SSC CGL 2023-14.07.2023-3 SSC Question Paper

SSC CGL 2023-14.07.2023-3 SSC Questions

51.
Quantitative Aptitude
Virat can complete a work in 30 days and Daniel is 60% more efficient than Virat to complete the same work. Find the total time taken by Daniel to complete the work.
A.
16 5/3 days
B.
18 4/3 days
C.
19 3/5 days
D.
17 3/5 days
ANSWER :
B. 18 4/3 days
52.
The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48. Find the correct average of the given numbers.
A.
58
B.
48
C.
46
D.
56
ANSWER :
C. 46
53.

If sin 23° = a/b, then the value of sec 23° - sin 67° is

A.

a² + b² / 2ab

B.

b² - a² / ab

C.

\( \frac{a^{2}}{b \sqrt{b^{2} + a^{2}}} \)

D.

\( \frac{a^{2}}{b \sqrt{b^{2} - a^{2}}} \)

ANSWER :

D. \( \frac{a^{2}}{b \sqrt{b^{2} - a^{2}}} \)

54.

What is the central angle corresponding to the sector indicating the expenses incurred on health?

A.

72°

B.

54°

C.

110°

D.

108°

ANSWER :

D. 108°

55.
In an election between three candidates, Arjun, Bhaskar and Saral contested for a post. Arjun got 50% votes more than Saral, and Saral got 2% votes less than Bhaskar. The difference between the votes of Bhaskar and Saral is 1296. What is the half of the difference between the votes of Arjun and Bhaskar?
A.
3888
B.
13988
C.
7766
D.
15228
ANSWER :
D. 15228
56.
Solve the following expression.
[7 + 30 รท 6 - (6 + 6) + 7]
A.
6
B.
7
C.
5
D.
4
ANSWER :
B. 7
57.
In an office, a typing work can be finished by Monika in 6 hours, Anita in 8 hours and Manju in 5 hours if they work alone. How much time (in hours) will they take if they work together?
A.
3(3/59)
B.
2(2/59)
C.
2(2/5)
D.
2(2/57)
ANSWER :
B. 2(2/59)
58.
Which of the following statements is INCORRECT?
A.
If a chord is extended outside the circle on both ends then it is called secant.
B.
Tangent is perpendicular to the radius of the circle at the point of contact.
C.
A line which intersects two distinct points of a circle is called tangent.
D.
Tangent is a line touching only one point of the circle.
ANSWER :
C. A line which intersects two distinct points of a circle is called tangent.
59.
A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a work in 12 days, in how many days can B finish the same work?
A.
8
B.
10
C.
16
D.
12
ANSWER :
C. 16
60.
Two friends P and Q simultaneously start running from same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take?
A.
2
B.
1
C.
4
D.
3
ANSWER :
B. 1