SSC CGL 2021-21.04.2022-2 SSC Question Paper

SSC CGL 2021-21.04.2022-2 SSC Questions

61.
If a nine-digit number 485x3678y is divisible by 72, then for the smallest value of x, the value of (2y - 3x) is:
A.
6
B.
9
C.
11
D.
8
ANSWER :
D. 8
62.
If x⁴ - 79x² + 1 = 0, then a value of x + x⁻¹ can be:
A.
9
B.
5
C.
7
D.
8
ANSWER :
A. 9
63.

The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school.
Study the pie chart and table and answer the question that follows.

The below table shows the ratio of girls and boys in the given give schools.

School Girls : Boys
A 3:4
B 2:3
C 5:3
D 1:2
E 4:1

The number of girls in school D is what percentage less than the number of boys in school B (correct to the nearest integer)?

A.

35%

B.

19%

C.

27%

D.

33%

ANSWER :

D. 33%

64.
In the month of March, Dalip earned on an average ₹501 per day. For the first 18 days, his average earning was ₹495 and, for the last 15 days, his average earning was ₹505. On 18ᵗʰ March, he earned ₹50 more than that earned on 17ᵗʰ March. How much (in ₹) did he earn on 18ᵗʰ March?
A.
502
B.
498
C.
501
D.
500
ANSWER :
A. 502
65.
A and B entered into a partnership with investments in the ratio 3:5. After a few months, A withdrew and collected back his money. At the end of the year, they received profit in the ratio 2:5. After how many months did A withdraw?
A.
7
B.
9
C.
8
D.
6
ANSWER :
C. 8
66.

The breakup of the total number of employees of a company working in different offices (A to E), in degrees, is given in the pie chart.
Total number of employees = 2400.
If the percentage of male employees in Office C is 20% and that of female employees in E is 40%, then what is the ratio of the number of female employees in E to that of female employees in C?

A.

3:8

B.

5:4

C.

2:3

D.

3:2

ANSWER :

C. 2:3

67.
Two trains are running on parallel tracks in the same direction at the speed of 80 km/h and 90 km/h, respectively. The trains crossed each other in 3 minutes. If the length of one train is 230 m, then what is the length (in m) of the other?
A.
270
B.
250
C.
230
D.
300
ANSWER :
A. 270
68.

The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in states A, B, C, D and E. How many youth (in lakhs) are unemployed in states B and D taken together?

A.

4.25

B.

4.5

C.

3.5

D.

3.25

ANSWER :

C. 3.5

69.
A person’s salary was increased by 50% and subsequently decreased by 50%. How much percentage does he lose or gain?
A.
Loss of 25%
B.
Gain of 50%
C.
Loss of 30%
D.
Gain of 20%
ANSWER :
A. Loss of 25%
70.

What is the value of (Cos 2Φ - Sin 3Φ + Cosec 2Φ? Where 0° < Φ < 90° , and
\(
\frac{ \sin^{2}\theta - 3\sin\theta + 2 }{ \cos^{2}\theta } = 1
\)

A.

(-3 - 4√3)/6

B.

(-3 + 4√3)/6

C.

(3 + 4√3)/6

D.

(3 - 4√3)/6

ANSWER :

B. (-3 + 4√3)/6