SSC CGL 2021-18.04.2022-3 SSC Question Paper

SSC CGL 2021-18.04.2022-3 SSC Questions

51.

Quantitative Aptitude
Study the given histogram and answer the question that follows.

The total number of workers whose daily wages are less than Rs.500 is what percentage more than the total number of workers whose daily wages are Rs.650 and above (correct to one decimal place)?

A.

111.8%

B.

110.5%

C.

101.2%

D.

114.3%

ANSWER :

D. 114.3%

52.

If \( \sqrt{x} - \frac{1}{\sqrt{x}} = \sqrt{3} \) , then what is the value of \( x^4 + \frac{1}{x^4} \, ? \)

A.

531

B.

7

C.

623

D.

527

ANSWER :

D. 527

53.

If A = 10°, then what is the value of
\(\frac{12\sin 3A + 5\cos(5A - 5^\circ)}{9\sin\frac{9A}{2} - 4\cos(5A + 10^\circ)} \, ?\)

A.

\( \frac{6\sqrt{2} + 5}{9 - 2\sqrt{2}} \)

B.

\( \frac{6\sqrt{2} - 5}{9 - 2\sqrt{2}} \)

C.

\( \frac{9 - 2\sqrt{2}}{6\sqrt{2} + 5} \)

D.

\( \frac{6\sqrt{2} + 5}{9 + 2\sqrt{2}} \)

ANSWER :

A. \( \frac{6\sqrt{2} + 5}{9 - 2\sqrt{2}} \)

54.
The area of similar triangles PQR and MNT are 196 cm² and 169 cm² respectively. If the longest side of the larger △PQR be 28 cm, then what is the length (in cm) of the longest side of the smaller △MNT?
A.
26
B.
24
C.
25
D.
27
ANSWER :
A. 26
55.
A circle with centre O has radius 15 cm. D is a point on the circle such that a 24 cm long chord AB is bisected by OD at point C. Find the length of CD (in cm).
A.
9
B.
6
C.
4
D.
10
ANSWER :
B. 6
56.

A shopkeeper earns a profit of 17% on selling a book at 10% discount on the printed price. If the cost price is ₹500, then the marked price (in ₹) is:

A.

615

B.

750

C.

585

D.

650

ANSWER :

D. 650

57.
AB is a diameter of a circle with centre O. The tangent at a point C on the circle and AB, when produced, meet at the point P. If ∠APC = 38°, then what is the measure of ∠PCB?
A.
23°
B.
26°
C.
29°
D.
19°
ANSWER :
B. 26°
58.

A sum of ₹17,200 is lent out at simple interest in two parts for 2 years at 8% p.a. and 10% p.a., respectively. If the total interest received after 2 years is ₹3,008, then the money lent (in ₹) at the rate of 8% p.a. is:

A.

6,400

B.

9,200

C.

9,800

D.

10,800

ANSWER :

D. 10,800

59.

If the volume of a sphere is 4,851 cm³, then what is its diameter (in cm)? \( \text{(Take } \pi = \frac{22}{7} \text{)} \)

A.

18

B.

16

C.

12

D.

21

ANSWER :

D. 21

60.

From the top of a 195-m high cliff, the angles of depression of the top and bottom of a tower are 30° and 60°, respectively. Find the height of the tower (in m).

A.

\(\,195\sqrt{3}\)

B.

195

C.

130

D.

65

ANSWER :

C. 130