Quiz Discussion

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  12 days

There is a group of 5 boys and 2 girls. The two groups working together can do four times as much work as a boy and a girl. Ratio of working capacities of a boy and a girl is:

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

6 women can complete a piece of work in 10 days, whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work?

• 1]

  7

• 2]

  8

• 3]

  6

• 4]

  4

A completes \(\frac{7}{{10}}\) of the work 15 days. Then he completes the remaining work the help of B in 4 days. The time required for A and B together to complete the entire work is = ?

• 1]

  \({ \text{8}}\frac{1}{4}{ \text{days}}\)

• 2]

  \(10\frac{1}{2}{ \text{days}}\)

• 3]

  \(12\frac{2}{3}{ \text{days}}\)

• 4]

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

A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn i.e., first day A does it alone, B does it the second day and C the third day. After that A does it for another day, and so on. After finishing the work they get Rs. 240. If the wages are divided in proportion to the work done by them, find what each will get ?

• 1] A Rs. 24, B Rs. 54, C Rs. 162
• 2] A Rs. 22, B Rs.50, C Rs. 132
• 3] A Rs. 26, B Rs. 52, C Rs. 142
• 4] A Rs. 20, B Rs. 44, C Rs. 182

Two pipes A and B can fill a cistern in 12 min and 16 min respectively. Both the pipes are opened together for a certain time but due to some obstruction, the flow of water was restricted to \(\frac{7}{8}\) of full flow in pipe A and \(\frac{5}{6}\) of full in pipe B. This obstruction is removed after some time and the tank are now filled in 3 min from that moment. How long was it before the full flow?

• 1] 8 min
• 2] 3 min
• 3] 5.6 min
• 4] 4.5 min
• 5] None of these

If 5 men and 3 women can reap 18 acre of crop in 4 days, 3 men and 2 women can reap 22 acre of crop in 8 days, then how many men are required to join 21 women to reap 54 acre of crop in 6 days ?

• 1] 5
• 2] 6
• 3] 10
• 4] 12

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

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

A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was ?

• 1] 100
• 2] 110
• 3] 55
• 4] 50