Quiz Discussion

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

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

If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it?

• 1] 10 days
• 2] 11 days
• 3] 9 days
• 4] 12 days

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 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

A and B work together to complete the rest of a job in 7 days. However,\(\frac{{37}}{{100}}\) the job was already done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work?

• 1] 20
• 2] 25
• 3] 30
• 4] 10

X takes 4 days to complete one-third of a job. Y takes 3 days to complete one-sixth of the job and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.

• 1] 6 days
• 2] 8.1 days
• 3] 5.1 days
• 4] 7 days
• 5] None of these

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]

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

If 10 persons can do a job in 20 days, then 20 person with twice the efficiency can do the same job in:

• 1] 5 days
• 2] 40 days
• 3] 10 days
• 4] 20 days

If one pipe A can fill a tank in 20 minutes, then 5 pipes, each of 20% efficiency of A, can fill the tank in:

• 1] 80 min
• 2] 100 min
• 3] 20 min
• 4] 25 min