SSC CGL 2023-17.07.2023-4 SSC Question Paper

SSC CGL 2023-17.07.2023-4 SSC Questions

51.
Quantitative Aptitude
15 men and 21 women, working together, can do a job in 56 days, while 12 men and 24 women, working together, can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women, working together?
A.
47(9/19)
B.
47(5/19)
C.
47(6/19)
D.
47(3/19)
ANSWER :
D. 47(3/19)
52.
Which of the following statements is INCORRECT?
A.
The ratio of circumference of two circles is equal to the ratio of their radii.
B.
Circles are congruent to each other if they have equal radii.
C.
The perpendicular drawn from the center of the circle on the chord of the circle bisects the chord.
D.
Radius is the longest chord of a circle.
ANSWER :
D. Radius is the longest chord of a circle.
53.

Simplify the expression.
\(
\frac{3.35^2 - 1.25^2}{3.35 + 1.25} = ?
\)

A.

4.1

B.

4.6

C.

2.1

D.

3.1

ANSWER :

C. 2.1

54.
A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage?
A.
4% gain
B.
2% gain
C.
4% loss
D.
2% loss
ANSWER :
B. 2% gain
55.
A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:
A.
7
B.
2
C.
5
D.
3
ANSWER :
D. 3
56.
A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are 3/2 cm and 2 cm, respectively. Find the diameter of the third ball.
A.
3.3 cm
B.
2.5 cm
C.
2.1 cm
D.
3 cm
ANSWER :
B. 2.5 cm
57.
A person standing at a distance looks at a building having a height of 1000 metre. The angle between the top of the building and the ground is 30°. At what approximate distance (in metres) is the person standing away from the building?
A.
936
B.
1542
C.
1732
D.
1000
ANSWER :
C. 1732
58.
A sector of a circle of radius 10 cm is formed at 60° angle at the centre. What will be its area (take π = 3.14)?
A.
60.67 cm²
B.
52.33 cm²
C.
75.28 cm²
D.
55.00 cm²
ANSWER :
B. 52.33 cm²
59.
If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage?
A.
25%
B.
50%
C.
100%
D.
75%
ANSWER :
B. 50%
60.
What is the value of (27x³ - 58x²y + 31xy² - 8y³), when x = - 5 and y = - 7?
A.
-1924
B.
1926
C.
-1926
D.
1924
ANSWER :
D. 1924