₹) is
A.
65000
B.
71000
C.
73000
D.
79000
😑 View Answer Rough Work
ANSWER :
C. 73000
56.
Chords AB and CD of a circle, when produced, meet at the point P. If AB = 6.3 cm, BP = 4.5 cm, and CD = 3.6 cm, then the length (in cm) of PD is
A.
4.8 cm
B.
3.5 cm
C.
3.1 cm
D.
5.4 cm
😑 View Answer Rough Work
ANSWER :
D. 5.4 cm
57.
The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?
A.
26
B.
24
C.
31
D.
30
😑 View Answer Rough Work
ANSWER :
A. 26
58.
A cylindrical vessel of diameter 32 cm is partially filled with water. A solid metallic sphere of radius 12 cm is dropped into it. What will be the increase in the level of water in the vessel (in cm)?
A.
9
B.
72
C.
27
D.
2.25
😑 View Answer Rough Work
ANSWER :
A. 9
59.

If 5 sin θ - 4 cos θ = 0, 0° < θ < 90°, then what is the value of
\[ \frac{5\sin\theta + 2\cos\theta}{5\sin\theta + 3\cos\theta} \]

A.

4/7

B.

6/7

C.

2/7

D.

3/7

😑 View Answer Rough Work
ANSWER :

B. 6/7

60.
If the length of a diagonal of a square is (a + b), then the area of the square is:
A.
a² + b²
B.
1/2(a² + b²) + ab
C.
a² + b² + 2ab
D.
1/2(a² + b²)
😑 View Answer Rough Work
ANSWER :
B. 1/2(a² + b²) + ab