Quiz Discussion

Two persons having different productivity of labour, working together can reap a field in 2 days. If one-third of the field was reaped by the first man and rest by the other one working alternatively took 4 days. How long did it take for the faster person to reap the whole field working alone?

• 1] 3
• 2] 6
• 3] 8
• 4] 12
• 5] None of these

A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and forced to leave after 2 days. The time taken by A alone to complete the remaining work is:

• 1] 10 days
• 2] 12 days
• 3] 15 days
• 4] 16 days

A does half as much work as B in one -sixth of the time.If together they take 10 days to complete a work, how much time shall B take to do it alone?

• 1] 13.33 days
• 2] 20 days
• 3] 30 days
• 4] 40 days

Three men A, B, C working together can do a job in 6 hours less time than A alone, in one hour less time than B alone and in one half the time needed by C when working alone. Then A and B together can do the job in:

• 1]

  \(\frac{2}{3}\) hours

• 2]

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

• 3]

  \(\frac{3}{2}\) hours

• 4]

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

40 men can complete a piece of work in 15 days. 20 more men joined them after 5 days they start doing work. How many days will be required by them to finish the remaining work ?

• 1]

  \({ \text{7}}\frac{2}{3}{ \text{ days}}\)

• 2]

  \({ \text{6}}\frac{1}{5}{ \text{ days}}\)

• 3]

  \({ \text{8}}\frac{1}{4}{ \text{ days}}\)

• 4]

  \({ \text{6}}\frac{2}{3}{ \text{ days}}\)

An employee pays Rs. 26 for each day a worker and forfeits Rs. 7 for each day he idle. At the end of 56 days, if the worker got Rs. 829, for how many days did the worker remain idle?

• 1] 21
• 2] 15
• 3] 19
• 4] 13
• 5] 17

A can do half of a piece of work in 1 day,where B can do full. B can do half the work as C in 1 day. The ratio of their efficiencies of work is = ?

• 1] 1 : 2 : 4
• 2] 2 : 1 : 4
• 3] 4 : 2 : 1
• 4] 2 : 4 : 1

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 and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  12 days

Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern?

• 1] 12 min
• 2] 16 min
• 3] 18 min
• 4] 15 min
• 5] None of these