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Answer

Assume card #6 is, in succession, an Ace, King, Queen, Jack.

If an Ace, then neither 7 or 8 could be an ace, or a king or queen.  Only 1 can be a Jack, so 6 can’t be an Ace.

If a Queen, then 4,5,7 and 8 could not be queens or aces; so 2 aces and the other Queen would have to be cards 1,2, and 3.  So 6 can’t be a Queen.

If 6 were a Jack neither 7 nor 8 could be an ace, jack, or a king.  At most only one of 7 or 8 could be a Queen.

Therefore card #6 is a king.

Eight cards are face down on a table as shown in the diagram below:

  1
 
2
34
 
 5
6
7
  8
 

   1.  Every Ace borders a king
   2. Every King borders a Queen
   3. Every Queen borders a Jack
   4. No Queen borders an Ace
   5. No two cards of the same rank border on each other
   6. The are two Aces, two Kings, two Queens, and 2 Jacks

What rank is card #6?

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This page revised   August 16, 2004
 
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