Quiz Discussion

If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for days is = ?

• 1]

  \(\frac{{{{ \text{p}}^{ \text{2}}}}}{{{{ \text{n}}^{ \text{2}}}}}\)

• 2]

  \(\frac{{{{ \text{p}}^{ \text{3}}}}}{{{{ \text{n}}^{ \text{2}}}}}\)

• 3]

  \(\frac{{{{ \text{n}}^{ \text{2}}}}}{{{{ \text{p}}^{ \text{2}}}}}\)

• 4]

  \(\frac{{{{ \text{n}}^{ \text{3}}}}}{{{{ \text{p}}^{ \text{2}}}}}\)

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

A and B together can finish a bit of work in 12 days, B and C can do it in 20 days and C and A do it 15 days. A, B and C together can finish it in

• 1]

  6 days

• 2]

  9 days

• 3]

  10 days

• 4]

  21/2 days

A and B can do a piece of work in 12 days, B and C in 8 days and C and A in 6 days. How long would B take to do the same work alone ?

• 1] 24 days
• 2] 32 days
• 3] 40 days
• 4] 48 days

A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is = ?

• 1] 100 days
• 2] 96 days
• 3] 95 days
• 4] 90 days

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 can do in one day three times the work done by B in one day. They together finish \(\frac{2}{5}\) of the work in 9 days. The number of days by which B can do the work alone is =?

• 1] 90 days
• 2] 120 days
• 3] 100 days
• 4] 30 days

If 2 men or 6 women or 4 boys can finish a work in 99 days, how many days will one man, one woman and one boy together take to finish the same work ?

• 1] 44 days
• 2] 54 days
• 3] 64 days
• 4] 104 days
• 5] None of these

Two forest officials in their respective division were involved in the harvesting of tendu leave. One division had an average output of 21 tons from a hectares and other division, which had 12 hectares of land less, dedicated to tendu leaves, got 25 tons of tendu from a hectare. As a result, the second division harvested 300 tons of tendu leaves more than the first. How many tons of tendu leaves did the first division harvest.

• 1] 3150
• 2] 3450
• 3] 3500
• 4] 3600
• 5] None of these

To complete a piece of work A and B take 8 days, B and C 12 days. A, B and C take 6 days. A and C will take :

• 1] 7 Days
• 2] 7.5 Days
• 3] 8 Days
• 4] 8.5 Days