SSC CGL 2022-06.12.2022-1 SSC Question Paper

SSC CGL 2022-06.12.2022-1 SSC Questions

61.

The mean proportional of a and b is c. What is the mean proportional of a2 c and b2 c?

A.

c

B.

3c

C.

c3

D.

ANSWER :

C. c3

62.
Find the area of the sector of a circle with radius 4cm and angle 30°.
A.
7.186cm²
B.
6.186cm²
C.
4.186cm²
D.
5.186cm²
ANSWER :
C. 4.186cm²
63.

What is the value of
\[
\frac{\cos 20^\circ}{\sin 70^\circ} + \frac{\cos \theta}{\sin(90^\circ - \theta)}
\]

A.

-2

B.

1/2

C.

- 1/2

D.

2

ANSWER :

D. 2

64.

A boat racer can row 21(3/2) km/hr in still water. If the speed of river is 12.5 km/hr, it takes him 40 minutes to row to a place and back, how far off is the place (consider up to two decimals)?

A.

5(5/27)km

B.

5(2/5)km

C.

4(5/27)km

D.

3(5/27)km

ANSWER :

A. 5(5/27)km

65.

The number of mobile sim card owners in 4 states/UTs are given in the bar diagram. Study the diagram and answer the question. 

The average of sim card sold in the four State/UT in lakhs is:

A.

51.5

B.

51.25

C.

50

D.

55.25

ANSWER :

B. 51.25

66.
A solid hemisphere has radius 21 cm. It is melted to form a cylinder such that the ratio of its curved surface area to total surface area is 2:5. What is the radius (in cm) of its base (take π = 22/7)?
A.
23
B.
21
C.
17
D.
19
ANSWER :
B. 21
67.
A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. If B works daily and is supported by A and C on alternate days beginning with A, then in how many days will the work be finished?
A.
10
B.
9(1/3)
C.
12
D.
8
ANSWER :
B. 9(1/3)
68.
A number n when divided by 6, leaves a remainder 3. What will be the remainder when (n² + 5n + 8) is divided by 6?
A.
1
B.
3
C.
5
D.
2
ANSWER :
D. 2
69.

What will be the value of sin 10° - 4/3 sin³ 10°?

A.

\( \frac{1}{3\sqrt{3}} \)

B.

1/6

C.

\( \frac{1}{2\sqrt{3}} \)

D.

\( \frac{\sqrt{3}}{6} \)

ANSWER :

B. 1/6

70.

Successive discounts of 18% and 22% are equal to a single discount of _______________

A.

36.04%

B.

35.04%

C.

37.04%

D.

34.04%

ANSWER :

A. 36.04%