SSC CHSL 2021-05.08.2021-3 SSC Question Paper

SSC CHSL 2021-05.08.2021-3 SSC Questions

61.

Study the given bar graph and answer the question that follows.
The bar graph shows the production of table fans in a factory during one week.
 
The average production of table fans on Friday and Saturday exceeds the average production of table fans during the week by:

A.

45

B.

30

C.

35

D.

40

ANSWER :

C. 35

62.
In a triangle ABC, if BD and CD bisect ∠B and ∠C respectively, and ∠A = 100°, then find ∠BDC.
A.
130°
B.
100°
C.
110°
D.
140°
ANSWER :
D. 140°
63.
Two circles of radii 4 cm and 3 cm, respectively, touch each other externally. What is the distance (in cm) between their centres?
A.
5
B.
16
C.
7
D.
9
ANSWER :
C. 7
64.
A number P is 20% more than a number Q but 10% less than a number R. What percentage is number Q of number R?
A.
80
B.
85
C.
75
D.
90
ANSWER :
C. 75
65.

If cosθ =\(\frac{7}{3\sqrt{6}}\) and θ is an acute angle, then the value of 27 sin²θ \(-\frac{3}{2}\) is:

A.

12

B.

15

C.

1

D.

9

ANSWER :

C. 1

66.
During his morning walk, Atul walks for 45 minutes at a speed of 8 km/h and takes 15 rounds of a park. Shekhar takes 10 rounds of the same park in 40 minutes. What is the speed of Shekhar in km/h?
A.
7.2
B.
6
C.
6.75
D.
7.5
ANSWER :
B. 6
67.

For A = 30°, find the value of \(\frac{-3\sin^{2}2A + 2\sec^{2}A - \tan\frac{3A}{2}}{\tfrac{1}{3}\sin 3A}\)

A.

-\frac{7}{4}

B.

-\frac{7}{36}

C.

\frac{57}{4}

D.

\frac{11}{4}

ANSWER :

A. -\frac{7}{4}

68.

Find the value of θ, if \(\sec^{2}\theta + (1-\sqrt{3})\tan\theta - (1+\sqrt{3}) = 0\), where θ is an acute angle.

A.

60°

B.

30°

C.

45°

D.

15°

ANSWER :

A. 60°

69.

How many spherical bullets, each bullet being 7 cm in diameter, can be made out of a cube of lead whose edge measures 77 cm? \(\text{(Take }\pi = \frac{22}{7}\text{)}\)

A.

1452

B.

4521

C.

2451

D.

2541

ANSWER :

D. 2541

70.

The distance between two equal parallel chords of a circle is 10 cm. If the chords are 24 cm long, then what is the length of the radius?

A.

\(2\sqrt{61}\ \text{cm}\)

B.

17 cm

C.

26 cm

D.

13 cm

ANSWER :

D. 13 cm