Quiz Discussion

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

A can do a certain work in 12 days. B is 60% more efficient then A. How many days will B and A together take to do the same job?

• 1]

  \(\frac{{80}}{{13}}{ \text{days}}\)

• 2]

  \(\frac{{70}}{{13}}{ \text{days}}\)

• 3]

  \(\frac{{75}}{{13}}{ \text{days}}\)

• 4]

  \(\frac{{60}}{{13}}{ \text{days}}\)

4 mat-weavers can weave 4 mats in 4 days. At the same rate how many mats would be woven by 8 mat-weavers in 8 days ?

• 1] 4
• 2] 8
• 3] 12
• 4] 16

Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes will Q fill the cistern?

• 1]

  7 minutes

• 2]

  \(7\frac{1}{2}\) minutes

• 3]

  8 minutes

• 4]

  \(8\frac{1}{4}\) minutes

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

• 1]

  \(\frac{1}{4}\)

• 2]

  \(\frac{1}{{10}}\)

• 3]

  \(\frac{7}{{15}}\)

• 4]

  \(\frac{8}{{15}}\)

A cistern can be filled by two pipes in 20 and 30 minutes respectively. Both pipes being opened, when the first pipe must be turned off so that the cistern may be filled in 10 minutes more.

• 1] After 10 minutes
• 2] After 12 minutes
• 3] After 20 minutes
• 4] After 8 minutes

12 men can do a piece of work in 15 days and 20 women can do the same work in 12 days. In how many days can 5 men and 5 women complete the same work ?

• 1]

  \({ \text{20}}\frac{4}{7}{ \text{ days}}\)

• 2]

  \({ \text{2}}\frac{4}{7}{ \text{ days}}\)

• 3]

  \({ \text{20}}\frac{3}{7}{ \text{ days}}\)

• 4]

  18 days

A, B and C can complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work 5 days before its completion. B also left the work 2 days after A left. In how many days was the work completed ?

• 1] 4
• 2] 5
• 3] 7
• 4] 8

A and B completed a work together in 5 days. had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work?

• 1] 10 days
• 2] 20 days
• 3] 25 days
• 4] 15 days
• 5] 24 days

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] 8 days
• 2] 6 days
• 3] 8 days
• 4] 12 days