Quiz Discussion

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

A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time is = ?

• 1] 75
• 2] 100
• 3] 125
• 4] 50

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for ?

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

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. In how many days C alone can do the same work ?

• 1] 5 days
• 2] 6 days
• 3] 10 days
• 4] 12 days

A cistern can be filled by two pipes in 20 and 30 minutes respectively. Both pipes being opened, when the first pipe must be turned off so that the cistern may be filled in 10 minutes more.

• 1] After 10 minutes
• 2] After 12 minutes
• 3] After 20 minutes
• 4] After 8 minutes

A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they will complete the same work in ?

• 1]

  \(\frac{7}{{24}}{ \text{days}}\)

• 2]

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

• 3]

  4 days

• 4]

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

If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in:

• 1] 48 days
• 2] 36 days
• 3] 45 days
• 4] 50 days

6 men can complete a piece of work in 12 days, 8 women can complete the same piece of work in 18 days and 18 children can do it in 10 days. 4 men, 12 women and 20 children do the work for 2 days. If the remaining work be completed by men only in 1 day, how many men will be required ?

• 1] 36
• 2] 24
• 3] 18
• 4] Cannot be determined

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 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