Question No : 1
‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work?
(1) 15 days
(2) 18 days
(3) 24 days
(4) 28 days
(5) None of these
Question No : 2
A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets?
Question No : 3
12 Men can complete one-third of the work in 8 days. In how many days can 16 men complete that work?
(1) 18
(2) 12
(3) 24
(4) Can’t say
(5) None of these
Question No : 4
Computer A takes 3 minutes to process an input while computer B takes 5 minutes. If computer A, B and C can process an average of 14 inputs in one hour, how many minutes does computer C alone taken to process one input?
(1) 10
(2) 4
(3) 6
(4) 8
(5) None of these
Question No : 5
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
(1) 60 days
(2) 45 days
(3) 40 days
(4) 30 days
(5) None of these
Question No : 6
A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and are forced to leave after 2 days. The time taken by A alone to complete the remaining work is.
(1) 10 days
(2) 12 days
(3) 15 days
(4) 16 days
(5) None of these
Question No : 7
Question No : 8
7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days?
(1) 28
(2) 21
(3) 14
(4) 7
(5) None of these
Question No : 9
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?
(1) 6 days
(2) 12 days
(3) 4 days
(4) 8 days
(5) None of these
Question No : 10
A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in
(1) 4 days
(2) 5 days
(3) 6 days
(4) 7days
(5) None of these
Question No : 11
‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is
(1) 6
(2) 10
(3) 12
(4) 15
(5) None of these
Question No : 12
A is thrice as good a workman as B and is, therefore, able to finish a piece of work in 60 days less than B. The time (in days) in which they can do it working together is
Question No : 13
A, B and C can do a piece of work in 10, 12 and 15 days respectively. A leaves 5 days before the completion of the work and B leaves 2 days after A. The whole work lasts for
(1) 7 days
(2) 6 days
(3) 12 days
(4) 13 days
(5) None of these
Question No : 14
A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone is:
(1) 18 hours
(2) 24 hours
(3) 30 hours
(4) 12 hours
(5) None of these
Question No : 15
3 men and 7 women can do a job in 5 days. While 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before to finish the same job is:
(1) 30
(2) 36
(3) 40
(4) 20
(5) None of these
Question No : 16
A can do a work in 20 days and B can do the same work in 30 days. In how many days can A and B together do the work?
(1) 15
(2) 16
(3) 10
(4) 12
(5) None of these
Question No : 17
If 10 men or 20 women or 40 children can do a piece of work in 7 months, then 5 men, 5 women and 5 children together can do half of the work in:
(1) 8 months
(2) 6 months
(3) 4 months
(4) 5 months
(5) None of these
Question No : 18
A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time is:
(1) 50
(2) 75
(3) 100
(4) 125
(5) None of these
Question No : 19
A can finish a work in 8 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days. A alone can finish the remaining work?
Question No : 20
A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid Rs.960 for the whole work how much money A gets?
(1) Rs.480
(2) Rs.240
(3) Rs.320
(4) Rs.400
(5) None of these
Question No : 21
A and B together can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in
(1) 6 days
(2) 8 days
(3) 10 days
(4) 4 days
(5) None of these
Question No : 22
(1) 6 hours
(2) 8 hours
(3) 10 hours
(4) 4 hours
(5) None of these
Question No : 23
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in.
(1) 15 days
(2) 20 days
(3) 25 days
(4) 30 days
(5) None of these
Question No : 24
A’s 2 days work is equal to B’s 3 days work. If A can complete the work in 8 days then to complete the work B will take:
(1) 14 days
(2) 15 days
(3) 16 days
(4) 12 days
(5) None of these
Question No : 25
4 men and 6 women complete a work in 8 days, 2 men and 9 women also complete in 8 days. The number of days 18 women complete the work is:
Question No : 26
A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is
(1) 20 days
(2) 21 days
(3) 22 days
(4) 24 days
(5) None of these
Question No : 27
A and B can separately finish a piece of work in 20 days and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work is
(1) 50 days
(2) 30 days
(3) 40 days
(4) 60 days
(5) None of these
Question No : 28
Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is:
Question No : 29
Having the same capacity 9 taps fill up a water tank in 20 minutes. How many taps of the same capacity are required to fill up the same water tank in 15 minutes?
(1) 10
(2) 12
(3) 15
(4) 18
(5) None of these
Question No : 30
A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in
Question No : 31
B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days and A and C together can complete the same work in 16 days. In how many days can A, B and C together complete the same work?
Question No : 32
6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days?
(1) 6 days
(2) 5 days
(3) 7.2 days
(4) Can’t say
(5) None of these
Question No : 33
Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a men does. How many women alone can complete this work in 7 days?
