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  1. Brain Teasers
  2. You have a 3-gallon jug and a 5-gallon jug. How do…
Brain Teaser🔴 hardLogic

You have a 3-gallon jug and a 5-gallon jug. How do you measure exactly 4 gallons?

Share:

Fill the 5-gallon jug. Pour into the 3-gallon jug until full (leaving 2 gallons in the 5-gallon). Empty the 3-gallon, pour the 2 gallons into it. Fill the 5-gallon again. Pour into the 3-gallon (which has 2 gallons) until full — exactly 4 gallons remain in the 5-gallon jug.

Why this works

At first glance, this riddle might seem like a daunting puzzle, but it cleverly plays with the idea of measuring and transferring quantities between two containers. The key lies in understanding that the 3-gallon and 5-gallon jugs can be used in tandem to create a measurement that isn’t directly possible with either jug alone. By filling the 5-gallon jug and transferring to the 3-gallon jug, you leave behind a remainder of 2 gallons in the larger jug. When you empty the 3-gallon jug and pour those 2 gallons back in, you’re setting yourself up for a final transfer that leads to the desired 4 gallons. This riddle not only tests your logical thinking but also highlights how seemingly simple tools can be combined in complex ways to achieve a goal. It’s a delightful moment of realization when you see how the steps flow together, culminating in the exact measurement you need. It’s reminiscent of ancient water jug problems that date back to Greek mathematicians, who often used similar conundrums to explore concepts of volume and logical reasoning. As a fun tidbit, riddle enthusiasts might be interested to know that this type of problem has been a staple in various cultures, often appearing in folk tales and puzzles throughout history. It serves as a reminder that sometimes, the journey to a solution is just as enlightening as the solution itself!

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Common Wrong Answers

“Fill the 3-gallon jug and pour it into the 5-gallon jug.”

Filling the 3-gallon jug only adds 3 gallons to the 5-gallon jug, which does not help in measuring out exactly 4 gallons.

“Fill the 5-gallon jug and then pour it out completely.”

Pouring out the entire contents of the 5-gallon jug results in having no water left to measure with, so it doesn't help to achieve the goal of measuring 4 gallons.

“Fill both jugs to their maximum capacity and then combine them.”

Filling both jugs to their maximum capacity would result in 5 + 3 = 8 gallons, which is not a valid measurement of 4 gallons and also exceeds the capacity of the jugs.

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