Quiz Discussion

P is thrice as good a workman as Q and together they finish a piece of work in 24 days. The number of days taken by P alone to finish the work is:

• 1]

  25 days

• 2]

  22 days

• 3]

  32 days

• 4]

  34 days

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 can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work. A leaves off. The total number of days to complete the work is ?

• 1]

  \({ \text{6}}\frac{3}{5}\)

• 2]

  \({ \text{8}}\frac{1}{2}\)

• 3]

  \({ \text{10}}\frac{1}{5}\)

• 4]

  \({ \text{13}}\frac{1}{2}\)

Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all three pipes are open, empty tanks become full in one hour. The capacity of the tank (in gallons) is:

• 1] 800 gallons
• 2] 600 gallons
• 3] 500 gallons
• 4] 400 gallons

Kamal can do a work in 15 days. Bimal is 50% more efficient then Kamal. The number of days, Bimal will take to do the same piece of work, is = ?

• 1]

  \(7\frac{1}{2}\)

• 2]

  10

• 3]

  12

• 4]

  14

Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern?

• 1] 12 min
• 2] 16 min
• 3] 18 min
• 4] 15 min
• 5] None of these

Three friends Anne, Bob and Chris work together to do a certain job. Time it takes them to do the work together to do a certain job. The it takes them to do the work together is 6 hours less than Anne would have take alone, 1 hour less than Bob would have taken alone and half the time Chris would have taken working alone text. How long did it take them to complete the job, working together ?

• 1] 20 minutes
• 2] 30 minutes
• 3] 40 minutes
• 4] 50 minutes

Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?

• 1] 16 minutes
• 2] 24 minutes
• 3] 32 minutes
• 4] 40 minutes

A does 20% less work than B. If A can complete a piece of work in \({ \text{7}}\frac{1}{2}\) hours, then B can do it in?

• 1] 5 hours
• 2] 4 hours
• 3] 6 hours
• 4] 7 hours

16 men can finish a piece of work in 49 days. 14 men started working and 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days. How many more men should be added to the existing workforce ?

• 1] 21
• 2] 28
• 3] 16
• 4] 14