## Aptitude Pipes and Cisterns Test Paper 11) A pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time, the tank can be filled in - 10 hours
- 12 hours
- 14 hours
- 16 hours
Correct answer; option (B)
Part of the tank filled in one hour = Net part of the tank filled in one hour; = - Part of the tank can be filled in one hour. ∴ The tank will be filled completely in 12 hours.
Apply formula; = X = 6 hours and Y = 12 hours ∴ = 12 hours 2) Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together? - 3.7 minutes
- 4 minutes
- 4.5 minutes
- 5 minutes
Correct answer; option (A)
Part of the tank filled by A in one minute = Part of the tank filled by B in one minute = Part of the tank filled by C in one minute = Net part of the tank filled by A+B+C in one minute; = + + = Part of the cistern is filled in one minute. ∴ The whole tank will be filled in = 3.7 minutes 3) Two pipes can fill a tank in 6 hours and 8 hours respectively. A third pipe can empty the same tank in 12 hours. If all the pipes start working together, how long it will take to fill the tank? - 4 hours
- 4.5 hours
- 4.8 hours
- 5.2 hours
Part of the tank filled by two pipes in one hour = + Part of the tank emptied by the third pipe in one hour = ∴ Net part of the tank filled in one hour = + - = Part of tank can be filled in one hour ∴ The whole tank will be filled in = 4.8 hours 4) A tank can be filled in 10 hours. After a leak in its bottom, it takes 12 hours to fill the tank. Find the time taken by the leak to empty the full tank? - 45 hours
- 60 hours
- 50 hours
- 55 hours
Correct Option (B)
Part of the tank filled in one hour before the leak = Part of the tank filled in one hour after the leak = Part of the tank emptied in one hour by the leak = - part of tank will be emptied in one hour by the leak ∴ The full tank will be emptied by the leak in 60 hours.
Apply formula; = X = 10 hours Y = 12 hours ∴ = 60 hours 5) Two pipes can fill a tank in 10 and 14 minutes respectively. A third pipe can empty the tank at the rate of10 liters/minute. If all the pipes working together can fill the empty tank in 8 minutes,what is the capacity of the tank? - 210 liters
- 215.4 liters
- 220 liters
- 225.4 liters
Correct answer; option (B)
Let the capacity of the tank is X liters. Part of the tank filled by two pipes in one minute = 1/10 + 1/14 10 liters is emptied in 1 minute X liters will be emptied in X/10 minutes In X/10 minutes the whole tank will be emptied. In one minute 10/X part of the tank will be emptied. As per question; Aptitude Pipes and Cisterns Test Paper 2 Aptitude Pipes and Cisterns Test Paper 3 Pipes and Cisterns Concepts Next TopicAptitude Pipes and Cisterns Test Paper 2 |