Quiz Discussion

4 men and 10 women were put on work. They completed \(\frac{1}{3}\) of the work in 4 days. After this 2 men and 2 women were increased. They completed \(\frac{2}{9}\) more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?

• 1] 8
• 2] 32
• 3] 50
• 4] 55

If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in:

• 1] 18 days
• 2] 24 days
• 3] 30 days
• 4] 40 days

A can build a wall in the same time in which B and C together can do it. If A and B together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it ?

• 1] 91 days
• 2] 100 days
• 3] 175 days
• 4] None of these

The laborer's A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days, A and C together can do it in 12 days, while A and B together can do it in \({ \text{13}}\frac{1}{3}\) days. The money will be divided in the ratio?

• 1] 4 : 5 : 6
• 2] 4 : 7 : 5
• 3] 5 : 7 : 4
• 4] 5 : 6 : 8

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

A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?

• 1]

  2:5

• 2]

  2:7

• 3]

  3:7

• 4]

  1:5

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

• 1] 9 days
• 2] 10 days
• 3] 6 days
• 4] 8 days

60 men could complete a piece of work in 250 days. They worked together for 200 days. After that work had to be stopped for 10 days due to bad weather. How many more men should be engaged to complete the work in time ?

• 1] 10
• 2] 15
• 3] 18
• 4] 20

A can do a piece of work in 5 days less than the time taken by B to do it. If both of them together take \({ \text{11}}\frac{1}{9}\) days, then the time taken by B alone to do the same work (in days ) is?

• 1] 15 days
• 2] 20 days
• 3] 25 days
• 4] 30 days

A and B together can complete a particular task in 4 days. If A alone can complete the same task in 12 days. How many days will B take to complete the task if he works alone?

• 1]

  9 days

• 2]

  7 days

• 3]

  5 days

• 4]

  3 days

• 5]

  None of these