Quiz Discussion

A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and forced to leave after 2 days. The time taken by A alone to complete the remaining work is:

• 1] 10 days
• 2] 12 days
• 3] 15 days
• 4] 16 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

A and B working together completed a job in 5 days. If A works twice as efficiently as he actually did and B works \(\frac{1}{3}\) of actual efficiency, the work would have been completed in 3 days. Find the for A to complete the job alone.

• 1]

  \(6\frac{1}{2}\)

• 2]

  \(6\frac{1}{4}\)

• 3]

  \(6\frac{3}{4}\)

• 4]

  \(12\frac{1}{2}\)

• 5]

  None of these

25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in days. How many boys must help 40 men to do the same work in 4 days ?

• 1] 5
• 2] 10
• 3] 20
• 4] 40

If 3 men or 9 boys can finish a piece of work in 21 days, in how many days can 5 men and 6 boys together do the same piece of work ?

• 1] 8 days
• 2] 12 days
• 3] 14 days
• 4] Cannot be determined
• 5] None of these

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

• 1]

  3 : 4

• 2]

  4 : 3

• 3]

  5 : 3

• 4]

  Data Inadequate

A can do a piece of work in 6 days. B is 25% more efficient than A. How long would B alone take to finish this work ?

• 1]

  \({ \text{ 4}}\frac{4}{5}{ \text{ days}}\)

• 2]

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

• 3]

  \({ \text{ 5}}\frac{1}{4}{ \text{ days}}\)

• 4]

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

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

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

• 1]

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

• 2]

  \(\frac{1}{{10}}\)

• 3]

  \(\frac{7}{{15}}\)

• 4]

  \(\frac{8}{{15}}\)

A can do half of a piece of work in 1 day,where B can do full. B can do half the work as C in 1 day. The ratio of their efficiencies of work is = ?

• 1] 1 : 2 : 4
• 2] 2 : 1 : 4
• 3] 4 : 2 : 1
• 4] 2 : 4 : 1