TIME and WORK & CALENDARS
1) A can do a piece of work in 30 days, which B can do in 20 days. Both started the work but A left 5 days before the completion of the work. It took how many days to complete the work?
a) 10 days b) 12 days c) 14 days d) 16 days e) None
2) X can do a piece of work in 12 days and Y in 10 days, but with the help of Z they can finish the work in 4 days. Z alone can do the work in how many days?
a) 10 days b) 12 days c) 15 days d) 19 days e) None
3) A and B can do a piece of work in 18 days; B and C in 24 days. A and C can do this work in 36 days. In what time can they all working together do it?
a) 10 days b) 12 days c) 14 days d) 16 days e) None
4) X can do a work in 20 days and B can do the same in 25 days. They both start together. After 5 days B leaves the work. In how many more days will the work be finished?
a) 11 days b) 12 days c) 16 days d) None
5) 10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake the work, how many days will they take to complete it?
a) 5 days b) 4 days c) 4½ days d) 6 days e) None
6) Which of the following years will have the same calendar as that of 1995?
a) 2001 b) 1999 c) 2000 d) 2006 e) None
7) On what day 1st July 2009 will fall?
a) Monday b) Wednesday c) Friday d) Sunday e) None
8) A is thrice as good a workman as B. Together they can do a job in 15 days. In how many days will B finish the work?
a) 55 days b) 52 days c) 54 days d) 60 days e) None
9) A is thrice as good a workman as B and takes 10 days less than B to do a piece of work. B alone can do the work in
a) 12 days b) 10 days c) 20 days d) 30 days e) None
10) 36 workmen are employed to finish a certain work in 48 days; but it is found that in 24 days only 2/5 work is done. How many more men must be taken in finish the work in time?
a) 16 b) 14 c) 24 d) 22 e) None
11) If 3 men and 5 boys can do as much in 17 days as 5 men and 3 boys can do in 15 days, compare the rates of working of a man and a boy.
a) 2: 5 b) 3: 5 c) 5: 3 d) 5:2 e) None
12) A tank can be filled in 10 hours but owing to a leakage in its bottom it requires 5 hours more to fill it. If the cistern is full, in what time can the leak empty it?
a) 10 hrs b) 20 hrs c) 30 hrs d) 40 hrs e) None
13) 6 men and 8 women together can complete a piece of work in 10 days. Work done by a woman in one day is equal to half the work done by a man in one day. If 10 women are working alone, in how many days will the work get completed?
a) 20 b) 22 c) 25 d) 28 e) None
14) 10 identical taps fill a tank in 24 minutes. To fill the tank in 1 hour, how many taps are required to be used?
a) 2 b) 4 c) 6 d) 8 e) None
15) If the first day of the year 1991 was Tuesday, what day of the week must have been on January 1st, 1998?
a) Monday b) Tuesday c) Wednesday d) Thursday e) None
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