Quiz Discussion

Working together B and C take 50% more number of days than A, B and C together take and A and B working together, take \(\frac{8}{3} \)more number of days than A, B and C take together. If A, B, and C all have worked together till the completion of the work and B has received Rs. 120 out of total earnings of Rs. 450, then in how many days did A, B and C together complete the whole work?

• 1] 2 days
• 2] 4 days
• 3] 6 days
• 4] 8 days
• 5] 10 days

A can do a bit of work in 8 hours while B along can do it in 12 hours. Both A and B cooperating can complete the work in:

• 1]

  10 hours

• 2]

  4 hours

• 3]

  21/4 hours

• 4]

  24/5 hours

A can do a work in 15 days and B in 20 days. If they together work on it for 4 days, what fraction of the work will be left ? 

• 1]

  1/13

• 2]

  6/11

• 3]

  9/17

• 4]

  8/15

Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern?

• 1] 12 min
• 2] 16 min
• 3] 18 min
• 4] 15 min
• 5] None of these

18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work if 7 children alone can complete the piece of work in 486 days ?

• 1] 54 days
• 2] 63 days
• 3] 76 days
• 4] 81 days
• 5] None of these

A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank is 2.5 hours. What is the capacity of the tank?

• 1] 200 liters
• 2] 350 liters
• 3] 456 liters
• 4] 567 liters
• 5] None of these

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 two more days, B alone could do the work in

• 1] 5 days
• 2] 6 days
• 3] 9 days
• 4] 10 days

A man is twice as fast as a women 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 days
• 2] 7 days
• 3] 6 days
• 4] 42 days

A can write 75 pages in 25 hours. A and B together can write 135 pages in 27 hours. In what time can B write 42 pages ?

• 1] 17 hrs
• 2] 19 hrs
• 3] 21 hrs
• 4] 23 hrs

Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes will Q fill the cistern?

• 1]

  7 minutes

• 2]

  \(7\frac{1}{2}\) minutes

• 3]

  8 minutes

• 4]

  \(8\frac{1}{4}\) minutes