Quiz Discussion

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days ?

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

A contractor undertake to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the work in men, how many days behind the scheduled the work should have been finished ?

• 1] 5
• 2] 6
• 3] 7
• 4] 8

Two men undertake to do a piece of work for Rs. 1400. The first man alone can do this work in 7 days while the second man alone can do this work in 8 days. If they working together complete this work in 3 days with the help of a boy, how should the money be divided ?

• 1] Rs. 600, Rs. 550, Rs. 250
• 2] Rs. 600, Rs. 525, Rs. 275
• 3] Rs. 600, Rs. 500, Rs. 300
• 4] Rs. 500, Rs. 525, Rs. 375

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 alone take to do it ?

• 1] 30 days
• 2] 40 days
• 3] 50 days
• 4] 70 days

A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work ?

• 1] 8 days
• 2] 9 days
• 3] 10 days
• 4] 11 days

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]

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

If m men can do a work in r days, then the number of days taken by (m + n) men to do it is :

• 1]

  \(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mn}}}}\)

• 2]

  \(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mr}}}}\)

• 3]

  \(\frac{{{ \text{mr}}}}{{{ \text{m}} + { \text{n}}}}\)

• 4]

  \(\frac{{{ \text{r}}\left( {{ \text{m}} + { \text{n}}} \right)}}{{{ \text{mn}}}}\)

A can do a work in 15 days and B in 20 days. If they together work on it for 4 days, what fraction of the work will be left ? 

• 1]

  1/13

• 2]

  6/11

• 3]

  9/17

• 4]

  8/15

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  18 days

A and B can together finish a work in 30 days. They worked together for 20 days and B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?

• 1] 40 days
• 2] 50 days
• 3] 54 days
• 4] 60 days