# CAT Time and Work

###### • There is only one correct answer to each question.

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Q-1. A is 25% more efficient than B. With the help of C, B can complete a piece of work in 2/3rd of the time required by A alone. By how much percentage is C less efficient than A?

Q-2. A team of 40 employees can complete a project in 60 days, working 6 hours a day. But because of a deficiency of resources, only 20 employees can work for the first 20 days at 6 hours per day. Then, the resources are arranged. How many hours per day has the team of 40 employees got to work to complete the project on time?

Q-3. A group of 60 men can complete a piece of work in a certain number of days. If 10 more men join them, then the work can be completed in 8 days less. How many days will be required to complete the same work by 100 men?

Q-4. A flat of 3 rooms is painted by A, B and C in 5 days. A works for the whole time, B only on the first two days and C only on the last three days. This work could have been done by B and C in 6 days (both working full-time) without involving A. If B and C working together can do as much work in two days as A can do in 3 days, then how long will it take for A, B and C, respectively, to do this work alone?

Q-5. A group of workers was put to a job. From the second day onward, one worker was withdrawn each day. The job got finished on the day when only the last worker worked. Had no worker been withdrawn at any stage, the group would have finished the job in two-thirds of the time. How many workers were there in the group initially?

Q-6. Four persons A, B, C and D produced 256 pieces of item P in 8 hours. B is twice as efficient as A. D is 25% less efficient than A but is three times as efficient as C. How many pieces of P did B produce?

Q-7. 64 men working 8 hours a day plan to complete a piece of work in 9 days. However, 5 days later they find that they had completed only 40% of the work. They now wanted to finish the remaining portion of the work in 4 more days. Find the number of hours per day that they need to work to achieve the target. [TITA]

Q-8. 9 men and 24 women can do a work in 8 days. 8 men and 32 boys can do the same work in 9 days. If 30 women can do the work in 12 days, then how many boys can do the same work in 18 days? [TITA]

Q-9. Ram and Shyam can complete a job in 50 days and 60 days respectively. They worked only on weekdays (i.e., from Monday to Friday). They started working together on 20th January 2014, a Monday. On 9th February 2014, Ram met with an accident and hence could not report for work. Shyam continued to work alone and Ram joined him on 17th February 2014. On which date was the job completed?

Q-10. Howard and John take 12 days and 16 days respectively to complete a job. Gerard is at least as fast as John but at most as fast as Howard. Gerard and John work on alternate days and completed the job in x days. Which of the following can be the value of x?

Q-11. A group of 30 women takes 36 days to complete a piece of work for which they are paid a total of Rs.60, 000. The rate at which a man works as well as his daily wage is double that of a woman. How many men must join 15 women to complete the work in 24 days? How much more money is earned by men than by women?

Q-12. Anil and Bala can complete a job in 40 days and 50 days respectively. They planned to complete a job, working together, such that they would work only on the weekend (i.e., from Monday to Friday). They started working on 20th Feb 2012 which was Monday. On the morning of 12th march 2012, Bala met with an accident and hence could not work. Anil continued to work alone and Bala joined him on 19th march 2012. On which day was the job completed?

Q-13. A man works twice as fast as a woman. A woman works twice as fast as a child. If 16 men can complete a job in 12 days, how many days would be required for 32 women, and 64 boys together to complete the same job?

Q-14. A worm climbs a vertical bamboo stick 32 cm tall. The worm climbs 3 cm in the day and slips 2 cm during the night each time. However, there are cavities in the stick at 2 cm, 4 cm, 16 cm from the bottom that would not let the worm slip further. If the worm climbs only during the daytime and slips only during the night, on which day from the start will it reach the top?

Q-15. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as additional labour, only men are available, how many of them will be required?

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