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Problem 1

\(A\) can finish a piece of work in 12 days while \(B\) can do it in 15 days. If both work at it together, what time will they take to do the work? (a) 6 days (b) 8 days (c) \(6 \frac{2}{3}\) days (d) \(10 \frac{1}{5}\) days

Problem 13

\(A\) is twice as good a workman as \(B\) and therefore \(A\) takes 6 days less than \(B\) to finish the work individually. If \(A\) and \(B\) working together complete the work in 4 days, then bro many days are required by \(B\) to complete the work alone? (a) 12 (b) 18 (c) 8 . (d) 6

Problem 15

Ajit is 3 times as efficient as Bablu, then the ratio of numberof days required by each to work alone, completely? (a) \(3: 1\) (b) \(1: 3\) (c) \(6: 3\) (d) \(3: 6\)

Problem 17

If \(A\) takes \(4 / 5\) days as \(B\) takes and working together thej require \(\frac{20}{3}\) days to complete the whole work What is the efficiency of \(B\) ? (a) \(6 \frac{2}{3} \%\) (b) \(16 \%\) (c) 5.55\% (d) \(8 \frac{1}{3} \%\)

Problem 23

Raja can do a piece of work in 14 days, while Rani can do the same work in 21 days. They started the work together but 3 days before the completion of the work, Raja left the work. The total number of days to complete the work is : (a) 7 (b) \(8.5\) (c) 5 (d) \(10 \frac{1}{5}\)

Problem 26

Efficiency of Asha is \(25 \%\) more than Usha and Usha takes 25 days to complete a piece of work. Asha started a work alone and then usha joined her 5 days before actual completion of the work. For how many days Asha worked alone? (a) 9 (b) 11 (c) 10 (d) 15

Problem 29

Kavita, Babita and Samita started a work. 5 days later Samita left the work and Babita left the work after working 8 days. In how many more days Kavita would have completed the rest work if they take 20,60 and 30 days individually to finish a work? (a) 4 (b) 5 (d) 8 (c) 6

Problem 31

Anand can do a piece of work in 45 days, but Bahuguna can do the same work in 5 days less, than Anand, when working alone. Anand and Bahuguna both started the work together but Bahuguna left after some days and Anand finished the remaining work in 56 days with half of his efficiency but he did the work with Bahuguna with his complete efficiency. For how many days they had worked together? (a) 6 (b) 8 (c) 9 (d) 12

Problem 32

Chandni and Divakar can do a piece of work in 9 days and 12 days respectively. If they work for a day alternatively, Chandni beginning, in how many days, the work will be completed? (b) \(9 \frac{1}{5}\) (a) \(10 \frac{1}{4}\) (c) \(11.11\) (d) 10

Problem 39

Alen and Border can do a work individually in 21 and 42 days respectively. In how many days they can complete the work, working alternatively? (a) 14 (b) 28 (c) 42 (d) 35

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