Quiz Discussion

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]

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

Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in:

• 1] 3 days
• 2] 4 days
• 3] 4.5 days
• 4] 5.4 days

Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in:

• 1] 7.5 hr
• 2] 8 hr
• 3] 8.5 hr
• 4] 10 hr

A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier ?

• 1] 100
• 2] 60
• 3] 75
• 4] None of these

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

P is thrice as good a workman as Q and together they finish a piece of work in 24 days. The number of days taken by P alone to finish the work is:

• 1]

  25 days

• 2]

  22 days

• 3]

  32 days

• 4]

  34 days

A group of men decided to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning?

• 1] 240
• 2] 140
• 3] 280
• 4] 150
• 5] None of these

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?

• 1]

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

• 2]

  14 days

• 3]

  15 days

• 4]

  \(16\frac{2}{3}{ \text{days}}\)

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 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