Quiz Discussion

There is a group of 5 boys and 2 girls. The two groups working together can do four times as much work as a boy and a girl. Ratio of working capacities of a boy and a girl is:

• 1] 2 : 1
• 2] 2 : 3
• 3] 1 : 3
• 4] 1 : 2

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

Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank filled up in:

• 1] 39 min.
• 2] 46 min
• 3] 40 min.
• 4] 45 min.

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 can complete a piece of work in 10 days, B in 15 days and C in 20 days. A and C together for 2 days and A was replaced by B. In how many days, altogether, was the work complete ?

• 1] 6 days
• 2] 8 days
• 3] 15 days
• 4] 16 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]

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

A can complete a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work the work together but A left 8 days before the completion of the work and B 12 days before the completion of work. Only C worked up to the end. In how many days was the work completed?

• 1] 24 days
• 2] 25 days
• 3] 27 days
• 4] 30 days

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work ?

• 1] 20 days
• 2] 10 days
• 3] 4 days
• 4] 15 days

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

A and B together can complete a particular task in 4 days. If A alone can complete the same task in 12 days. How many days will B take to complete the task if he works alone?

• 1]

  9 days

• 2]

  7 days

• 3]

  5 days

• 4]

  3 days

• 5]

  None of these