SSC MTS MATHS QUIZ

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Question 1:

A and B two pipes can fill a tank in 24 hours and 48 hours, respectively. If both pipes are opened simultaneously, how much time will it take to fill the tank?

Question 2:

A pool has 3 taps. The first tap takes 3 days, the second tap takes 2 days, and the third tap takes 18 hours, to fill the pool. All the three taps are opened together. After 8 hours, the second tap is closed. The total time to fill the pool completely will be:

Question 3:

A, B and C are three pipes connected to a tank. A and B together fill the tank in 6hrs. B and C together fill the tank in 10 hrs. A and C together fill the tank in 7.5 hours. In how much time will A alone fill the tank?

Question 4:

Pipe $A$ and $B$ running together can fill the cistern in 6hours. A takes 5 hours more than B to fill the cistern when opened separately. In how much time pipe B can fill the cistern alone?

Question 5:

Pipe $\mathrm{X}$ can fill an empty tank in 12 hours and pipe $\mathrm{Y}$ in 16 hours. If both pipes opened together for 2 hours in how much time $\mathrm{Y}$ will take to fill the remaining tank.

Question 6:

Pipe A can fill a tank in 6 hours, while pipe B can fill it in 9 hours working separately. Pipe $C$ can empty whole the tank in 9 hours. He opened the pipe $A$ and $B$ simultaneously to fill the empty tank. He wanted to open the pipe $C$ when the tank was $2 / 3^{\text {rd }}$ filled, but he mistakenly opened $C$ when the tank was $5 / 6^{\text {th }}$ filled. What is the time difference between both the cases, to completely fill the tank?

Question 7:

A water tank has two holes. The 1st hole alone empties the tank in 8 minutes and 2nd hole alone empties the tank in 12 minutes. If water leaks out at a constant rate, how many minutes will it take, if both the holes together empty the tank?

Question 8:

Pipe A and Pipe B can fill an empty tank in 8 hours, due to a leak at the bottom of the tank, it takes 10 hours more for $A$ and B to fill the tank. In how many hours can the completely full tank be emptied by the leak?

Question 9:

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 

Question 10:

A water tank has two holes. The $1^{\text {st }}$ hole alone empties the tank in 9 minutes and $2^{\text {nd }}$ hole alone empties the tank in 6 minutes. If water leaks out at a constant rate, how many minutes does it take if both the holes together empty the tank?
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