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?

(In reply to answer. by Victor Zapana)

A is a liar, so:
B is not a liar.
C did not win the race.
A was not 2nd.

This give us _ _ _ _, C not 1st, and A not 2nd.

B is a rebel, so:
C is not a knight. (He gave a false statement)
B is not last. (He gave another false statement)
C is 2nd. (He gave a true statement)

This gives us _ C _ _, and A not 2nd (duh... 2 ppl cant be the same place).

C is a knave, so:
D is not a knave. (He gave a false statement.)
A did not win the race. (He gave a true statement.)
B did not come in last place. (He gave a false statement.)

This gives us _ C _ _, A not 1st, B not last.

D is a knight, so:
B is a rebel.
C is 2nd.
B is 3rd.

This gives us _ C B _, A not 1st. This then makes _ C B A. Becuase the remaining letter is D, then the order must be:

D C B A.

Edited on January 1, 2004, 12:21 pm
Edited on January 1, 2004, 12:21 pm

Posted by Victor Zapana on 2004-01-01 12:20:10