Quiz Discussion

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

• 1]

  \(9\frac{1}{5}\) days

• 2]

  \(9\frac{2}{7}\) days

• 3]

  \(9\frac{3}{5}\) days

• 4]

  10

A can write 75 pages in 25 hours. A and B together can write 135 pages in 27 hours. In what time can B write 42 pages ?

• 1] 17 hrs
• 2] 19 hrs
• 3] 21 hrs
• 4] 23 hrs

Some carpenters promised to do a job in 9 days but 5 of them were absent and remaining men did the job in 12 day. The original number of carpenters was ?

• 1] 24
• 2] 20
• 3] 16
• 4] 18

A can do a piece of work in 12 days and B in 24 days. If they work together, in how many days will they finish the work ?

• 1] 20 days
• 2] 8 days
• 3] 12 days
• 4] 15 days

40 men can complete a piece of work in 15 days. 20 more men joined them after 5 days they start doing work. How many days will be required by them to finish the remaining work ?

• 1]

  \({ \text{7}}\frac{2}{3}{ \text{ days}}\)

• 2]

  \({ \text{6}}\frac{1}{5}{ \text{ days}}\)

• 3]

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

• 4]

  \({ \text{6}}\frac{2}{3}{ \text{ days}}\)

A man and a boy can do a piece of work in 24 days. If the man works alone for the last 6 days, it is completed in 26 days. How long would the boy take to do it alone ?

• 1] 20 days
• 2] 24 days
• 3] 36 days
• 4] 72 days

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.

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]

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

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?

• 1]

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

• 2]

  14 days

• 3]

  15 days

• 4]

  \(16\frac{2}{3}{ \text{days}}\)

A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before completion. The number of days for which C worked is

• 1]

  4

• 2]

  8

• 3]

  12

• 4]

  24