MHB What's the safest way out of these two caves?

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To determine which cave leads to safety, you can ask either guard, "If I asked the other guard which cave leads to safety, what would he say?" This question reveals the truth regardless of which guard you ask, as the truthful guard will point to the dangerous cave and the lying guard will also point to the dangerous cave. Therefore, you should choose the opposite cave from the one indicated. The discussion highlights the classic logic puzzle involving truth-tellers and liars. Such puzzles continue to entertain and challenge problem-solving skills.
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You must enter one of two caves. One cave leads to certain death, the other to safety. A guard stands at each entrance, one who always tells the truth and one who always lies. You make ask one question to either of the guards. What should you ask?
Not difficult by an means but entertained me when I was younger.
 
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Poirot said:
You must enter one of two caves. One cave leads to certain death, the other to safety. A guard stands at each entrance, one who always tells the truth and one who always lies. You make ask one question to either of the guards. What should you ask?
Not difficult by an means but entertained me when I was younger.

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You ask either guard what the other would say if asked which lead to safety, then take the other.

CB
 
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I remember this one... Except when it was told to me, it was TweedleDee and TweedleDum from Alice In Wonderland instead of guards.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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