You want to know the out come of a race between 4 people who live in Race Town and ask the outcome of the race. Each of the four people give three statements.

Among these four people there is one knight (who always tells the truth), a liar (who always lies), a knave (who tells the truth and lies alternatingly), and a rebel. The rebel doesn't like the truth patterns of the other three, and will never follow the order of them. (So the rebel will say at least one thing false, and one thing true, but not in an alternating way.)

A: B is the liar.
C won the race.
I came in second.

B: C is the knight.
I came in last place.
C came in second.

C: D is the knave.
A won the race.
B came in last place.

D: B is the rebel.
C came in second place.
B came in third place.

Using this information, what is each person's type and in what order did they finish in the race?

okay im new at this so bear with me,
so im choosing a base character of the knight,
if you run through the facts putting him in each position there'll be a contridiction in every case except one,that being the real sequence,
so just for the hell of it (and cause im not going through all of them again) D is the knight,
if D is the knight then everything he says is true,making B the rebel,proving C came in second and B came third,rebel agrees with C coming third,the knight proves the rebels other two statements false,giving the rebel his acceptable LIE,LIE,TRUTH, the rebel proves the first two facts of A wrong,since the rebel spot is already taken that proves that A is the liar as it cant have a truth next,therefore C is the knave,the other facts confirm that C's pattern is LIE,TRUTH,LIE,
so in the end........1st in the race is the liar:A,second comes the knave:C,third is the rebel B:,and finally the knight:D comes in last..because of all the armour i presume,and cause nice guys finish last

Posted by marky on 2004-01-08 01:56:09