Quiz Discussion

Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?

• 1] 16 minutes
• 2] 24 minutes
• 3] 32 minutes
• 4] 40 minutes

If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for days is = ?

• 1]

  \(\frac{{{{ \text{p}}^{ \text{2}}}}}{{{{ \text{n}}^{ \text{2}}}}}\)

• 2]

  \(\frac{{{{ \text{p}}^{ \text{3}}}}}{{{{ \text{n}}^{ \text{2}}}}}\)

• 3]

  \(\frac{{{{ \text{n}}^{ \text{2}}}}}{{{{ \text{p}}^{ \text{2}}}}}\)

• 4]

  \(\frac{{{{ \text{n}}^{ \text{3}}}}}{{{{ \text{p}}^{ \text{2}}}}}\)

Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together?

• 1] 1 hour
• 2] 2 hours
• 3] 3 hours
• 4] 4 hours
• 5] 5 hours

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 can do a piece of work in 4 hours, B and C together in 3 hours, and A and C together in 2 hours. How long will B alone take to do it ?

• 1] 8 hours
• 2] 10 hours
• 3] 12 hours
• 4] 24 hours

Shashi can do piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is = ?

• 1] 15
• 2] 25
• 3] 18
• 4] 16

If 2 men or 6 women or 4 boys can finish a work in 99 days, how many days will one man, one woman and one boy together take to finish the same work ?

• 1] 44 days
• 2] 54 days
• 3] 64 days
• 4] 104 days
• 5] None of these

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  18 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, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they will complete the same work in ?

• 1]

  \(\frac{7}{{24}}{ \text{days}}\)

• 2]

  \({ \text{3}}\frac{3}{7}{ \text{days}}\)

• 3]

  4 days

• 4]

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