You are walking to a destination, and have to pass through Talking Town. As is common with these problems, you see a fork in the road, and inquire about which way leads to Truth Town. Four people around give you advice, but you don't know their veracity or their gender. You gather from their conversation that all four are either knights or liars, and there is exactly one girl in the group.

A: Take the left fork to get to Truth Town.

B: All liars are girls.

C: All knights are girls.

D: All people who begin their statments with "All" are either all knights or all liars.

Just from these four statements, can you see whether the left or right fork leads to Truth Town? (Also: Which one is the girl?)

Hmmm, I was confused by the line "all four are either knights or liars," which I took to mean that all four are knights or all four are liars.The solution works out the same, but it becomes impossible to tell who is the girl. (Note, they can all be liars, and D statement can still be a lie, since he seems to be referring to all people, not just those in the puzzle.

Posted by sam on 2003-09-07 21:20:57