# SSC CHSL MATHS QUIZ

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## Question 1:

Tap A can fill a tank in 12 minutes and Tap B can fill it in 20 minutes. An outlet tap puts out 100 litres every minute. If all the three taps are opened together then the tank is emptied in 30 minutes then find the capacity of the tank?

## Question 2:

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?

## Question 3:

Pipes A and B can fill a tank in $12 \mathrm{~h}$ and $18 \mathrm{~h}$, respectively, whereas pipe $\mathrm{C}$ can empty the full tank in $8 \mathrm{~h}$. A and B are opened for $4 \frac{1}{2} h$ and then closed. C alone will empty the tank in (in h):

## Question 4:

Two pipes $A$ and $B$ can fill a tank in 10 hours and 15 hours respectively. If they are turned on alternately for one hour each starting with A, then what is the time taken (in hours) to fill the tank?

## Question 5:

Two pipes P and Q can fill a tank with water in 10 minutes and 12 minutes respectively. The third pipe S can empty the tank in 15 minutes First P and S are opened After 20 minutes Q is opened Total time (in minutes) in which the tank will be filled up is:

## Question 6:

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:

## Question 7:

Two pipes $A$ and $B$ can fill a cistern in 12 hours and 8 hours respectively. A tap $C$ can empty the full cistern in 20 hours. All the three taps were open for 5 hours, when it was found that the emptying tap had been left open. It was then closed. How many hours more would it take for the cistern to be filled?

## Question 8:

Tap P can fill a cistern in 24 hours and tap Q can empty the full cistern in 40 hours. If both taps $\mathrm{P}$ and $\mathrm{Q}$ are kept open alternatively for one hour each starting from $\mathrm{P}$, then in how many hours will the empty cistern be completely full?

## Question 9:

Pipes A and B can fill a tank in 10 hours and $13\frac{1}{3}$ hours, respectively. Pipe C is an emptying pipe. When all three pipes are opened together, the tank is filled in 8 hours. Pipe C alone can empty 60% part of the tank in:

## Question 10:

There are two inlet pipes $\mathrm{A}$ and $\mathrm{B}$ can fill a tank in 20 minutes and 30 minutes respectively. Outlet pipe C can empty the whole tank in 15 minutes. What time will they take (in minutes) to fill the whole tank, if they start together?