Quiz Discussion

A and B together can do a piece of work in 30 days, B and C together can do it in 20 days, A starts the work and works on it for 5 days, B takes up and work for 15 days. Finally C finishes the work in 18 days. The number of days in which C alone can do the work where doing it separately is = ?

• 1] 120 days
• 2] 40 days
• 3] 60 days
• 4] 24 days

4 men and 10 women were put on work. They completed \(\frac{1}{3}\) of the work in 4 days. After this 2 men and 2 women were increased. They completed \(\frac{2}{9}\) more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?

• 1] 8
• 2] 32
• 3] 50
• 4] 55

Two pipes A and B can fill a cistern in 12 min and 16 min respectively. Both the pipes are opened together for a certain time but due to some obstruction, the flow of water was restricted to \(\frac{7}{8}\) of full flow in pipe A and \(\frac{5}{6}\) of full in pipe B. This obstruction is removed after some time and the tank are now filled in 3 min from that moment. How long was it before the full flow?

• 1] 8 min
• 2] 3 min
• 3] 5.6 min
• 4] 4.5 min
• 5] None of these

A can do a piece of work in 15 days, which B can do it in 10 days. B worked at it for 8 days. A can finish the remaining work in?

• 1] 2 days
• 2] 3 days
• 3] 5 days
• 4] 10 days

16 men can finish a work in 24 days and 48 boys can finish the same work in 16 days. 12 men started the work and after 4 days 12 boys joined them. In how many days can they finish the remaining work ?

• 1] 6
• 2] 12
• 3] 16
• 4] None of these

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

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

• 1] 4 days
• 2] 5 days
• 3] 6 days
• 4] 7 days

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

A can do a piece of work in 5 days less than the time taken by B to do it. If both of them together take \({ \text{11}}\frac{1}{9}\) days, then the time taken by B alone to do the same work (in days ) is?

• 1] 15 days
• 2] 20 days
• 3] 25 days
• 4] 30 days

P and Q together can do a job in 6 days. Q and R can finish the same job in \(\frac{{60}}{7}\) days. P started the work and worked for 3 days. Q and R continued for 6 days to finish the work. Then the difference of days in which R and P can complete the alone is P can complete the job alone is ?

• 1] 10 days
• 2] 8 days
• 3] 12 days
• 4] 15 days