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(tan² A + cot² A) is:
A.
1
B.
4
C.
2
D.
3
ANSWER :
B. 4
62.
A shopkeeper gives two successive discounts on a watch marked ₹2,750. The first discount given is 10%. If the customer pays ₹2,103.75 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°
B.
140°
C.
100°
D.
70°
ANSWER :
B. 140°
69.
If the side of an equilateral triangle is 20 cm, then what is its area?
A.
110√3 cm²
B.
125√3 cm²
C.
200√3 cm²
D.
100√3 cm²
ANSWER :
D. 100√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 + (8/x) = -16 and x < 0, then the value of x¹⁹⁷ + x⁻¹⁹⁷ is 2.
A.
Only I
B.
Only II
C.
Both I and II
D.
Neither I nor II
ANSWER :
A. Only I