(A) Each of them worked for 5 days
(B) A worked for 6 days, B worked for 6 days, C worked for 6days and D worked for 5 days
(C) A and D worked for 5 days, B and C worked for 5 days
(D) A and C worked for 4 days, B worked for 9 days and D worked for 6 days
(E) A and B worked for 4 days, C worked for 10days and D worked for 9 days
Answer: 5: A and B worked for 4 days, C worked for 10days and D worked for 9 days
2) B is 5/4 times as efficient as A. If A can fill the 3/5 of the tank in 15 min, what fraction of the capacity of the tank would remain incomplete if B can fill the tank independently for 10 min only?
(A) 2/3
(B) 1/3
(C) 1/4
(D) 1/2
(E) None of these
Answer: D: 1/2
3) A and B together can complete 33(1/3) % of the work in 10 days, C and D together can complete 85% of the work in 17 days and A, B and C together can complete half of the work in 7.5 days. A and D together can complete 66(2/3) % of the work in 16 days. In how many days can B alone complete 40% of the work?
(A) 32 days
(B) 36 days
(C) 45 days
(D) 48 days
(E) None of these
Answer: 4: 48 days
4) A water tank has three taps A, B, and C, Tap A when opened can fill the water tank alone in 15 hours.
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Tap B when opened can fill the water tank alone in 24 hours and Tap C, when opened can empty the water tank alone in 30 hours. If Tap A, Tap B, and Tap C are opened simultaneously how long will it take to fill the tank completely?(A) 70/3 hours
(B) 40 hours
(C) 22 hours
(D) 40/3 hours
(E) 20/3 hours
Answer: D: 40/3 hours
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5) Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All the three pipes are opened together, but Pipe A is closed after 10 hours. After how many hours will the remaining part of the tank be filled
(A) 25/2
(B) 37/2
(C) 35/2
(D) 31/2
(E) 21/2
Answer: A: 25/2
6) A can do a piece of work in 20 days and B can do the same work in 30 days. They started the work together but after 9 days A left the job. In how many days B will complete the rest of the work?
(A) 9 ½ days
(B) 7 ½ days
(C) 8 ½ days
(D) 6 ½ days
(E) 10 ½ days
Answer: B: 7 ½ days
7) A contract is to be completed in 45 days and 112 men were set to work, each working 8 hours a day. After 16 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 3 hours a day?
(A) 110
(B) 112
(C) 115
(D) 100
(E) 108
Answer: B: 112
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8) 36 women can complete work in 24 days and 24 men can complete the same work in 18 days. In how many days will 16 men and 16 women complete that work?
(A) 12 days
(B) 18 days
(C) 36 days
(D) 24 days
(E) None of these
Answer: B: 18 days
9) A can do a piece of work in 45 days and B can do same work in 15 days. B started the work alone but after 5 days he left the job. In how many days A will complete the rest of the work?
(A) 40 days
(B) 30 days
(C) 50 days
(D) 15 days
(E) 25 days
Answer: B: 30 days
10) A can do a piece of work in 25 days and B can do same work in 50 days. A started the work alone but after 3 days he left the job. In how many days B will complete the rest of the work?
(A) 44 days
(B) 30 days
(C) 50 days
(D) 15 days
(E) 25 days
Answer: A: 44 days
