Time and Work & Pipe and Cistern SSC MTS Questions

Time and Work & Pipe and Cistern MCQ Questions

7.
A,B and C can complete a work in 10,15 and 20 days respectively. They work on alternate days such that 1st day A, 2nd day B and 3rd day C, Again 4th day A, 5th day B and so on. If they work in the same way, in how many days will the wok be completed?
SSC MTS 2021-04.09.2023-2
A.
\(13\tfrac{1}{4}\)
B.
15
C.
14
D.
\(13\tfrac{1}{2}\)
ANSWER :
D. \(13\tfrac{1}{2}\)
8.
If P can finish a job in 3 hours and Q can finish the same job in 6 hours independently, then together they will finish the job in x minutes. Find the value of x.
SSC MTS 2021-04.09.2023-3
A.
160
B.
100
C.
150
D.
120
ANSWER :
D. 120
9.
A man can finish work in 12days and a woman can finish the same in 10 days. 2 men and 3 women work on alternate days and men start the first day. The work will be finished in _____ days
SSC MTS 2021-04.09.2023-3
A.
\(\frac{22}{3}\)
B.
\(\frac{24}{5}\)
C.
\(\frac{22}{5}\)
D.
\(\frac{21}{5}\)

ANSWER :
C. \(\frac{22}{5}\)
10.
Akash is thrice as good a workman as Arvind and therefore is able to finish a job in 30 days less than Arvind. If they work together, in how many days can they finish the job?
SSC MTS 2021-05.09.2023-1
A.
\(11\tfrac{1}{4}\)
B.
\(11\tfrac{3}{4}\)
C.
\(12\tfrac{3}{4}\)
D.
\(12\tfrac{1}{4}\)
ANSWER :
A. \(11\tfrac{1}{4}\)
11.
Anil works 3 times as fast as Sumit. If Sumit can complete a work in 12 days independently, then the number of days in which Anil and Sumit can together finish the work will be?
SSC MTS 2021-05.09.2023-1
A.
2
B.
3
C.
4
D.
5
ANSWER :
B. 3
12.
A man takes 8 hours 30 minutes to go to a place by bicycle and return from there by scooter.
If he travels both ways by bicycle, it takes him 10 hours. How much time will he take to travel both ways by scooter? (in hours?)
SSC MTS 2021-05.09.2023-2
A.
\(4\tfrac{1}{2}\)
B.
7
C.
\(3\tfrac{1}{2}\)
D.
4
ANSWER :
B. 7