You are traveling in a land where every inhabitant either always lies or always tells the truth. You come across two caves: in one lies treasure and in the other lies certain death. There is a guard in front of the caves, and a sign announcing that the guard will answer one yes/no question to any traveler.
You don't know whether the guard tells the truth or lies - what single yes/no question should you ask the guard if you want to find the treasure? (Or try to show that it is impossible for you to determine which cave has the treasure.)
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Comments
"If I ask you whether the left cave has treasure, would you answer Yes?"
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That's what I was thinking! :)
Choose a random route, and ask him : You people have two kinds of folks, liars and truthful. If I asked one of the other kind of people if this is the right way he would say yes. Am I right?
If it was the right way: Liar: No Truthful: No
if it was the wrong way: Both will say yes.
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Oh, I didn't think about just reducing it to two guards. That does the care of the problem, though.
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I don't really get what you mean by reducing it to two guards but yea I think this works out the problem. Took me a while though haha
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is there more then one cave with treasure?