Question : Three pipes, A, B, and C, can fill a cistern in 12, 18 and 24 minutes, respectively. If all the pipes are opened together for 7 minutes, what will be the volume of the water that overflows as the percentage of the total volume of the cistern?

Option 1: $23 \frac{2}{3}\%$

Option 2: $26 \frac{5}{18}\%$

Option 3: $23 \frac{1}{3}\%$

Option 4: $26 \frac{7}{18}\%$

Question : Pipes A and B can fill a tank in 18 minutes and $22 \frac{1}{2}$ minutes, respectively while pipe C can empty the full tank in 12 minutes. A and B are opened together for 6 minutes and then closed. Now C is opened. C alone will empty the tank in ____.

Option 1: $5$ minutes

Option 2: $8 \frac{2}{5}$ minutes

Option 3: $7 \frac{1}{5}$ minutes

Option 4: $6$ minutes

Question : Two pipes A and B can fill a cistern in $12 \frac{1}{2}$ hours and 25 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom, it took 1 hour and 40 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty the cistern?

Option 1: 45 hours

Option 2: 42 hours

Option 3: 48 hours

Option 4: 50 hours

Question : Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all three pipes are opened simultaneously?

Option 1: $\frac{50}{7}$

Option 2: $\frac{15}{7}$

Option 3: $\frac{30}{7}$

Option 4: $\frac{20}{7}$

Question : Pipe A can fill a tank of capacity 350 litres in $3 \frac{1}{2}$ minutes. Pipe B can fill a tank of capacity 780 litres in $8 \frac{2}{3}$ minutes. How long (in min) will it take to fill a tank of capacity 1615 litres, if both pipes are opened together?

Option 1: $9$

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

Option 3: $8 \frac{1}{2}$

Option 4: $8$