Two doors have two guards. One guard always lies, the other always tells the truth, and one door leads out. You may ask either guard one question. What do you ask?

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Hint: Use the answer to cancel out truth and lies.

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The answer is

Ask, “Would the other guard say this is the exit?” then choose the opposite door.

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Whether the guard lies or tells the truth, the answer points you away from the exit, so choose the other door.

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