Quiz Discussion

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

• 1]

  \(\frac{1}{4}\)

• 2]

  \(\frac{1}{{10}}\)

• 3]

  \(\frac{7}{{15}}\)

• 4]

  \(\frac{8}{{15}}\)

20 men can do a piece of work in 18 days. They worked together for 3 days, then 5 men joined. In how many days is the remaining work completed ?

• 1] 12 days
• 2] 14 days
• 3] 13 days
• 4] 15 days

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only \({\frac{5}{8}}\) th of the road had been constructed. To complete the work in stipulated time the number of extra labours required are ?

• 1] 16
• 2] 12
• 3] 10
• 4] 18

A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man's efficiency in the work was thrice times that of the boy. What are the daily wages of the boy?

• 1] Rs. 76
• 2] Rs. 56
• 3] Rs. 44
• 4] Rs. 40

If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is Rs. 450, then how many burners can be used for 10 days at 5 hours a day for Rs. 625 ?

• 1] 12
• 2] 16
• 3] 4
• 4] 8

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

An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time.

• 1] 43
• 2] 45
• 3] 55
• 4] 68
• 5] 60

If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?

• 1] 60
• 2] 45
• 3] 40
• 4] 30

A man is twice as fast as a women and a woman is twice as fast as a boy in doing a work. If all of them, a man , a woman and a boy can finish the work in 7 days, a boy will do it alone ?

• 1] 49 days
• 2] 7 days
• 3] 6 days
• 4] 42 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]

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