Quiz Discussion

If 28 men complete \(\frac{7}{8}\) of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is = ?

• 1] 5
• 2] 6
• 3] 4
• 4] 3

42 women can do a piece of work in 18 days, How many women would be required do the same work in 21 days.

• 1] 35
• 2] 36
• 3] 37
• 4] 38

A can do \(\frac{1}{3}\) rd of work in 5 days and B can do the do \(\frac{2}{5}\)th of this work in 10 days. Both A and B, together can do the work in?

• 1]

  \({ \text{ 7}}\frac{3}{8}{ \text{ days}}\)

• 2]

  \({ \text{8}}\frac{4}{5}{ \text{ days}}\)

• 3]

  \({ \text{9}}\frac{3}{8}{ \text{ days}}\)

• 4]

  10 days

There are three boats A, B and C, working together they carry 60 people in each trip. One day an early morning A carried 50 people in few trips alone. When it stopped carrying the passengers B and C started carrying the people together. It took a total of 10 trips to carry 300 people by A, B and C. It is known that each day on an average 300 people cross the river using only one of the 3 boats A, B and C. How many trips it would take to A to carry 150 passengers alone?

• 1] 15
• 2] 30
• 3] 25
• 4] 10
• 5] None of these

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 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]

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

A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn i.e., first day A does it alone, B does it the second day and C the third day. After that A does it for another day, and so on. After finishing the work they get Rs. 240. If the wages are divided in proportion to the work done by them, find what each will get ?

• 1] A Rs. 24, B Rs. 54, C Rs. 162
• 2] A Rs. 22, B Rs.50, C Rs. 132
• 3] A Rs. 26, B Rs. 52, C Rs. 142
• 4] A Rs. 20, B Rs. 44, C Rs. 182

A can do a work in 15 days and B in 20 days. If they together work on it for 4 days, what fraction of the work will be left ? 

• 1]

  1/13

• 2]

  6/11

• 3]

  9/17

• 4]

  8/15

If one pipe A can fill a tank in 20 minutes, then 5 pipes, each of 20% efficiency of A, can fill the tank in:

• 1] 80 min
• 2] 100 min
• 3] 20 min
• 4] 25 min

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