(1) 8
(2) 7
(3) 12
(4) Can’t say
(5) None of these
Question No : 34
(1) 6 days
(2) 27 days
(3) 12 days
(4) Data inadequate
(5) None of these
Question No : 35
A man and a woman working together can do a certain work in 18 days. Their skills in doing the work are in the ratio 3 : 2. How many days will the woman take to finish the work alone?
(1) 45 days
(2) 36 days
(3) 27 days
(4) 30 days
(5) None of these
Question No : 36
A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?
(1) 4 days
(2) 6 days
(3) 9 days
(4) 18 days
(5) None of these
Question No : 37
A, B and C completed a work costing Rs.1,800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A?
(1) Rs.800
(2) Rs.600
(3) Rs.900
(4) Rs.750
(5) None of these
Question No : 38
A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, A boy will do it alone?
(1) 49
(2) 47
(3) 46
(4) 42
(5) None of these
Question No : 39
If 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days, then 10 women complete it in
(1) 35 days
(2) 50 days
(3) 45 days
(4) 40 days
(5) None of these
Question No : 40
A can do a job in 10 days and B can do the same job in 15 days. They start working together but B leaves after 5 days. In how many more days A will finish the remaining work?
Question No : 41
Pipes P and Q can fill a tank in 10 hours and 12 hours respectively and C can empty it in 6 hours. If all the three are opened at 7 am, at what time will one-fourth of the tank be filled?
(1) 10 a.m.
(2) 10 p.m.
(3) 11 p.m.
(4) 11 a.m.
(5) None of these
Question No : 42
A water tank can be filled by a tap in 30 minutes and another tap can fill it 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?
(1) 20 minutes
(2) 25 minutes
(3) 30 minutes
(4) 45 minutes
(5) None of these
Question No : 43
One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in
Question No : 44
Two pipes A and B can fill a tank in 36 min and 45 min respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in
(1) 39 minutes
(2) 46 minutes
(3) 40 minutes
(4) 45 minutes
(5) None of these
Question No : 45
(1) 12
(2) 10
(3) 18
(4) 16
(5) None of these
Question No : 46
A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01:00 pm and 02:00 pm respectively and outlet at 03:00 pm then it will be emptied at
(1) 05 : 55 pm
(2) 05 : 00 pm
(3) 05 : 20 pm
(4) 05 : 30 pm
(5) None of these
Question No : 47
Two pipes can independently fill a bucket in 20 minutes and 25 minutes. Both are opened together for 5 minutes after which the second pipe is turned off. What is the time taken by the first pipe alone to fill the remaining portion of the bucket?
(1) 11 min
(2) 16 min
(3) 20 min
(4) 15 min
(5) None of these
Question No : 48
8 men can complete a piece of work in 4 days. 12 women can complete the same piece of work in 4 days whereas 8 children can complete the same piece of work in 8 days. 2 men, 8 children and 3 women work together for 2 days. If only women were to finish the remaining work in 2 days, how many total women would be required?
(1) 12
(2) 18
(3) 24
(4) 20
(5) None of these
Question No : 49
8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined, in how many more days will the work be completed?
(1) 5 days
(2) 8 days
(3) 6 days
(4) 4 days
(5) 9 days
Question No : 50
24 workers working 13 hours daily make a wall of dimensions 224 m ´ 16 m ´ 52 m in 32 days. In how many days will 36 workers working 18 hours daily make a wall of dimensions 432 m ´ 21 m ´ 64 m?
(1) 58 days
(2) 42 days
(3) 48 days
(4) 60 days
(5) None of these
Question No : 51
12 men can finish a project in 20 days. 18 women can finish the same project in 16 days and 24 children can finish it in 18 days. 8 women and 16 children worked for 9 days and then left. In how many days will 10 men complete the remaining project?
Question No : 52
28 men can complete a piece of work in 15 days and 15 women can complete the same piece of work in 24 days. What is the respective ratio between the amount of work done by 30 men in 1 day and the amount of work done by 18 women in 1 day?
(1) 10 : 7
(2) 3 : 5
(3) 5 : 4
(4) 9 : 5
(5) None of these
Question No : 53
The time taken by 24 children to complete a project is twice the time taken by 16 women to complete the same project. If 28 women complete the project in 8 days, how many days will 28 women and 24 children together take to complete the project?
Question No : 54
24 girls work for 3 days on a project and complete one-fifth of it. 20 boys work for the next 10 days and complete two-fifth of it. If after 13 days from start of the work, 24 girls and 20 boys work together, how many days will they take to complete the remaining work?
