SSC CHSL 2021-13.04.2021-3 SSC Question Paper

SSC CHSL 2021-13.04.2021-3 SSC Questions

51.

Section : Quantitative Aptitude
The given pie chart shows the distribution of money spent by Aditya through credit cards of different banks A, B, C, D and E. The total money spent by him through credit cards in a year is ₹3,60,000.
 
What is his combined spending through credit cards of bank A and bank C?

A.

60,000

B.

1,00,000

C.

1,80,000

D.

1,40,000

ANSWER :

D. 1,40,000

52.

The side BC of a triangle ABC is extended to a point D. If ∠ACD = 117° and ∠ABC = \(\dfrac{5}{8}\) ∠BAC, then what is the measure of ∠ABC?

A.

45°

B.

72°

C.

36°

D.

54°

ANSWER :

A. 45°

53.

The perimeter and the area of a rectangular sheet are 42 m and 108 m², respectively. The length of the diagonal is:

A.

15 m

B.

10 m

C.

14 m

D.

12 m

ANSWER :

A. 15 m

54.

If \(\dfrac{3\sqrt{3}\sec\theta + 4\tan\theta}{3\tan\theta + \sqrt{3}\sec\theta}\)= 2, 0° < θ < 90°, then the value of cosθ will be:

A.

\(\dfrac{\sqrt{3}}{2}\)

B.

\(\dfrac{1}{\sqrt{2}}\)

C.

\(\dfrac{1}{4}\)

D.

\(\dfrac{1}{2}\)

ANSWER :

D. \(\dfrac{1}{2}\)

55.
If the number 583p2310q?2 is is divisible by 11, then what is the value of p × q, where p > q?
A.
4
B.
2
C.
0
D.
6
ANSWER :
C. 0
56.

P, Q and R are three points on the circumference of a circle such that QR is a diameter and PQ = PR. If the radius of the circle is 7 cm, then the length of PQ is:

A.

\(14\sqrt{2}\ \text{cm}\)

B.

\(7\ \text{cm}\)

C.

\(7\sqrt{3}\ \text{cm}\)

D.

\(7\sqrt{2}\ \text{cm}\)

ANSWER :

D. \(7\sqrt{2}\ \text{cm}\)

57.

Solve the following equation.
\(\theta : 2\cos^{2}\theta + (4+\sqrt{3})\sin\theta - 2(1+\sqrt{3}) = 0\)where θ is an acute angle.

A.

30°

B.

45°

C.

15°

D.

60°

ANSWER :

D. 60°

58.

A sum of money amounts to ₹28,224 in 2 years and to ₹29,635.20 in 3 years when invested on compound interest, compounded annually. What is the sum of money?

A.

26,880

B.

26,095

C.

26,000

D.

25,600

ANSWER :

D. 25,600

59.
If x³ + y³ = 468 and x + y = 12, then the value of x⁴ + y⁴ will be:
A.
3620
B.
2036
C.
3025
D.
3026
ANSWER :
D. 3026
60.
A circle touches all four sides of a quadrilateral PQRS. If PQ = 11 cm, QR = 12 cm and PS = 8 cm, then what is the length of RS?
A.
9 cm
B.
7.3 cm
C.
7 cm
D.
15 cm
ANSWER :
A. 9 cm