Quiz Discussion

A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall ?

• 1]

  \({ \text{6}}\frac{1}{3}{ \text{ days}}\)

• 2]

  7 days

• 3]

  \({ \text{7}}\frac{1}{3}{ \text{ days}}\)

• 4]

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

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

P and Q together can do a job in 6 days. Q and R can finish the same job in \(\frac{{60}}{7}\) days. P started the work and worked for 3 days. Q and R continued for 6 days to finish the work. Then the difference of days in which R and P can complete the alone is P can complete the job alone is ?

• 1] 10 days
• 2] 8 days
• 3] 12 days
• 4] 15 days

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

• 1] Rs. 375
• 2] Rs. 400
• 3] Rs. 600
• 4] Rs. 800

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

A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time. Then B left the work. If A completed the rest of the work in 10 days, then B worked for

• 1]

  6 days

• 2]

  8 days

• 3]

  12 days

• 4]

  16 days

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

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 man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone then he do the work in ?

• 1] 60 hours
• 2] 50 hours
• 3] 25 hours
• 4] 10 hours

Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ?

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