SSC CGL 2021-19.04.2022-3 SSC Question Paper

SSC CGL 2021-19.04.2022-3 SSC Questions

61.
A and B entered into a partnership with certain investments. At the end of 8 months, A withdrew and collected back his money. A and B received profit in the ratio 5:9 at the end of the year. If B had invested ₹36,000, then how much (in ₹) did A invest?
A.
25000
B.
30000
C.
20000
D.
36000
ANSWER :
B. 30000
62.

Simplify the following expression:
\(
\frac{\cos A}{1 - \tan A} + \frac{\sin A}{1 - \cot A} - \sin A
\)

A.

1 + cos A

B.

(1 + sin A) cos A

C.

1 + sin A

D.

cos A

ANSWER :

D. cos A

63.
What is the angle of elevation of the sun when the shadow of a 9-m high pole is 3√3 m long?
A.
30°
B.
45°
C.
60°
D.
90°
ANSWER :
C. 60°
64.
The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The sixth number is 6 less than the fifth number and 5 less than the seventh number. The average of the sixth and seventh number is:
A.
41.5
B.
43.5
C.
44.5
D.
45.5
ANSWER :
A. 41.5
65.

Performance of 1800 students in grades has been shown in the following pie chart.
How many students have got either grade D or grade E?

A.

345

B.

352

C.

342

D.

359

ANSWER :

C. 342

66.
Find the value of k such that the number k53206k is divisible by 6.
A.
7
B.
4
C.
2
D.
1
ANSWER :
B. 4
67.
Find the greatest 3-digit number which, when divided by 3, 4, 5 and 8, leaves remainder 2 in each case.
A.
962
B.
122
C.
958
D.
482
ANSWER :
A. 962
68.
In a circle with centre O and of radius 13 cm, two parallel chords are drawn on different sides of the centre. If the length of one chord is 10 cm and the distance between the two chords is 17 cm, then find the difference in lengths of the two chords (in cm).
A.
10
B.
14
C.
24
D.
12
ANSWER :
B. 14
69.
If (x + y)³ - (x - y)³ - 3y(2x² - 3y²) = ky³, then find the value of k.
A.
10.5
B.
8
C.
11
D.
10
ANSWER :
C. 11
70.

The given histogram represents the marks of students in Maths test of a certain class.
The total number of students is 350 and the maximum marks for a test are 200.
Study the graph and answer the question.
The total number of students whose marks are less than 100 is what percentage (correct up to one place of decimal) less than the total number of students whose marks are 120 and above?

A.

32.7%

B.

36.6%

C.

43.2%

D.

51.8%

ANSWER :

C. 43.2%