Deadly Doors

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!!!!

Door 4 Door 1 Door 2 Door 3

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Nik Olson
Jul 21, 2014

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!!

@Nik Olson Hang on though...you said man 3 is telling the truth because 2 doors cannot lead out of the room. But the negation of man 3's statement is either door 1 or door 4 leads out of the room, not both door 1 and door 4 lead out of the room.

Noel Lo - 2 years, 10 months ago

Man 3 said that Door 1 AND Door 4 DO NOT lead out of the room, that means both of them will lead to the BOMB EXPLOSION.

Chan Hin Yuk - 10 months, 2 weeks ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...