Time and Work & Pipe and Cistern SSC MTS Questions

Time and Work & Pipe and Cistern MCQ Questions

1.
A and B can do a piece of work in 4 days, B and C can do the same work in 5 days. A and C can do it in 10 days. If A, B. C work together, in how many days can they complete the work
SSC MTS 2021-01.09.2023-1
A.
\(3\tfrac{11}{7}\)
B.
\(11\tfrac{3}{7}\)
C.
\(3\tfrac{7}{11}\)
D.
\(11\tfrac{7}{3}\)
ANSWER :
C. \(3\tfrac{7}{11}\)
2.
Ram can do a piece of work in 18 bours. Shyam and Naresh can do it in 9 hours. Ram and Naresh can do it in 12 hours. How long will Shyam alone take to do it?
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A.
15 hours
B.
9 hours
C.
12 hours
D.
11 hours
ANSWER :
C. 12 hours
3.
A can do a piece of work in 36 days, while B can do it in 48 days. B worked on it for 12 days and leaves it. How many days will A take to finish the remaining work?
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A.
21
B.
27
C.
28
D.
32
ANSWER :
B. 27
4.
A work can be completed by P and Q working separately in 12 and 18 days, respectively. But they work on alternate days beginning with P. How many days will it take to complete the work?


SSC MTS 2021-04.09.2023-1

A.

\(14\tfrac{1}{12}\)

B.

15

C.

\(14\tfrac{1}{3}\)

D.

\(14\tfrac{1}{4}\)

ANSWER :

C. \(14\tfrac{1}{3}\)

5.
Juli and Rahul can simultaneously finish the work of painting a room in 12 days. If Juli alone can paint the room in 20 days, In how many days can Rahul alone complete the same work of painting the room?
SSC MTS 2021-04.09.2023-1
A.
30
B.
25
C.
40
D.
35
ANSWER :
A. 30
6.
20 men can complete a piece of work in 40 days, 40 women can do the same work in 60 days. If 10 men and 20 women work together, then in how many days will the work be completed?
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A.
60
B.
50
C.
48
D.
40
ANSWER :
C. 48