When I went to the race track in Racing Town, a town made up only of Knights which always tell the truth, Knaves which tell truths and lies in an alternating pattern, and Liars which always lie, a race between 6 citizens of that town had just finished.

I went to the 6 citizens and asked each of them the order that all 6 finished. They all gave me different responses, each thinking themselves as winning, displayed here left to right as first to last.

A: A C D E B F
B: B D F E C A
C: C D E F A B
D: D E F B A C
E: E B A D F C
F: F C B A E D

From what they said, I was able to figure out what the correct order was. What is it?

A F D C B E; A is a knave and the others are liars.

The required order in which the 6 citizens finished the race is as follows:

Individual.. .Position
A................ First
B................ Fifth
C............... Fourth
D............... Third
E............... Sixth
F................Second

A is the only Knave while all the remaining five individuals are Liars.

Edited on November 7, 2007, 12:38 pm

Posted by K Sengupta on 2007-05-04 12:40:07