Quiz Discussion

A group of 12 men can do a piece of work in 14 days and other group of 12 women can do the same work in 21 days. They begin together but 3 days before the completion of work, man's group leaves off. The total number of days to complete the work is:

• 1]

  \(\frac{{65}}{4}\)

• 2]

  \(\frac{{93}}{3}\)

• 3]

  \(\frac{{51}}{5}\)

• 4]

  60

A is thrice good a workman as B and therefore is able to finish a job in 40 days less than B. Working together they can do it in:

• 1] 15 days
• 2] 16 days
• 3] 18 days
• 4] 20 days

A completed \(\frac{7}{{10}} \)of work in 15 days, then he completed the remaining work with the help of B in 4 days. In how many days A and B can complete the entire work together?

• 1]

  \(10\frac{1}{2}{ \text{days}}\)

• 2]

  \(12\frac{2}{3}{ \text{days}}\)

• 3]

  \(13\frac{1}{3}{ \text{days}}\)

• 4]

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

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

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 completed a work together in 5 days. had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work?

• 1] 10 days
• 2] 20 days
• 3] 25 days
• 4] 15 days
• 5] 24 days

A can do a certain work in 12 days. B is 60% more efficient then A. How many days will B and A together take to do the same job?

• 1]

  \(\frac{{80}}{{13}}{ \text{days}}\)

• 2]

  \(\frac{{70}}{{13}}{ \text{days}}\)

• 3]

  \(\frac{{75}}{{13}}{ \text{days}}\)

• 4]

  \(\frac{{60}}{{13}}{ \text{days}}\)

X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in ?

• 1] 27 days
• 2] 36 days
• 3] 42 days
• 4] 18 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

A's 2 days work is equal to B's 3 days work. If A can complete the work in 8 days, then to complete the work B will take ?

• 1] 15 days
• 2] 12 days
• 3] 16 days
• 4] 14 days