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?

Daniel is the murderer and Arlene is the victim.

number 3 states that Arlene or Farley would be the victim if the rooms dont border, but the two rooms do border, so this statement is ignored.

number 4 states that Brenda or Cheryl would be the murderer if the two stayed in rooms that bordered on a different number of rooms. rooms D and A both border on 4 rooms. number 4 is ignored.

number 5 actually does apply. it states that if the two rooms are different sizes then Daniel or Emmtem would be the murderer. the two rooms are different sizes, and Emmet couldnt be the murderer because he only has two bordering rooms.

thats what i came up with- like any sophomore would..

Posted by James on 2005-08-30 21:58:17