Time, Work & Pipes
Q1. 16 men can reap a field in 30 days. In how many days will 20 men reap the field? (In days)
1) 25 2) 24 3)10 4) 37 5) None
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Q2. 8 men working for 9 hrs a day complete a piece of work in 20 days. In how many days can 7 men working for 10 hrs a day complete the same piece of work?
1) 20 2) 20 3) 21 4) 21 5) None
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Q3. If 3 persons weave 336 shawls in 14 days how many shawls will 8 persons weave in 5 days?
1) 180 2) 210 3) 252 4) 320 5) None
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Q4. If 5 spiders can catch 5 flies in 5 minutes, how many flies can 100 spiders catch in 100 minutes?
1) 100 2) 500 3) 1000 4) 40 5) None
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Q5. A garrison of 200 men had provisions for 50 days. After 5 days a reinforcement of 100 men arrived. The remaining food will now last for how many days?
1) 25 2) 36 3) 30 4) 28 5) None
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Q6. A garrison had provisions for a certain number of days. After 10 days, 1/5 of the men desert (leave) and it is found that the provisions will now last just as long as before. How long was that? (In days)
1) 15 2) 25 3) 35 4)50 5) None
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Q7. A can do a piece of work in 8hrs while B alone can do it in 12hrs. Both A and B working together can finish the work in:
1) 10 hrs 2) 4 hrs 3) 5 hrs 4) 4 hrs 5) None
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Q8. A can do a piece of work in 10 day while B alone can do it in 12 day and C alone can do it in 15 day. A, B and C working together can finish the work in: (in days)
1) 8 2) 4 3) 5 4) 4 5) None
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Q9. Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself? (In days)
1) 60 2) 20 3) 40 4) 30 5) None
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Q10. A can do a work in 15 days, B can do it in 20 days and A, B and C can do it in 8 days. C alone can do the work in.
1) 50 days 2) 60 days 3) 40 days 4) 30 days 5) None
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Q11. A can do of work in 5 days and B can do of the work in 10 days. In how many days both A and B together can do the work?
1) 7 2) 8 3) 9 4) 10 5) None
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Q12. A does 20% less work than B. If A can complete a piece of work in7 hours, then B can do it in
1) 5 hours 2) 5 hours 3) 6 hours 4) 6 hours 5) None
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Q13. A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in:
1) 24 days 2) 27 days 3) 36 days 4) 48 days 5) None
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Q14. To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?
1) 30 days 2) 35 days 3) 40 days 4) 45 days 5) None
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Q15. A is thrice as good a workman as B and therefore A is able to finish a job in 60 days less than B. Working together, they can do it in
1) 20 days 2) 22 days 3) 25 days 4) 30 days 5) None
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Q16. A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in
1) 3 days 2) 5 days 3) 7 days 4) 11 days 5) None
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Q17. A can do a piece of work in 10 days, B can do it in 15 days and C can do it in 20 days. They start the work together. But, after 2 days A leaves off and 1 day after that C leaves off. B will do the remaining work. In how many days work gets completed?
1) 8 days 2) 4 days 3) 9 days 4) 8 days 5) None
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Q18. A can do a piece of work in 12 days, B in 15 days and C in 20 days. They start the work together. But, after 3 days, A leaves off and B left 3 days before the completion of the work. In how many days work gets completed?
1) 8 days 2) 4 days 3) 9 days 4) 8 days 5) None
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Q19. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
1) 16 days 2) 12 days 3) 18 days 4) 15 days 5) None
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Q20. If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in:
1) 21 days 2) 24 days 3) 26 days 4) 33 days 5) None
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Q21. 8 men can do a piece of work in 15 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 8 women and 30 children together complete the piece of work?
1) 5 days 2) 15 days 3) 4 days 4) 6 days 5) None
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Q22. A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in
1) 6 days 2) 9 days 3) 10 days 4) 10 days 5) None
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Q23. A and B together can complete a piece of work in 24 days, B and C can do it in 40 days and C and A can do it in 30 days. A, B and C alone can complete it in
1) 40, 60, 120 2) 90, 50, 60 3)40, 120, 60 4)70, 50, 80 5) None
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Q24. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time taken to fill the tank will be:
1) 8 hrs 2) 10 hrs 3) 16 hrs 4) 24 hrs 5) None
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Q25. Pipes A and B can fill a tank in 20 hrs and 30 hrs resp. and pipe C can empty the full tank in 40 hrs. If all the pipes are opened together, how much time will be needed to make the tank full?
1) 10 hrs 2) 12 hrs 3) 17 hrs 4) 19 hrs 5) None
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Q26. A pipe can fill a tank in 15 hours. Due to a leak, it is filled in 20 hours. If the tank is full, how much time will the leak take to empty it alone?
1) 40 hrs 2) 60 hrs 3) 50 hrs 4) 45 hrs 5) None
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Q27. A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 litres per minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity if the tank is:
1)5260 ltrs 2)5760 ltrs 3)5846 ltrs 4)6970 ltrs 5) None
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Q28. A and B can complete a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in
1)14 days 2) 15 days 3) 16 days 4) 18 days 5) None
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Q29. 40 men take 8 days to earn Rs. 2000. How many men will earn Rs. 200 in 2 days?
1) 10 2) 12 3) 14 4) 16 5) None
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Q30. In a hospital there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days?
1) 59 2) 85 3) 95 4) 105 5) None
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Q31. If 48 persons consume 144 kg of rice in 15 days, how many kgs will 8 persons consume in 5 days?
1) 6 2) 7 3) 8 4) 12 5) None
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Q32. If 4/5th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it? (In sec.)
1) 20 2) 15 3) 12 4) 10 5) None
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Q33. 20 pipes of the same diameter can fill a tank on 24 minutes. If 4 pipes go out of order, how long will the remaining pipes take to fill the tank?
1) 40 min 2) 45 min 3) 30 min 4) 19 min 5) None
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Q34. Kamal can do a piece of work in 15 days. Bimal is 50% more efficient than Kamal. The number of days, Bimal will take to do same piece of work, is : (in days)
1) 10 2) 10 3) 12 4) 14 5) None
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Q35. Two pipes A and B can fill a tank in 15 minutes and 20 minutes resp. Both the pipes are opened together but, after 4 minutes, pipe A is turned off. What is the total time required to fill tank?
1) 10 min 20 sec 2) 11 min 45 sec c ) 12 min 4) 15 min 5) None
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Q36. A tank is fitted with two taps A and B. A can fill the tank completely in 45 minutes and B can empty the full tank in 1 hr. If both the taps are opened alternatively for 1 minute, A started, then in how much time the empty tank will be filled completely?
1) 2 hrs 55 min 2) 3 hrs 40 min 3) 4 hrs 48 min 4) 5 hrs 53 min e) None of these
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Answers
1) 2 2) 2 3) 4 4) 5 5) 3 6) 4
7) 4 8) 2 9) 5 10) 5 11) 3 12) 3
13) 3 14) 1 15) 2 16) 2 17) 3 18) 4
19) 2 20) 2 21) 3 22) 3 23) 1 24) 3
25) 3 26) 2 27) 2 28) 1 29) 4 30) 3
31) 3 32) 2 33) 3 34) 1 35) 5 36) 4
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