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

Subhash can copy 50 pages in 10 hours; Subhash and Prakash together can copy 300 pages in 40 hours. In how much time can Prakash copy 30 pages?

• 1] 13 hour
• 2] 12 hour
• 3] 11 hour
• 4] 9 hour
• 5] 10 hour

A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together ?

• 1] 4 days
• 2] 6 days
• 3] 9 days
• 4] 18 days

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

• 1]

  5 days

• 2]

  6 days

• 3]

  10 days

• 4]

  10* 1/2 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

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

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

Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank filled up in:

• 1] 39 min.
• 2] 46 min
• 3] 40 min.
• 4] 45 min.

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

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