UP SI MATHS QUIZ

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Question 1:

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 2:

Two pipes A and B can fill a tank in 12 h and 16 h respectively. Starting from the first pipe A, they are opened alternately for 1 h. In how many hours will 75% of the tank be filled?

Question 3:

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 P, then in how many hours will the empty cistern be completely full?

Question 4:

Aman, Shubham and vikash can fill a tank in 20 days, 30 days and 15 days respectvely. In how many days Shubham and vikash together can fill the whole tank?

Question 5:

A container has two holes. The 1st hole alone empties the container in 15 minutes and 2nd hole alone empties the container in 10 minutes. If water leaks out at a constant rate, how long (in minutes) does it take if both the holes together empty the container?

Question 6:

 $\frac{3}{7}$ th part of a tank is filled in 15 minutes, then find in how many minutes the remaining part will be filled.

Question 7:

Two pipes P and Q can fill a tank in 24 hours and 32 hours respectively. If both pipes are opened simultaneously, then find the what time should the first pipe be closed so that it takes only 16 hours to fill the tank ?

Question 8:

A pipe can fill a tank in 72 hours. Due to leakage in the tank, it is filled in 108 hours . If the tank is full $\frac{3}{4}$ th of its capacity. How much time(in hour) it will take for leakage to empty the tank?

Question 9:

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?

Question 10:

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):