There are 4 doors. One door leads out of the room and 3 doorknobs are triggered with a bomb that will explode when the doorknob is turned. A man stands at each door. Man one stands at door 1, man 2 stands at door 2.etc. Two men lie about what they say. Here is what each man says.
Man 1: Door 2 leads out of the room
Man 2: Man 1 lies about what he says, so does man 4
Man 3: Door 1 and 4 do not lead out of the room
Man 4: Man 2 lies about what he says, so does man 3
Which door do you take? And remember, if you pick the wrong door, you die!!!!
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Man 1 lies. So, Door 2 does not lead out of the room Man 2 tells the truth. So, Man 1 and 4 lie. Man 3 tells the truth. So, Door 1 and 4 do not lead out of the room Man 4 lies. So, Man 2 and 3 tell the truth
Why?
Man 3 is for sure telling the truth because 2 doors cannot lead out of the room. If he wasn't telling the truth 2 doors would lead out of the room.
Man 4 must be lying because he says man 3 is lying and I just proved that he's not.
Man 2 must be telling the truth because, he says man 4 is lying.
Man 1 must be lying because, there are so far 2 truth tellers and 1 lier.
In that case, door 1 does not lead out of the room because, man 3 says it does not and man 3 is a truth teller. Door 2 doesn't lead out of the room because, man 1 says it does and he is a lier. Door 4 doesn't lead out of the room because, man 3 says it doesn't and he isn't a lier. That means door 3 leads out of the room!!