Quiz Discussion

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

A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ?

• 1]

  \({ \text{14}}\frac{1}{3}{ \text{ days}}\)

• 2]

  \({ \text{15}}\frac{2}{3}{ \text{ days}}\)

• 3]

  \({ \text{16}}\frac{1}{3}{ \text{ days}}\)

• 4]

  \({ \text{18}}\frac{2}{3}{ \text{ days}}\)

10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ?

• 1] 6 hours/day
• 2] 10 hours/day
• 3] 12 hours/day
• 4] 15 hours/day

A completed \(\frac{7}{{10}} \)of work in 15 days, then he completed the remaining work with the help of B in 4 days. In how many days A and B can complete the entire work together?

• 1]

  \(10\frac{1}{2}{ \text{days}}\)

• 2]

  \(12\frac{2}{3}{ \text{days}}\)

• 3]

  \(13\frac{1}{3}{ \text{days}}\)

• 4]

  \(8\frac{1}{4}{ \text{days}}\)

A is thrice good a workman as B and therefore is able to finish a job in 40 days less than B. Working together they can do it in:

• 1] 15 days
• 2] 16 days
• 3] 18 days
• 4] 20 days

A does 20% less work than B. If A can complete a piece of work in \({ \text{7}}\frac{1}{2}\) hours, then B can do it in?

• 1] 5 hours
• 2] 4 hours
• 3] 6 hours
• 4] 7 hours

A contractor undertook to finish a work in 92 days and employed 110 men. After 48 days, he found that he had already done \(\frac{3}{5}\) part of the work, the number of men he can withdraw so that his work may still be finished in time is?

• 1] 45
• 2] 40
• 3] 35
• 4] 30

A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time. Then B left the work. If A completed the rest of the work in 10 days, then B worked for

• 1]

  6 days

• 2]

  8 days

• 3]

  12 days

• 4]

  16 days

Three men A, B, C working together can do a job in 6 hours less time than A alone, in one hour less time than B alone and in one half the time needed by C when working alone. Then A and B together can do the job in:

• 1]

  \(\frac{2}{3}\) hours

• 2]

  \(\frac{3}{4}\) hours

• 3]

  \(\frac{3}{2}\) hours

• 4]

  \(\frac{4}{3}\) hours

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] 75
• 2] 100
• 3] 125
• 4] 50