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There is most likely a more efficient way to do this, but this is the best I can do for now.

Notation: ( x , y ) where x is the amount of water in the 5-liter container and y is the amount of water in the 7-liter container

1. Fill the five-liter container ( 5 , 0 )

2. Pour the five-liter container into the seven-liter container ( 0 , 5 )

3. Fill the five-liter container ( 5 , 5 )

4. Fill the seven-liter container with the five-liter container, leaving 3 liters in the five-liter container ( 3 , 7 )

5. Pour out the seven-liter container ( 3 , 0 )

6. Pour the five-liter container into the seven-liter container ( 0 , 3 )

7. Fill the five-liter container ( 5 , 3 )

8. Fill the seven-liter container with the five-liter container, leaving 1 liter in the five-liter container ( 1 , 7 )

9. Pour out the seven-liter container ( 1 , 0 )

10. Pour the five-liter container into the seven-liter container ( 0 , 1 )

11. Fill the five-liter container ( 5 , 1 )

12. Pour the five-liter container into the seven-liter container ( 0 , 6 )

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Q: How do you measure 6 liter water from 7 liter and 5 liter jar?
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Here's a step-by-step solution: Fill up the 5-liter jar completely with water. Pour the water from the 5-liter jar into the 3-liter jar until the 3-liter jar is full. Now, you are left with 2 liters of water in the 5-liter jar. Empty the 3-liter jar. Pour the 2 liters of water from the 5-liter jar into the 3-liter jar. Fill up the 5-liter jar again. Pour enough water from the 5-liter jar into the 3-liter jar to fill it completely (this will take 1 liter). Now, you are left with 4 liters of water in the 5-liter jar, which gives you the required 8 liters of water.


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