SSC CGL 2023-19.07.2023-2 SSC Question Paper

SSC CGL 2023 Question Papers

SSC CGL 2023-19.07.2023-2 SSC Questions

51.

Quantitative Aptitude
A can do a work in 4 days and B in 12 days. If they work on it together for 2 days, then the fraction of the work that will be left is:

A.

\( \frac{1}{5} \)

B.

\( \frac{2}{5} \)

C.

\( \frac{2}{3} \)

D.

\( \frac{1}{3} \)

😑 View Answer Rough Work
ANSWER :

D. \( \frac{1}{3} \)

52.
In a group of 32 students, the average weight was 18.5 kg. When 4 students left the group, the average came down to 15.5 kg. What was the average weight (in kg) of those 4 students?
A.
37.5
B.
39.5
C.
36.5
D.
27.5
😑 View Answer Rough Work
ANSWER :
B. 39.5
53.
A man took a loan of ₹32,400 at a certain rate of simple interest per annum. The rate of interest is one-fourth of the number of years for which the loan is taken. If he paid ₹11,664 as interest at the end of the loan period, the rate of interest was:
A.
12%
B.
8%
C.
5%
D.
3%
😑 View Answer Rough Work
ANSWER :
D. 3%
54.
Inlet Pipes A and B can together fill an empty tank in 1.5 hours. Outlet Pipe C, when opened alone, can empty the completely filled tank, in 4.5 hours. When only Pipes A and C are opened together, the empty tank is filled in 6 hours. Find the time taken by Pipe B, when opened alone, to fill the empty tank.
A.
3 hours 32 minutes
B.
3 hours 30 minutes
C.
3 hours 40 minutes
D.
3 hours 36 minutes
😑 View Answer Rough Work
ANSWER :
D. 3 hours 36 minutes
55.

Two circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and ∠PAB = 65°, then ∠ABP is _________: 

A.

25°

B.

15°

C.

5°

D.

35°

😑 View Answer Rough Work
ANSWER :

A. 25°

56.
A thief committed a crime and escaped from the spot at a speed of 12 m/h. A Security guard started chasing him 20 minutes after the thief started running and caught him in the next 20 minutes. What is the speed (in m/h) of the Security guard?
A.
32
B.
30
C.
24
D.
36
😑 View Answer Rough Work
ANSWER :
C. 24
57.
Anil and Bipin together can complete a work in 15 days, while Bipin alone can finish it in 20 days. In how many days can Anil alone finish the work?
A.
65
B.
60
C.
40
D.
30
😑 View Answer Rough Work
ANSWER :
B. 60
58.

Using \(
\cot(A - B) = \frac{\cot A \cot B + 1}{\cot B - \cot A},
\) find the value of cot15°

A.

\( \sqrt{3} - 1 \) 

B.

\( 2 + \sqrt{3} \)  

C.

\( \sqrt{3} + 1 \)  

D.

 \( 2 - \sqrt{3} \)

😑 View Answer Rough Work
ANSWER :

B. \( 2 + \sqrt{3} \)  

59.
The monthly income of a person was Rs.80,000 and his monthly expenditure was Rs.45,000. Next year, his income increased by 16% and his expenditure increased by 8%. Find the percentage increase in his savings (correct to 2 decimal places).
A.
25.35%
B.
26.29%
C.
30.25%
D.
44.36%
😑 View Answer Rough Work
ANSWER :
B. 26.29%
60.
A woman is 28 years older than her son. In three years, her age will be twice the age of her son. The present age of the son is:
A.
22 years
B.
20 years
C.
25 years
D.
28 years
😑 View Answer Rough Work
ANSWER :
C. 25 years