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Tough Puzzles & Brain Teasers
Puzzles on logic and mathematics that will make you scratch your head.
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Ankita Katdare
Ankita Katdare
Computer Science
08 Jan 2019

Which cup will get filled first - Correct Answer to this Brain Teaser?

There is 1 tap and 7 cups arranged in the following diagram. Which cup will get filled first? Explain your solution.

2mos ago

1


Ankita Katdare
Ankita Katdare
Computer Science
2mos ago

Please provide an explanation to your solution.

Aditya Singh
Aditya Singh
Computer Science
2mos ago

Assuming that the pipe between cup 1 and 3 is blocked.

First off, the cups which would not fill-

3,4 and 5 will not fill as there is a blockage between 1 and 3.

So after the water fills the pipe between 1 and 3, the water level in cup 1 will rise and the water will go to the pipe between 1 and 2.

Now, there's a blockage between 2 and 6. So, 6th cup would not also fill. 

Again the water level will rise and the water will go to the pipe between 2 and 7. 

Now as 7th cup has a hole in it, thus it will never fill. 

So, assuming that the rate of water lost is not more than the rate of incoming water, cup 7 would keep losing water constantly which in turn will also prevent cup 2 from being filled completely which in turn will prevent cup 1 from being filled completely.

Thus, no cup would get filled completely.

Note- I have assumed that the rate of loss of water is not less than the rate of incoming water in the cups as there is no detail about this in the question.


Rohit Kumar
Rohit Kumar
Electronic
2mos ago

No cup will be filled. It is obvious from the diagram.

1. Glasses 3,4,5 will never get water from 1 because there is a block in the outlet that goes from glass 1 to glass 3.

2. Glass 2 blocks glass 6 - and therefore it will fill till the outlet of glass 7.

3. But Glass 7 has open bottom. So it never gets filled. All the water flowing from glass 2 to glass 7 gets wasted. 

This means no glass will ever get filled. What a waste of water 😂