Arlene(A), Brenda(B), Cheryl(C), Daniel(D), Emmett(E) and Farley(F) stayed in a hotel.

1) Each stayed in a different one of six rooms as shown here, identified by his initials :

         +----+----+----+----+
         |    | C  |    | E  |
         | B  +----+ D  +----+
         |    |    |    |    |
         +----+    +----+    +
         |      A  |      F  |
         +---------+---------+

2) One of the six murdered one of the other five.

3) If the murderer and the victim stayed in rooms that did not border on each other, then Arlene or Farley was the victim.

4) If the murderer and the victim stayed in rooms that bordered on different numbers of rooms, then Brenda or Cheryl was the murderer.

5) If the murderer and the victim stayed in rooms that were different in size, then Daniel or Emmett was the murderer.

Who was the murderer? Who was the victim?

(In reply to re: Conditional Statements by bzzt)

What do the statements tell us? Consider statement 5)

5) If the murderer and the victim stayed in rooms that were different in size, then Daniel or Emmett was the murderer.

Looking at it in another way, this statement tells us that D or E was the murderer ONLY IF the murderer and the victim stayed in rooms that were different in size. Nowhere in 5) does it actually say that both murderer and victim did IN FACT stay in rooms of different sizes. It's entirely possible that they stayed in rooms of the same size, e.g C & E. The statements just do not give the information we need to deduce either murderer or victim.

Posted by Paradox on 2005-08-28 20:50:15