Quiz Discussion

At a Tech Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belongs to IIT and another to NIT. Each student of IIT works for 10 hours a day till 60 days and each student of NIT works for 8 hours a day till 80 days on the two same project. The ratio of students of IIT and that of NIT is 4:5 respectively. Students of which institution is slower in work and by how much?

• 1] IITian is 20% less efficient
• 2] NITian is 33.33% less efficien
• 3] NIT is 25% less efficient
• 4] IIT is 33.33% less efficient
• 5] Cannot be determined

A, B and C can separately do a work in 12, 15 and 20 days respectively. They started to work together but C left after 2 days. The remaining work will be finished in = ?

• 1] 4 days
• 2] 5 days
• 3] 6 days
• 4] 15 days

12 men can do a piece of work in 15 days and 20 women can do the same work in 12 days. In how many days can 5 men and 5 women complete the same work ?

• 1]

  \({ \text{20}}\frac{4}{7}{ \text{ days}}\)

• 2]

  \({ \text{2}}\frac{4}{7}{ \text{ days}}\)

• 3]

  \({ \text{20}}\frac{3}{7}{ \text{ days}}\)

• 4]

  18 days

Vimal can do a piece of work in 20 days, Vimal and Kamal together can do in 12 days. If Kamal does the work only for half a day daily then in how many days the work will be completed ?

• 1] 14
• 2] 17
• 3] 12
• 4] 15

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]

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

Anuj and Manoj can together paint their house in 30 days. After working for 20 days, Anuj has to go out and Manoj finished the remaining working the next 30 days. If Manoj had gone away after 20 days instead of Anuj, then Anuj would have completed the remaining work in ?

• 1] 15 days
• 2] 20 days
• 3] 25 days
• 4] 35 days

25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in days. How many boys must help 40 men to do the same work in 4 days ?

• 1] 5
• 2] 10
• 3] 20
• 4] 40

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

• 1]

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

• 2]

  \(\frac{1}{{10}}\)

• 3]

  \(\frac{7}{{15}}\)

• 4]

  \(\frac{8}{{15}}\)

16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work ?

• 1] 4 days
• 2] 6 days
• 3] 8 days
• 4] 10 days

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