SSC CGL MATHS QUIZ

A cistern has 3 pipes $A, B$ and $C . A$ and $B$ can fill it in $3 \mathrm{hr}$ and $4 \mathrm{hr}$ respectively and $\mathrm{C}$ can empty it in 1 hour. If the pipes are opened at 3 pm, 4 pm and 5 pm respectively on the same day, the cistern will be empty at

Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours Pipe A is closed, then the other pipe will fill the tank in ?

Two pipes $A$ and $B$ can fill a cistern in 3 hours and 5 hours respectively. Pipe $C$ can empty in 2 hours. If all the three pipes are open, in how many hours the cistern will be full?

Pipes A and B can fill a tank in $43.2$ minutes and 108 minutes, respectively. Pipe C can empty it at 3 liters/minute. When all the three pipes are opened together, they fill the tank in 54 minutes. The capacity (in litres) of the tank is:

A tank is filled by tap A in 30 minutes and by tap B in 45 minutes. When the tank is full, tap C can empty it in 90 minutes. If all the taps are opened together, then the tank will be full:

Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?

A tank can be filled by pipe $A$ in 2 hours and pipe $\mathrm{B}$ in 6 hours. At 10 a.m pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m?

A pipe can fill a cistern in 12 minutes and another pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Number of minutes taken to empty the cistern is:

Three taps A, B and C can fill a tank in 50,60 and 30 hours respectively. How long (in hours) would the three taps take to fill the tank if all of them are together?

Three taps A ,B and C can fill a tank in 12 , 15 and 20 hours respectively. If A is open for all the time and B and C are open for one hour each alternatively, the tank will be full in