Quiz Discussion

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

Find in what ratio will the total wages of the workers of a factory be increased or decreased if there is a reduction in the number of workers in the ratio 13 : 10 and an increment in their wages in the ratio 15: 26.

• 1]

  6/5

• 2]

  1/5

• 3]

  3/5

• 4]

  7/6

A and B can compete a piece of work in 18 days. They worked together for 12 days and then A left. B alone finished the work in 15 days. If Rs. 1500 be paid for the work then A's share is:

• 1] Rs. 750
• 2] Rs. 800
• 3] Rs. 600
• 4] Rs. 900

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

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

Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern?

• 1] 12 min
• 2] 16 min
• 3] 18 min
• 4] 15 min
• 5] None of these

Raj can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijit joined and completed it working for 10 days. In how many days Raj and Abhijit can do the complete work, working together?

• 1] 6
• 2] 8
• 3] 10
• 4] 12

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

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days ?

• 1] 4 days
• 2] 2 days
• 3] 1 day
• 4] 10 days

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

• 1]

  30 days

• 2]

  40 days

• 3]

  60 days

• 4]

  70 days