Quiz Discussion

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

18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work if 7 children alone can complete the piece of work in 486 days ?

• 1] 54 days
• 2] 63 days
• 3] 76 days
• 4] 81 days
• 5] None of these

A does half as much work as B in one-sixth of the time. If together they take 10 days to complete a work. How much time shall B alone take to do it ?

• 1] 30 days
• 2] 40 days
• 3] 50 days
• 4] 70 days

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

If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m ?

• 1] 30
• 2] 10
• 3] 18
• 4] 28

If the work done by (x - 1) men in (x + 1) days and the work done by (x + 2) men in (x - 1) days are in the ratio 9 : 10, then the value of x is equal to ?

• 1] 5
• 2] 6
• 3] 7
• 4] 8

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 complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

• 1]

  8 days

• 2]

  10 days

• 3]

  12 days

• 4]

  15 days

A man is twice as fast as a women and a woman is twice as fast as a boy in doing a work. If all of them, a man , a woman and a boy can finish the work in 7 days, a boy will do it alone ?

• 1] 49 days
• 2] 7 days
• 3] 6 days
• 4] 42 days