Quiz Discussion

A and B can do a job in 7 days. A is \({ \text{1}}\frac{3}{4}\) times as efficient as B. The same job can be done by A alone in?

• 1]

  \(9\frac{1}{3}{ \text{days}}\)

• 2]

  11 days

• 3]

  \(12\frac{1}{4}{ \text{days}}\)

• 4]

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

A and B together can complete a work in 12 days. B and C together can complete the same work in 8 days and A and C together can complete it in 16 days. In total, how many days do A, B and C together take to complete the same work ?

• 1]

  \({ \text{3}}\frac{5}{{12}}\)

• 2]

  \({ \text{3}}\frac{9}{{13}}\)

• 3]

  \({ \text{7}}\frac{5}{{12}}\)

• 4]

  \({ \text{7}}\frac{5}{{13}}\)

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 \(\frac{1}{3}\) rd of work in 5 days and B can do the do \(\frac{2}{5}\)th of this work in 10 days. Both A and B, together can do the work in?

• 1]

  \({ \text{ 7}}\frac{3}{8}{ \text{ days}}\)

• 2]

  \({ \text{8}}\frac{4}{5}{ \text{ days}}\)

• 3]

  \({ \text{9}}\frac{3}{8}{ \text{ days}}\)

• 4]

  10 days

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 together can finish a work in 9 days. A alone can finish the work in 12 days. In how many days will B alone finish the work?

• 1]

  24

• 2]

  28

• 3]

  32

• 4]

  36

A company employed 200 workers to complete a certain work in 150 days. If only \(\frac{1}{4}\) th of the work had been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed were?

• 1] 100
• 2] 600
• 3] 300
• 4] 200

A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall ?

• 1]

  \({ \text{6}}\frac{1}{3}{ \text{ days}}\)

• 2]

  7 days

• 3]

  \({ \text{7}}\frac{1}{3}{ \text{ days}}\)

• 4]

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

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

Two forest officials in their respective division were involved in the harvesting of tendu leave. One division had an average output of 21 tons from a hectares and other division, which had 12 hectares of land less, dedicated to tendu leaves, got 25 tons of tendu from a hectare. As a result, the second division harvested 300 tons of tendu leaves more than the first. How many tons of tendu leaves did the first division harvest.

• 1] 3150
• 2] 3450
• 3] 3500
• 4] 3600
• 5] None of these