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?
Happy New Year everyone! Well, I havent been commented a lot in December coz I was in Washington for vacation, and now that I'm back, I'll start commenting more frequently. Let's see... coz I don't like using computer programs, I would use the guess and check method. There are 24 different possibilities: T L K R, T L R K, T K L R, T K R L, ... Also, A and D's first statement involves B, but they both say different things about B, so one is telling the truth and the other isn't, or both aren't telling the truth with the B statement. Also, B and C both share a common statement, so possibly it is true, though I'm not entirely sure at this moment. Also, D has a conflicting statement with B. Because D has 2 conflicting statement, I would say he is either a liar, or rebel, though there is a chance (though I find highly unlikely) that he is a knight... More stuff to come when I think of it.
More stuff (Edited in later): B CANNOT be a knight for, he makes a statement that C is a knight. C can't be a knight, coz B is a knight.
More stuff (Edited in later): Based on what I did, A is most like not the knight.
Edited on January 1, 2004, 12:07 pm
Some Thoughts
