SSC CGL 2021-18.04.2022-1 SSC Question Paper

SSC CGL 2021-18.04.2022-1 SSC Questions

51.

Quantitative Aptitude
 The value of \(\dfrac{46 + \dfrac{3}{4} \text{ of } 32 - 6}{37 - \dfrac{3}{4} \text{ of } (34 + 6)}\) is 

A.

\( \frac{64}{7} \)

B.

\( \frac{54}{7} \)

C.

\( \frac{44}{7} \)

D.

\( \frac{34}{7} \)

ANSWER :

A. \( \frac{64}{7} \)

52.
The greatest number that divides 126, 224 and 608 leaving remainders 2, 7 and 19, respectively, is:
A.
27
B.
31
C.
21
D.
37
ANSWER :
B. 31
53.

In the following figure, Pand Q are centres of two circles. The circles are intersecting at points A and B. PA produced on both the sides meets the cireles at C and D. It ∠CPB=100º, then find the value of x.

A.

115

B.

120

C.

110

D.

100

ANSWER :

D. 100

54.

A shopkeeper allows a 28% discount on the marked price of an aticle and still makes a profit of 30%, If be gains ₹.39.90 on the sale of one article, then what is the marked price (to the nearest ₹) of the article?

A.

200

B.

240

C.

173

D.

133

ANSWER :

B. 240

55.

If\( \left( x^2 + \frac{1}{x^2} \right) = 23 \), x>0 What is the value of \( \left( x^3 + \frac{1}{x^3} \right) = ? \)

A.

140

B.

110

C.

-110

D.

-140

ANSWER :

B. 110

56.

If A = 60º, what is the value of:
\(\frac{[8\cos A + 7\sec A - \tan^2 A]}{10\sin \frac{A}{2}} \, ?\)

A.

5

B.

3

C.

15

D.

10

ANSWER :

B. 3

57.
Two poles of heights 10 m and 17 m ace fixed to a level ground. The distance berween the bottom of the poles is 24 m. What is the distance (in m) between their tops?
A.
25
B.
24
C.
30
D.
27
ANSWER :
A. 25
58.

The given bar chart represents the Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A. B. C. D and E in 2015.
Study the chart carefully and answer the question that follows.
 
What is the ratio of the number of TV sets sold by company A to that of company B in 2015?

A.

6:5

B.

4:5

C.

5:4

D.

5:6

ANSWER :

D. 5:6

59.

A circle is inscribed in ΔABC, touching AB, BC and AC at the polats P. Q and R. respectively. If AB - BC = 4 cm. AB - AC = 2 cm, and the perimeter of ΔABC = 32 cm. then AC (in cm) = ?

A.

\( \frac{35}{3} \)

B.

\( \frac{38}{3} \)

C.

\( \frac{32}{3} \)

D.

\( \frac{26}{3} \)

ANSWER :

C. \( \frac{32}{3} \)

60.
If a + b - c = 5 and ab - bc — ac = 10, then find the value of a² + b² + c².
A.
40
B.
5
C.
45
D.
15
ANSWER :
B. 5