Question : Two pipes A and B can fill a tank in 12 minutes and 24 minutes, respectively, while a third pipe C can empty the full tank in 32 minutes. All three pipes are opened simultaneously. However, pipe C is closed 2 minutes before the tank is filled. In how much time (in minutes) will the tank be full?

Option 1: 9

Option 2: 10

Option 3: 12

Option 4: 8

Question : Pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. The tank when full can be emptied by pipe C in $x$ minutes. When all three pipes are opened simultaneously, the tank is full in 10 minutes. The value of $x$ is:

Option 1: 18

Option 2: 15

Option 3: 20

Option 4: 24

Question : Two pipes can fill a tank in 20 minutes and 30 minutes, respectively. When the tank was empty, the two pipes were opened. After some time, the first pipe was stopped, and the tank was filled in 18 minutes. After how much time had passed since the start, was the first pipe stopped?

Option 1: 5 minutes

Option 2: 8 minutes

Option 3: 10 minutes

Option 4: 12 minutes

Question : An inlet pipe can fill an empty tank in 140 hours, while an outlet pipe drains a filled tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank is empty, then the tank gets filled in 105 hours. Find the value of y.

Option 1: 1

Option 2: 4

Option 3: 2

Option 4: 3

Question : Pipe A can fill an empty tank in 18 hours and Pipe B can fill the same empty tank in 24 hours. If both the pipes are opened simultaneously, how much time (in hours) will it take to fill the empty tank?

Option 1: $11 \frac{3}{7}$

Option 2: $10 \frac{1}{7}$

Option 3: $10 \frac{2}{7}$

Option 4: $11 \frac{2}{7}$