Quiz Discussion

A and B together can complete a work in 12 days. B and C together can complete the same work in 8 days and A and C together can complete it in 16 days. In total, how many days do A, B and C together take to complete the same work ?

• 1]

  \({ \text{3}}\frac{5}{{12}}\)

• 2]

  \({ \text{3}}\frac{9}{{13}}\)

• 3]

  \({ \text{7}}\frac{5}{{12}}\)

• 4]

  \({ \text{7}}\frac{5}{{13}}\)

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 and B can together finish a piece of work in 30 days. They worked on it 20 days and then B left. The remaining work was done by A alone in 20 days. A alone can finish the work in = ?

• 1] 60 days
• 2] 54 days
• 3] 48 days
• 4] 50 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 and B working together completed a job in 5 days. If A works twice as efficiently as he actually did and B works \(\frac{1}{3}\) of actual efficiency, the work would have been completed in 3 days. Find the for A to complete the job alone.

• 1]

  \(6\frac{1}{2}\)

• 2]

  \(6\frac{1}{4}\)

• 3]

  \(6\frac{3}{4}\)

• 4]

  \(12\frac{1}{2}\)

• 5]

  None of these

A can do 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] 120 days
• 2] 100 days
• 3] 30 days
• 4] 90 days

Five men are working to complete a work in 15 days. After five days 10 women are accompanied by them to complete the work in next 5 days. If the work is to be done by women only, then in how many days could the work be over if 10 women have started it ?

• 1] 10 days
• 2] 12 days
• 3] 15 days
• 4] 18 days

If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women complete it in ?

• 1] 35 days
• 2] 50 days
• 3] 45 days
• 4] 40 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]

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

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