Q: If you have a 3-pint jug and 1 pint jug, how can you produce 2 pints? Note: You are not able to guess exactly how much water is in the jug unless you fill it all the way up.
Answer:
Fill the 3-jug up completely. 
Use the water from the 3-jug to fill up the 1-jug.
Pour out the 1-gallon jug. You're left with nothing in the 1-jug and 2 gallons in the 3-jug which is the target.

Q: If you have a 5-pint jug and 3 pint jug, how can you produce 4 pints? Note: You are not able to guess exactly how much water is in the jug unless you fill it all the way up.

Answer:
Fill the 5-jug up completely. 
Use the water from the 5-jug to fill up the 3-jug.
Pour out the 3-gallon jug. You're left with nothing in the 3-jug and 2 gallons in the 5-jug.
Transfer the water from the 5-jug to the three jug. You're left with 2 gallons in the 3-jug. And nothing in the 5-jug.
Fill up the 5-jug completely. You now have 2 gallons in the 3-jug and 5 in the 5-jug. This means that there is 1 gallon (of space left in the 3-jug.
Use the water from the 5-jug to fill up the 3-jug.
 Fill up the last gallon of space in the 3-jug with the water from the 5-jug. 
This leaves you with 3 gallons in the 3-jug, and 4 gallons in the 5-jug which is the target.
Q: If you have a 7-pint jug and 5 pint jug, how can you produce 6 pints? Note: You are not able to guess exactly how much water is in the jug unless you fill it all the way up.
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