TIME AND WORK MCQ SET 4
1. A and B can do a work in 10 and 12 days respectively . They begin the work together but A left the work 1 day before the completion of work . In how many days will the total work be completed ?
(a) 5 days
(b) 8 days
(c) 2 days
(d) 6 days
Answer: D
2. A and B working alone can complete a work in 8 days and 12 days , respectively . They started working together , but A left 2 days before completion of the work . In how many days was the work completed ?
(a) 6
(b) 5
(c) 8
(d) 10
Answer: A
3. A , B and C can do a work in 10 , 12 and 15 days respectively . They begin the work together but B left the work 3 days before the completion of work . In how many days will the total work be completed ?
(a) 5 days
(b) 9 days
(c) 10 days
(d) 8 days
Answer: A
4. A alone can do a work in 14 days . B alone can do the same work in 28 days . C alone can do the same work in 56 days . They start the work together and completed the work such that B was not working on last 2 days and A did not work in last 3 days . In how many days (total) was the work completed?
(a) 72/7 days
(b) 87/7 days
(c) 79/7 days
(d) 65/7 days
Answer: A
5. A , B and C can do a work in 10 , 12 and 15 days respectively . They begin the work together but after 3 days C left the work and 4 days before B left the work . In how many days will the total work be completed ?
(a) 68/11
(b) 67/11
(c) 58/13
(d) 58/11
Answer: A
6. A , B and C can do a work in 10 , 12 and 15 days respectively . They begin the work together but after 4 days B left the work and 3 days before C left the work . In how many days will the total work be completed?
(a) 27/5
(b) 26/5
(c) 21/5
(d) 23/5
Answer: B
7. A and B together can complete a task in 12 days . However , if A works alone , completes half the job and leaves and then B works alone and completes the rest of the work , it takes 25 days in all to complete the work . If B is more efficient then A , how many days – would it have taken B to do the work by herself ?
(a) 18
(b) 22
(c) 20
(d) 15
ย Answer: C
8. X takes 4 days to complete one – third of a job , Y takes 3 days to complete one – sixth of the same work and Z takes 5 days to complete half the job . If all of them work together for 3 days and X and Z quit , how long will it take for Y to complete the remaining work done ?
(a) 6 days
(b) 8.1 days
(c) 5.1 days
(d) 7 days
Answer: C
9. A man can alone finish a piece of work in 8 days , while a women can finish the same work in 16 days . They start working together and Man quits after 2 days . Women continues . After 3 days man is called back for work . Then after 1 day woman quits work and remaining work is done by man . What is the ratio of work done by man to work done by woman ?
(a) 5 : 3
(b) 4 : 3
(c) 2 : 3
(d) 3 : 4
Answer: A
10. P and Q can do a certain work together in 12 days , Q and R in 20 days P and R in 15 days . P , Q , R start working together . They work for 2 days after which Q leaves . After 10 more days Q re – rejoins and P leaves . Q works to 2 days along with R and then he leaves . The remaining work is completed by R . In how many days will the work be completed ?
(a) 12 days
(b) 16 days
(c) 20 days
(d) 24 days
Answer: B
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