SSC CGL MATHS QUIZ

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Question 1:

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 2:

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

Question 3:

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 4:

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:

Question 5:

A swimming pool has 3 drain pipes. The first two pipes $A$ and $B$ operating simultaneously can empty the pool in half the time then that C the 3 rd pipe alone takes to empty it. Pipe $A$ working alone takes half the time taken by pipe $B$. Together they all take 6 hours 40 minutes to empty the pool. Time taken by pipe A to empty the pool in hours is:

Question 6:

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 ?

Question 7:

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 8:

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 9:

One inlet pipe A is 5 times faster than second inlet pipe B and takes 72 minutes less than the pipe B to fill the cistern. When will the cistern will be full if both filling pipes are opened together?

Question 10:

A glass containing water has two holes. The 1st hole alone empties the glass in 9 minutes and 2nd hole alone empties the glass in 3 minutes. If water leaks out a constant rate, how many minutes will it take if both the holes together empty the glass?

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