SSC CHSL 2021-16.04.2021-3 SSC Question Paper

SSC CHSL 2021 Question Papers

SSC CHSL 2021-16.04.2021-3 SSC Questions

51.

Section : Quantitative Aptitude
Simplify the following expression.
\(\cos^{2}30^{\circ} + \cos^{2}40^{\circ} + \cos^{2}50^{\circ} + \cos^{2}60^{\circ}\)

A.

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

B.

1

C.

\(\frac{5}{2}\)

D.

2

😑 View Answer Rough Work
ANSWER :

D. 2

52.

If 5k = tanθ and \(\frac{5}{k}\) = secθ , then what is the value of \(10\left(k^{2}-\frac{1}{k^{2}}\right)\,?\) ?

A.

2

B.

-2

C.

\(-\frac{2}{5}\)

D.

\(\frac{2}{5}\)

😑 View Answer Rough Work
ANSWER :

C. \(-\frac{2}{5}\)

53.
The lengths of three sides of a triangle are in the ratio 3 : 4 : 5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in cm²) of the triangle is:
A.
19.44
B.
32.4
C.
21.75
D.
15.64
😑 View Answer Rough Work
ANSWER :
A. 19.44
54.
If 21 tanθ = 20, then (1 + sinθ - cosθ) : (1 - sinθ + cosθ) is equal to:
A.
13:15
B.
11:13
C.
14:15
D.
12:11
😑 View Answer Rough Work
ANSWER :
C. 14:15
55.

A, B and C can independently complete the same task in 4, 6 and 12 days, respectively. In how many days will they be able to complete the same task if they work together?

A.

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

B.

\(2\frac{1}{4}\)

C.

3

D.

2

😑 View Answer Rough Work
ANSWER :

D. 2

56.
If A is 28% less than B and C is 25% less than the sum of A and B, then by what percentage will C be more than A (correct to one decimal place)?
A.
84.3%
B.
79.2%
C.
81.6%
D.
75.5%
😑 View Answer Rough Work
ANSWER :
B. 79.2%
57.
The average score of 84 students (boys and girls) in a test is 95. The ratio of the number of boys to that of girls is 10:11. The average score of the boys is 20% less than that of the girls. What is the average score of the boys in the test?
A.
95
B.
84
C.
120
D.
105
😑 View Answer Rough Work
ANSWER :
B. 84
58.

The simple interest on a certain sum for 3(1/2) years at the rate of 10% per annum is ₹2,940. What will be the compound interest (in ₹) on the same sum for 1(1/2) years at the same rate when interest is compounded half-yearly (nearest to a rupee)?

A.

1,324

B.

1,470

C.

1,564

D.

1,125

😑 View Answer Rough Work
ANSWER :

A. 1,324

59.
The ratio of the ages of A and B, four years ago, was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 11 : 13. What is the ratio of their present ages?
A.
9:11
B.
11:9
C.
8:7
D.
7:8
😑 View Answer Rough Work
ANSWER :
A. 9:11
60.

Some persons went on an outstation tour. The histogram shows their ages

If the children of age less than 15 years got concession, then how many persons got the concession?

A.

13

B.

15

C.

22

D.

25

😑 View Answer Rough Work
ANSWER :

B. 15