SSC CGL 2022-02.12.2022-1 SSC Question Paper

SSC CGL 2022-02.12.2022-1 SSC Questions

61.
What is the single percentage discount equivalent to two successive discounts of 15% and 5%?
A.
19%
B.
19.25%
C.
18%
D.
18.25%
ANSWER :
B. 19.25%
62.
Simplify
x + 3(y + x - 2) - (x + y).
A.
x + 2y - 6
B.
2x + y - 6
C.
2x + 3y - 6
D.
3x + 2y - 6
ANSWER :
D. 3x + 2y - 6
63.
A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 21 m/sec and 23 m/sec respectively. What is the time taken by the policeman to catch the thief?
A.
40 sec
B.
45 sec
C.
62.5 sec
D.
48.5 sec
ANSWER :
D. 48.5 sec
64.

If sec²A + tan²A = 4/17, then sec4A - tan4A is equal to:

A.

13/17

B.

4/13

C.

4/17

D.

5/17

ANSWER :

C. 4/17

65.

If sin(A + B) = cos(A + B), what is the value of tan A?

A.

\(\, \frac{1 - \tan B}{1 + \tan B} \)

B.

\(\, \frac{1 + \tan B}{1 - \tan B} \)

C.

\(\, \frac{1 + \sec B}{1 - \sec B} \)

D.

\(\, \frac{1 - \mathrm{cosec}\,B}{1 + \mathrm{cosec}\,B} \)

ANSWER :

A. \(\, \frac{1 - \tan B}{1 + \tan B} \)

66.
If the diameter of a sphere is 63 cm, then what is the total surface area of the sphere?
A.
11824 cm²
B.
12836 cm²
C.
12474 cm²
D.
11248 cm²
ANSWER :
C. 12474 cm²
67.
A circular clock has the hour hand of length 6 inch. Find the length of the distance it covers by it's tip from 9 p.m. to 3 a.m.
A.
4Ï€ inch
B.
2Ï€ inch
C.
6Ï€ inch
D.
8Ï€ inch
ANSWER :
C. 6Ï€ inch
68.
In the election, 8% of the voters did not cast their votes. Two candidates contested the election in which the winning cadidate got 48% of the total votes and won election by 1100 votes. Find the total number of voters in the election, given that all the votes cast were valid?
A.
25500
B.
26500
C.
27500
D.
28500
ANSWER :
C. 27500
69.
A mixture of milk and water measures 60 litres. It contains 10% water. How much water should be added to it, so that the water may be 25%?
A.
18 litres
B.
14 litres
C.
16 litres
D.
12 litres
ANSWER :
D. 12 litres
70.
If 6 women can complete a work in 3 days, and 9 girls can complete the same work in 2 days, then find the time taken to complete the same work by 8 women and 6 girls?
A.
3 days
B.
4 days
C.
6 days
D.
9/7 days
ANSWER :
D. 9/7 days