When Mr. Mathwiz visited the IoK&L* he was surrounded by 20 or 21 male inhabitants, who formed a perfect circle and then each said a single word (either "Knight" or "Liar") about the man on his right.
The wiz then evaluated correctly the exact numbers of liars and the truth-tellers.

What were those numbers?


*IoK&L, is an imaginary island, inhabitated by Liars and by Truth-Tellers a.k.a. Knights.

(In reply to re(3): solution ==> CLARIFICATION by Ady TZIDON)

I now understand where my answer was abiguous.  I did mean zero...but only in the count of the "reports" of truth-tellers ...

1. Liar - (2) "Liar" 
2. Knight - (3) "Liar"
3. Liar - (4) "Liar"
4. Knight - (5) "Liar"
...
19. Liar - (20) "Liar"
20. Knight - (1) "Liar"

The number of truth-tellers reported: 0. The number of Liars reported: 20.

Edited on June 7, 2011, 4:36 am

Posted by Dej Mar on 2011-06-07 04:32:15