Quiz Discussion

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

A and B together can complete a work in 12 days. B and C together can complete the same work in 8 days and A and C together can complete it in 16 days. In total, how many days do A, B and C together take to complete the same work ?

• 1]

  \({ \text{3}}\frac{5}{{12}}\)

• 2]

  \({ \text{3}}\frac{9}{{13}}\)

• 3]

  \({ \text{7}}\frac{5}{{12}}\)

• 4]

  \({ \text{7}}\frac{5}{{13}}\)

A can do a piece of work in 12 days and B in 24 days. If they work together, in how many days will they finish the work ?

• 1] 20 days
• 2] 8 days
• 3] 12 days
• 4] 15 days

If 28 men complete \(\frac{7}{8}\) of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is = ?

• 1] 5
• 2] 6
• 3] 4
• 4] 3

Amit, Bhawana and Chandan can do a piece of work, working together in one day only. Amit is 5 times efficient than Bhawna and Chandan takes half of the number of days taken by Bhawna to do the same work. What is the difference between the number of days taken by Amit and Chandan when they work alone ?

• 1]

  4

• 2]

  5

• 3]

  3

• 4]

  \({ \text{2}}\frac{2}{5}\)

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

• 1]

  5

• 2]

  5 1/2

• 3]

  6

• 4]

  8

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 take to do it alone?

• 1] 13.33 days
• 2] 20 days
• 3] 30 days
• 4] 40 days

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

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

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.