Q1. Two worker’s A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require:
(a) 5 1/5 days
(b) 6 1/4 days
(c) 7 1/2 days
(d) 8 3/4 days
Q2. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works 1 1/2 times as fast as Sunil. The three together can complete the work in:
(a) 1 5/12 days
(b) 1 5/7 days
(c) 1 3/8 days
(d) 1 5/19 days
(e) None of these
Q3. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?
(a) 9 3/8 days
(b) 4 4/8 days
(c) 8 4/13 days
(d) 3 9/13 days
(e) None of these
Q4. A and B together can complete a piece of work in 12 days and B and C together in 15 days. If A is twice as good a workman as C, then in how many days will B alone complete the same work?
(a) 30
(b) 25
(c) 24
(d) 20
(e) None of these
Q5. A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Rs 450 for the whole work, how should they divide the money?
(a) Rs225, Rs150, Rs75
(b) Rs250, Rs100, Rs100
(c) Rs200, Rs150, Rs100
(d) Rs175, Rs175, Rs100
(e) None of these
Q6. A is thrice as good a workman as B, therefore, A is able to finish a piece of work in 60 days less that B. The time (in days) in which they can do it working together is:
(a) 22
(b) 22 1/2
(c) 23
(d) 23 1/4
(e) None of these
Q7. A and B working separately can do a piece of work in 9 and 12 days, respectively. If they work for a day alternately with A beginning, the work would be complete in:
(a) 10 2/3 days
(b) 10 1/2 days
(c) 10 1/4 days
(d) 10 1/3 days
(e) None of these
Q8. A can do a piece of work in 24 days, B in 32 days and C in 64 days. Everyone begin to do it together, but A leaves after 6 days B leaves 6 days before the completion of the work. How many days did the work last?
(a) 15
(b) 20
(c) 18
(d) 30
(e) None of these
Q9. A, B and C have to type 506 pages to finish an assignment. A can type a page in 12 minutes, B in 15 minutes and C in 24 minutes. If they divide the task into three parts so that all three of equal amount of time in typing, what is the number of pages that B should type?
(a) 172
(b) 176
(c) 154
(d) 168
(e) 164
Q10. If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?
(a) 10 days
(b) 12 days
(c) 6 days
(d) 8 days
(e) None of these
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MAHENDRA GURU