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?

Two couples meet the terms listed in the riddle<o:p></o:p>

<o:p> </o:p>

I coupled (A with E)   &   (F with B) as victim and murderer respectively because:

<o:p> </o:p>

A with E<o:p></o:p>

<o:p> </o:p>

1-     A does not border E  ( statement 3 )

<o:p> </o:p>

2-     A is bordered by 4 rooms & E is bordered by 2 rooms ( statement 4 )

<o:p> </o:p>

3-     A is larger in size than E ( statement 5 )

<o:p> </o:p>

<o:p> </o:p>

F with B<o:p></o:p>

<o:p> </o:p>

1-     F does not border B  ( statement 3 )

<o:p> </o:p>

2-     F is bordered by 3 rooms & B is bordered by 2 rooms ( statement 4 )

<o:p> </o:p>

3-     F is larger in size than B ( statement 5 )

<o:p> </o:p>

<o:p> </o:p>

<o:p> </o:p>

<o:p> </o:p>

I think we can add these two statements to the riddle

<o:p> </o:p>

6) If  Emmett is the murderer then Arlene is the victim.

7) If  Brenda is the murderer then Farley is the victim.

 

Posted by MSS on 2005-08-15 21:27:39