Question No : 55
Question No : 56
Question No : 57
Question No : 58
10 men can finish a piece of work in 15 days. 8 women can finish the same piece of work in 25 days. Only 10 women started working and in few days completed certain amount of work. After that 3 men joined them. The remaining work was completed by 10 women and 3 men together in 5 days. After how many days 3 men joined 10 women?
(1) 11
(2) 13
(3) 15
(4) 10
(5) 12
Question No : 59
A and B can completed a piece of work in 80 days and 120 days respectively. They started working together but A left after 20 days. After another 12 days C joined B and they completed the remaining work in 28 more days. In how many days can C alone complete the work?
(1) 110 days
(2) 112 days
(3) 114 days
(4) 120 days
(5) None of these
Question No : 60
C is 40% efficient less than A. A and B together can finish a piece of work in 10 days. B and C together can do it in 15 days. In how many day A alone can finish the same piece of work?
(1) 18
(2) 12
(3) 14
(4) 20
(5) 15
Question No : 61
(1) 36
(2) 24
(3) 16
(4) 28
(5) None of these
Question No : 62
B is 20% more efficient than A. B started the work and did it for x days. And then B is replaced by A. A completed the remaining work in (x + 8) days. Ratio of work done by A and B is 3 : 2. In how many days will A and B working together complete the whole work?
Question No : 63
Question No : 64
8 men can finish a piece of work in 21 days. 14 men started working and after 3 days they were replaced by 9 women. These 9 women finished the remaining work in 24 days. In how many days 9 women can finish the whole work?
(1) 24
(2) 26
(3) 36
(4) 32
(5) 30
Question No : 65
A and B together can complete a piece of work in 8 days and B and C together in 12 days. All of the three together can complete the work in 6 days. A and C together complete the work in?
(1) 8 days
(2) 10 days
(3) 12 days
(4) 20 days
(5) None of these
Question No : 66
Three persons undertake to complete a piece of work for Rs.1200. The first person can completed the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?
(1) Rs.180
(2) Rs.200
(3) Rs.225
(4) Rs.250
(5) None of these
Question No : 67
A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in
(1) 5 days
(2) 6 days
(3) 7 days
(4) 8 days
(5) None of these
Question No : 68
A and B together can complete a job in 8 days. Both B and C working alone can finish the same job in 12 days, A and B commence work on the job and work for 4 days, where upon A leaves, B continues for 2 more days, and then he leaves too, C now starts working and finishes the job. How many days will C require?
(1) 5 days
(2) 8 days
(3) 3 days
(4) 4 days
(5) None of these
Question No : 69
A and B together can do a piece of work in 30 days, B and C together can do it in 20 days, A starts the work and work on it for 5 days, then B takes up and work for 15 days. Finally C finishes the work in 18 days. The number of days in which C alone can do the work where doing it separately is:
(1) 120 days
(2) 40 days
(3) 60 days
(4) 24 days
(5) None of these
Question No : 70
To do a certain work, B would take time thrice as long as A and C together and C twice as long as A and B together. The three men together complete the work in 10 days. The time taken by A to complete the work separately is
(1) 25 days
(2) 24 days
(3) 30 days
(4) 20 days
(5) None of these
Question No : 71
Amit, Bhawna and Chandan can do a piece of work, working together in one day only. Amit is 5 times efficient than Bhawna and Chandan takes half of the number of days taken by Bhawna to do the same work. What is the difference between the number of days taken by Amit and Chandan when they work alone?
Question No : 72
A can do a piece of work in 12 days and B in 20 days. If they together work on it for 5 days and remaining work is completed by C in 3 days, then in how many days can C do the same work alone?
(1) 10 days
(2) 9 days
(3) 12 days
(4) 15 days
(5) None of these
Question No : 73
(1) 20
(2) 25
(3) 30
(4) 10
(5) None of these
Question No : 74
A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the works completed. How many approximate days are needed to complete the work?
(1) 8 days
(2) 9 days
(3) 10 days
(4) 11 days
(5) None of these
Question No : 75
A boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres of water every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?
(1) 36 minutes
(2) 42 minutes
(3) 48 minutes
(4) 44 minutes
(5) None of these
Question No : 76
A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?
(1) 72
(2) 84
(3) 108
(4) 120
(5) None of these
Question No : 77
A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 a.m. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m.
(1) 12.45 a.m.
(2) 5 p.m.
(3) 11.45 a.m.
(4) 12 p.m.
(5) None of these
Question No : 78
Two pipes A and B can fill a tank with water in 30 minutes and 45 minutes respectively. The third pipe C can empty the tank in 36 minutes. First A and B are opened. After 12 minutes C is opened. Total time (in minutes) in which the tank will be filled up is:
(1) 12
(2) 24
(3) 30
(4) 36
(5) None of these
