SSC CGL 2022-02.12.2022-4 SSC Question Paper

SSC CGL 2022-02.12.2022-4 SSC Questions

61.
If tanA + cotA = 2, then the value of 2(tanยฒ A + cotยฒ A) is:
A.
1
B.
4
C.
2
D.
3
ANSWER :
B. 4
62.
A shopkeeper gives two successive discounts on a watch marked โ‚น2,750. The first discount given is 10%. If the customer pays โ‚น2,103.75 for the watch, then what is second discount?
A.
15%
B.
30%
C.
12%
D.
10%
ANSWER :
A. 15%
63.
Which of the following numbers are divisible by 2, 3 and 5?
A.
5467760
B.
1345678
C.
2345760
D.
2456732
ANSWER :
C. 2345760
64.
Two trains P and Q start from stations S and T towards each other. Train P takes 4 hours 48 minutes and train Q takes 3 hours 20 minutes to reach T and S, respectively, after they meet. If the speed of train P is 45 km/h, what is the speed of train Q?
A.
48 km/h
B.
50 km/h
C.
54 km/h
D.
55 km/h
ANSWER :
C. 54 km/h
65.

If \(\;\frac{1 - \cos\theta}{\sin\theta} = \frac{1}{5}\)  then what will be the value \(\;\frac{1 + \cos\theta}{\sin\theta}\) ?

A.

5

B.

2/5

C.

4/5

D.

1/5

ANSWER :

A. 5

66.

If \(\;K + \frac{1}{K} = 3\) then what is the value of \(\;\frac{1}{K^{3}} + K^{3}\)

A.

36

B.

10

C.

18

D.

54

ANSWER :

C. 18

67.

In the given figure, a square ABCD is inscribed in a quadrant APCQ. If AB = 16 cm, find the area of the shaded region (take π = 3.14) correct to two places of decimal.

A.

155.98 cm²

B.

179.68 cm²

C.

163.85 cm²

D.

145.92 cm²

ANSWER :

D. 145.92 cm²

68.

O is the incentre of the triangle PQR. If angle POR = 140°, then what is the angle PQR?

A.

40 degree

B.

140 degree

C.

100 degree

D.

70 degree

ANSWER :

B. 140 degree

69.

If the side of an equilateral triangle is 20 cm, then what is its area?

A.

110\(\sqrt{3}\) cm²

B.

125\(\sqrt{3}\) cm²

C.

200\(\sqrt{3}\) cm²

D.

100\(\sqrt{3}\) cm²

ANSWER :

D. 100\(\sqrt{3}\)cm²

70.

Which of the following statement is correct?
I. The value of 100² - 99² + 98² - 97² + 96² - 95² + 94² - 93² + …...... + 2² - 1² is 5050.
II. If 8x + \( \frac{8}{x} \) = -16 and x < 0, then the value of x¹โนโท + xโป¹โนโท is 2.

A.

Only I

B.

Only II

C.

Both I and II

D.

Neither I nor II

ANSWER :

A. Only I