Quiz Discussion

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  12 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

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 job can be done by 3 skilled workmen in 20 days or by 5 boys in 30 days. How many days will they take if they work together ?

• 1] 8 days
• 2] 10 days
• 3] 11 days
• 4] 12 days

A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in = ?

• 1] 5 days
• 2] 6 days
• 3] 7 days
• 4] 8 days

A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone then he do the work in ?

• 1] 60 hours
• 2] 50 hours
• 3] 25 hours
• 4] 10 hours

A group of workers was put on a job. From second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?

• 1] 15
• 2] 14
• 3] 12
• 4] 10
• 5] 8

An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time.

• 1] 43
• 2] 45
• 3] 55
• 4] 68
• 5] 60

If 10 persons can do a job in 20 days, then 20 person with twice the efficiency can do the same job in:

• 1] 5 days
• 2] 40 days
• 3] 10 days
• 4] 20 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