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Its nice when games have riddles hidden in them. While playing TES:Arena, I came across an unusual logical puzzle: There are 3 cells.

If Cell 3 holds worthless brass, Cell 2 holds the gold key.

If Cell 1 holds the gold key, Cell 3 holds worthless brass.

If Cell 2 holds worthless brass, Cell 1 holds the gold key.

Knowing this brave fool, and knowing that all that is said cannot be true, which cell contains the gold key?

The correct answer is Cell 2 as suggested by the game. I wanted to know how one could logically arrive at the result. Could anyone help me with this?

What I tried: I negated all the above statements. The first implication became Cell 3 holds worthless brass AND Cell 2 does not have gold key. But if this is true, then cell 2 does not have the gold key and the result is incorrect. Hence I had this doubt.

PS: Choosing the wrong door causes man eating spiders to be released.

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    Does each cell necessarily contain either worthless brass or a gold key?2012-12-20
  • 0
    Although not stated in game, there is only ONE cell with a gold key. The other cells may/may not have brass.2012-12-20

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