SSC CGL 2022-13.12.2022-1 SSC Question Paper

SSC CGL 2022-13.12.2022-1 SSC Questions

61.
The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?
A.
70 cm
B.
15 cm
C.
46 cm
D.
35 cm
ANSWER :
D. 35 cm
62.

If \(
    K + \frac{1}{K} + 2 = 0
  \) and K < 0, then what is the value of \(
K^{11} + \frac{1}{K^{4}}
\)

A.

0

B.

-2

C.

-1

D.

-17

ANSWER :

A. 0

63.
If Sec2A + tan2A = 3, then what is the value of CotA ?
A.
1/√3
B.
0
C.
1
D.
√3
ANSWER :
C. 1
64.
An article costs Rs.4,000 to a shopkeeper, who marks its price at Rs.8,400. The shopkeeper sells it to a customer at a discount of 25%. The customer gets a further discount of 15% on the discounted price if the customer redeems a coupon issued by the store previously. What is the profit percentage (to the nearest integer) earned by the shopkeeper in this transaction?
A.
34%
B.
51%
C.
42%
D.
36%
ANSWER :
A. 34%
65.
If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?
A.
21
B.
3
C.
5
D.
4
ANSWER :
D. 4
66.

If \(
    x + \frac{1}{x} = 6,
  \) then find the value of
\(
\frac{3x}{2x^2 - 5x + 2}
\)

A.

1

B.

3/7

C.

2/3

D.

0

ANSWER :

B. 3/7

67.
The hour hand moves through 4 hours and has a length of 6 cm. Find the area (in cm², rounded off to two decimal places) of the sector covered by the hour hand.
A.
32.69
B.
30.67
C.
37.71
D.
35.75
ANSWER :
C. 37.71
68.

If θ is an acute angle and tan θ + cot θ = 2, then the value of tan200θ + cot200θ is:

A.

1

B.

2

C.

-1

D.

0

ANSWER :

B. 2

69.

In the figure BCDE is a square and ABC is equilateral triangle then ∠ADC is:

A.

45°

B.

30°

C.

60°

D.

15°

ANSWER :

D. 15°

70.
Salaries of Rida and Riya are in the ratio of 3:5, respectively. If the salary of each one is increased by Rs.5,000, then the new ratio becomes 5:7. What is Riya's present salary?
A.
Rs.12,500
B.
Rs.7,500
C.
Rs.2,500
D.
Rs.10,000
ANSWER :
A. Rs.12,500