Exactly one of Al, Ben and Cal is a knight and the remaining two are liars. They are conversing among themselves about Dan who is a common friend of the three of them. They say:

Al
Dan has more than a million dollars.

Ben
No, Dan has less than a million dollars.

Cal
But, surely Dan has at least a dollar.

Who is the knight? Who are the liars? How much money does Dan actually have?

*** This puzzle has at least two solutions.

If Ben is the knight then DAN has ZERO dollars    (1st solution)

If Cal  is the knight then DAN has a million dollars 

 exactly.    (2nd   solution)

if Al  is the knight then CaL is  a knight as well  -- contradiction ,

THEREFORE THERE ARE  ONLY TWO  SOLUTIONS
 (given 0 dollara means 0 OR LESS)

Posted by Ady TZIDON on 2013-02-18 13:21:58