Which marble is the oddball? Heavy or light?

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SUMMARY

The discussion centers on a classic logic puzzle involving 12 marbles, where 11 are identical, and one is either heavier or lighter. Participants are tasked with identifying the odd marble using only three weighings on a balance scale. The puzzle's popularity is attributed to its challenging nature, with one user noting it took them significantly longer to solve compared to other puzzles. This highlights the engaging complexity of the problem, making it a favorite among puzzle enthusiasts.

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  • Understanding of balance scales and their functionality
  • Basic problem-solving and logical reasoning skills
  • Familiarity with combinatorial logic puzzles
  • Experience with strategic thinking in limited-resource scenarios
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  • Explore advanced combinatorial logic puzzles
  • Learn techniques for optimizing problem-solving strategies
  • Investigate other classic puzzles like the "Crossing the River" problem
  • Study methods for effective use of balance scales in logic problems
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Puzzle enthusiasts, educators in logic and mathematics, and anyone interested in enhancing their problem-solving skills through engaging challenges.

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i give you 12 marbles. 11 of them are identical. the 12th one looks the same, but is either heavier or lighter than the other 11.

you also have a balance scale. the kind that weighs things on both sides - and if one side is heavier, it tilts down.

you are allowed only 3 weighings.

tell me which ball is the oddball, and whether it is heavy or light.
 
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This was just posted one or two months ago. In fact, a search for "balance" in the Brain Teasers forum shows that it is posted quite frequently. I wonder what it is about this particular puzzle that makes it so popular.
 
sorry about that. i did look thru the first page for marbles, and did not see anything. i didnt look more closely at the rest of the wording.

to answer your question - it took me a long time to figure it out. it has been one of the best puzzles that i have worked on for a long time.
 
i was just about to post the one about crossing the river with cannibals, but i find that this has also been posted. it only took me an hour or so to figure that one out. i found the marble one much more difficult.
 

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