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There are 3 boxes with only one contains treasure. Guardian will only answer truthfully once, other 3 times will lie...

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There are 3 boxes, only one of which contains a treasure and guardian will only answer you truthfully once, the other three times he will lie.

You may ask 4 YES or NO questions, which questions should you ask, to know which box contains the treasure?

posted Sep 15, 2017 by anonymous

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1 Answer

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You ask 3 times: Is the treasure in box 3?
Your last question is: Is the treasure in box 2?
.
If the guardian answer the first 3 questions the same all 3 times, he has lied all 3 times and he will answer truthfully the last question.
If he has said no 3 times, the treasure is in box 3.
If he has said yes 3 times, the treasure is in box 1 or 2. His answer to the last question (where he speaks the truth) will reveal which one.
.
Of the guardian answers the first three questions differently, he will have lied twice and spoken the truth once. That means his next answer will be a lie.
If he has said no 2 times, the treasure is in box 3.
If he has said yes 2 times, the treasure is in box 1 or 2. His answer to the last question (where he will lie) will reveal which one.

answer Nov 2, 2017 by Jcm



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