• 1. 
    9 women can complete a piece of work in 360 days; 18 children can complete the same piece of work in 72 days and 12 men can complete it in 162 days. In how many days, can 4 children, 12 men and 10 women together complete the piece of work?

  • 71
  • 81
  • 61
  • 85
  • 2. 
    A boy and girl fill the cistern together 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?

  • 36 min
  • 42 min
  • 48 min
  • 44 min
  • 3. 
    It takes the same time of 66 days for 12 men to finish the same work as it takes for 24 boys. If we assign this work to 20 men and 10 boys, in how many days will they be able to finish this work?

  • \(39\frac{3}{5}\)
  • \(31\frac{{17}}{{25}}\)
  • \(55\frac{3}{9}\)
  • \(66\frac{3}{7}\)
  • 4. 
    Two inlet pipes can fill a cistern in 10 and 12 hours respectively and an outlet pipe can empty 80 gallons of water per hour. All the three pipes working together can fill the empty cistern in 20 hours. What is the capacity (in gallons) of the tank?

  • 360
  • 300
  • 600
  • 900
  • 5. 
    In what time would a cistern be filled by three pipes whose diameters are 1 cm, \(1\frac{1}{3}cm,\) 2 cm, running together, when the largest alone will fill it in 61 minutes; the amount of water flowing in by each pipe is proportional to the square of its diameter? (nearest whole number value)

  • 12 minutes
  • 24 minutes
  • 36 minutes
  • 42 minutes
  • 6. 
    Three persons started to complete a project for Rs. 1,600. The first person can complete the project in 8 days, the second person in 12 days and the third person in 16 days. They complete the project together with the help of a fourth person in 3 days. What will the fourth person get?

  • Rs. 280
  • Rs. 300
  • Rs. 325
  • Rs. 250
  • 7. 
    A tank has a leak which would empty the completely filled tank in 15 hours. If the tank is empty and a tap is opened which admits 5 litres of water per minute in the tank, If pipe and leakage take 10 hours to fill the tank. What is the capacity of the tank (in litres)?

  • 2400
  • 1800
  • 9000
  • 7200
  • 8. 
    A, B and C can complete a work in 10, 12 and 15 days respectively. All three of them starts together but after 2 days A leaves the job and B left the job 3 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?

  • 5
  • 6
  • 7
  • 8
  • 9. 
    A can complete 50% of a job in 9 days and B can complete 25% of the job in 9 days if they worked alone. If they work together, how much of the job (in %) they can complete in 9 days?

  • 80
  • 90
  • 75
  • 100
  • 10. 
    P is four times as efficient as Q. P can complete a work in 45 days less than Q. If both of them work together, then in how many days the work will be completed?

  • 10
  • 12
  • 15
  • 30
  • 11. 
    A tap can fill a tank in one hour. A second tap can fill it in 30 min. If both the taps operate simultaneously, how much time is needed to fill the tank?

  • 20 min
  • 30 min
  • 40 min
  • 45 min
  • 12. 
    If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days, then in how many days can C alone do the job?

  • 36
  • 6
  • 18
  • 12
  • 13. 
    A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B be kept open alternately for one minute each, how soon will the cistern be filled?

  • 110 minutes
  • 115 minutes
  • 120 minutes
  • 121 minutes
  • 14. 
    Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. If both are opened together and at the end of 3 minutes from starting, P is closed, how much longer will the cistern take to fill?

  • 5 minutes
  • \(8\frac{1}{2}\ minutes\)
  • \(8\frac{1}{4}\ minutes\)
  • \(8\frac{3}{4}\ minutes\)
  • 15. 
    If A had worked alone he would have taken 63 hours to do the task. What is B's share, if A and B work together on a task finishing it in 36 hours and they get paid Rs. 5,950 for it?

  • 3400
  • 3600
  • 2550
  • 2750
  • 16. 
    The number of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?

  • Rs. 1000
  • Rs. 600
  • Rs. 750
  • Rs. 500
  • 17. 
    A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. In how many days C alone can do the job?

  • 24
  • 44
  • 33
  • 20
  • 18. 
    Two pipes A and B can fill a tank with water in 30 minutes and 45 minutes respectively. The water 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:-

  • 12
  • 24
  • 36
  • 30
  • 19. 
    A, B and C together can finish a task in 12 days. A is twice as productive as B, and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?

  • 10
  • 20
  • 15
  • 18
  • 20. 
    A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?

  • 6
  • 12
  • 9
  • 15
  • 21. 
    24 women can complete a work in 45 days. If 18 women are employed, then in how many days the work would be completed?

  • 60
  • 70
  • 85
  • 75
  • 22. 
    A can do a piece of work in 12 days and B in 16 days. A began the work alone, After some days B joined the work. The work was completed in 9 days, in all. How many days before the completion of the work did B join the work?

  • 12
  • 10
  • 4
  • 9
  • 23. 
    Vijay and Sahil together can complete a work in 40 days. Sahil and Ranjit can complete the same work in 48 days and Vijay and Ranjit can complete the same work in 60 days. In how many days can all the three complete the same work while working together?

  • 16
  • 24
  • 32
  • 38
  • 24. 
    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?

  • 12 days
  • 20 days
  • 15 days
  • 18 days
  • 25. 
    P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

  • 12 days
  • 72 days
  • 42 days
  • 36 days
  • 26. 
    A cistern has two pipes. One can fill it with water in 16 hours and the other can empty it in 10 hours. In how many hours will the cistern be emptied if both the pipes are opened together with half of the cistern full of water?

  • \(3\frac{1}{3}\)┬áhours
  • 2hours
  • 10 hours
  • \(13\frac{1}{3}\)┬áhours
  • 27. 
    If 18 boys earn Rs. 1200 in 6 days. How much will 25 boys earn in 9 days?

  • 1500
  • 2000
  • 3000
  • 2500
  • 28. 
    A can do a piece of work in 4 hours. B and C can do the same piece of work together in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

  • 3 hours
  • 4 hours
  • 10 hours
  • 12 hours
  • 29. 
    A and B can together complete a task in 18 hours. After 6 hours A leaves. B takes 36 hours to finish rest of the task. How many hours would A have taken to do the task, if he worked alone?

  • 54
  • 45
  • 21
  • 27
  • 30. 
    A can do 1/3rd of a work in 5 days and B can do 2/5th of this work in 10 days. Both A and B, together can do the work in

  • 7 3/8 days
  • 8 4/5 days
  • 9 3/8 days
  • 10 days
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