Quiz Discussion

10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ?

• 1] 6 hours/day
• 2] 10 hours/day
• 3] 12 hours/day
• 4] 15 hours/day

A completes \(\frac{7}{{10}}\) of the work 15 days. Then he completes the remaining work the help of B in 4 days. The time required for A and B together to complete the entire work is = ?

• 1]

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

• 2]

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

• 3]

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

• 4]

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

Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together. What time would they take to do the work together ?

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

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

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

A can write 75 pages in 25 hours. A and B together can write 135 pages in 27 hours. In what time can B write 42 pages ?

• 1] 17 hrs
• 2] 19 hrs
• 3] 21 hrs
• 4] 23 hrs

A contractor undertook to finish a work in 92 days and employed 110 men. After 48 days, he found that he had already done \(\frac{3}{5}\) part of the work, the number of men he can withdraw so that his work may still be finished in time is?

• 1] 45
• 2] 40
• 3] 35
• 4] 30

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

A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is ?

• 1] Rs. 50
• 2] Rs. 100
• 3] Rs. 150
• 4] Rs. 200

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]

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