SSC CGL 2021-21.04.2022-1 SSC Question Paper

SSC CGL 2021-21.04.2022-1 SSC Questions

51.
Quantitative Aptitude
A shopkeeper bought toffees at a rate of 10 for ₹15 and sold them at a rate of 16 for ₹40. Find his profit percentage (correct to two decimal places)
A.
65.05%
B.
33.33%
C.
50.55%
D.
66.67%
ANSWER :
D. 66.67%
52.

From the masthead of a 180 m high ship, the angle of depression to a boat is 60°. Find the distance (in meters) from the ship to the boat

A.

360

B.

60\(\sqrt{3}\)

C.

180\(\sqrt{3}\)

D.

180

ANSWER :

B. 60\(\sqrt{3}\)

53.

Find the value of the following expression:

\( \frac{ 4{\tfrac{1}{3}} + 3{\tfrac{1}{3}} \times 1{\tfrac{4}{5}} \div 3{\tfrac{3}{4}} \times \left( 6{\tfrac{1}{4}} \,\text{ of }\, 1{\tfrac{1}{15}} \right) } { \tfrac{2}{3} \div \tfrac{5}{6} \times \tfrac{2}{3} } \)

A.

\(28\dfrac{1}{8}\)

B.

\( \frac{1}{8} \)

C.

\(289\dfrac{3}{8}\)

D.

\(12\dfrac{1}{2}\)

ANSWER :

A. \(28\dfrac{1}{8}\)

54.
Find the smallest number which should be added to the smallest number divisible by 6,9 and 15 to make it a perfect square?
A.
10
B.
9
C.
19
D.
21
ANSWER :
A. 10
55.
The radii of two concentric circles with centre O are 26 cm and 16cm. chord AB of the larger circle is tangent ot the smaller circle at C and AD is a diameter. What is the length of CD?
A.
42 cm
B.
36 cm
C.
35 cm
D.
38 cm
ANSWER :
D. 38 cm
56.

Find the sum of the greatest and the smallest number which may replace k in the number 3281k6 to make the number divisible by 6.

A.

9

B.

8

C.

5

D.

4

ANSWER :

B. 8

57.
A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor. What is the final sale price (in ₹, to the nearest rupee) of a food processor costing ₹4580?
A.
2519
B.
2977
C.
2382
D.
3664
ANSWER :
C. 2382
58.

If \( 5x - \frac{1}{4x} = 6,\; x > 0, \) then find the value of \( 25x^{2} - \frac{1}{16x^{2}} . \)

A.

6\(\sqrt{41}\)

B.

36

C.

\(\sqrt{246}\)

D.

6\(\sqrt{31}\)

ANSWER :

A. 6\(\sqrt{41}\)

59.
In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm, AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).
A.
17
B.
11
C.
15
D.
9
ANSWER :
C. 15
60.
A and B working alone can complete a work in 8 days and 12 days, respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?
A.
6
B.
5
C.
8
D.
10
ANSWER :
A. 6