Time and Work, Pipe and Cistern SSC CGL Questions

SSC CGL-Quantitative Aptitude

Time and Work, Pipe and Cistern MCQ Questions


13.
25 men and 45 women can complete a piece of work in 15 days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work?
SSC CGL 2022-07.12.2022-1
A.
10
B.
5
C.
8
D.
6
😑 View Answer Rough Work Error
ANSWER :
D. 6
14.
12 men and 12 women can complete a piece of work in 9 days. 6 men and 15 women can complete the same work in 12 days. How long (in days) would it take 9 women to complete half the work?
SSC CGL 2022-07.12.2022-4
A.
36
B.
12
C.
18
D.
24
😑 View Answer Rough Work Error
ANSWER :
C. 18
15.
A and B can complete a piece of work in 13 and 17 days respectively. A begins to do the work, and they work alternatively one at a time for one day each. The whole work will be completed in:
SSC CGL 2022-08.12.2022-4
A.
\( 17\frac{11}{17} \)  days
B.
\( 17\frac{17}{19} \)  days
C.
\( 14\frac{11}{17} \)  days
D.
\( 11\frac{11}{17} \)  days
😑 View Answer Rough Work Error
ANSWER :
C. \( 14\frac{11}{17} \)  days
16.
A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?
SSC CGL 2022-13.12.2022-2
A.
50 days
B.
40 days
C.
10 days
D.
15 days
😑 View Answer Rough Work Error
ANSWER :
B. 40 days
17.
Pawan can do a piece of work in 32 days. He worked for 8 days and left the work. Thereafter Sandeep finished the remaining work in 27 days. In how many days can Pawan and Sandeep together do the whole work?
SSC CGL 2022-13.12.2022-4
A.
\( 16 \tfrac{16}{17} \text{ days} \)
B.
\( 16 \tfrac{13}{17} \text{ days} \)
C.
\( 16 \tfrac{15}{17} \text{ days} \)
D.
\( 16 \tfrac{14}{17} \text{ days} \)
😑 View Answer Rough Work Error
ANSWER :
A. \( 16 \tfrac{16}{17} \text{ days} \)
18.
A can complete a piece of work in 25 days while B can complete the same work in 30 days. They work on alternate basis, starting with A. Both A and B follow this pattern for 5 days and then A leaves the work. In how many days will B finish the remaining work?
SSC CGL 2023-14.07.2023-1
A.
\(24\dfrac{2}{5}\)
B.
\(5\dfrac{2}{5}\)
C.
\(5\dfrac{3}{5}\)
D.
\(24\dfrac{3}{5}\)
😑 View Answer Rough Work Error
ANSWER :
A. \(24\dfrac{2}{5}\)