Quiz Discussion

If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in:

• 1] 18 days
• 2] 24 days
• 3] 30 days
• 4] 40 days

A is thrice as good a workman as B and so takes 60 days less than B for doing a job. The time in which they can do the job together is = ?

• 1]

  \(22\frac{1}{2}{ \text{days}}\)

• 2]

  30 days

• 3]

  45 days

• 4]

  60 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]

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

A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall ?

• 1]

  \({ \text{6}}\frac{1}{3}{ \text{ days}}\)

• 2]

  7 days

• 3]

  \({ \text{7}}\frac{1}{3}{ \text{ days}}\)

• 4]

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

A boy and a girl together fill a cistern with water. The boy pours 4 liters of water every 3 minutes and girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

• 1] 36 minute
• 2] 42 minutes
• 3] 48 minutes
• 4] 44 minutes

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

A group of men decided to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning?

• 1] 240
• 2] 140
• 3] 280
• 4] 150
• 5] None of these

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is = ?

• 1] 20 days
• 2] 21 days
• 3] 22 days
• 4] 24 days

Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?

• 1] 16 minutes
• 2] 24 minutes
• 3] 32 minutes
• 4] 40 minutes

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

• 1]

  20 days

• 2]

  \(22\frac{1}{2}\) days

• 3]

  25 days

• 4]

  30 days