**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 9 of the study plan and in Quantitative Aptitude today’s chapter is**

**Time and Work and Wages**

**Q1. 24 men working 8 hours a day can finish a work in 10 days. Find the number of men required to finish the same work in 6 days working 5 hours a day?**

(a) 60

(b) 64

(c) 80

(d) 72

(e) None of these

**Q2. A machine A can print one thousand books in 10 hours, machine B can print the same number of books in 12 hours while machine C print them in 15 hours. All the machines are started at 9 a.m. while machine A is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?**

(a) 11:30 a.m.

(b) 12 noon

(c) 12:30 pm

(d) 2:20 pm

(e) None of these

**Q3. The work done by a man, a woman and a child is in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 48 children in a factory. Their weekly wages amount to Rs 840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women and 30 children for 2 weeks?**

(a) Rs 585

(b) Rs 292.5

(c) Rs 1170

(d) Rs 900

(e) None of these

**Q4. A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was:**

(a) 100

(b) 110

(c) 55

(d) 50

(e) None of these

**Q5. A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?**

(a) 6 days

(b) 12 days

(c) 4 days

(d) 8 days

(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

**Q11. 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

(e) None of these

**Q12. 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

**Q13. 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

**Q14. 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

**Q15. 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

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