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Card game IV (Posted on 2022-03-29) Difficulty: 3 of 5
Precisely seven cards, "8" to Ace inclusively, are laid face down on the table in an arbitrary order. It is known that:
  1. Precisely one card is between the Ace and the "9".
  2. The "8" is between the King and the "10".
  3. There are exactly three cards between the King and the Ace.
  4. The Jack is located directly to the right of the Ace.
  5. The Queen is precisely in the middle.
  6. The Jack is somewhere to the right of the "10".
Determine the correct order of the cards from the above-mentioned clues.

See The Solution Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

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Solution | Comment 1 of 7
From # 5, the Q is in the middle, with three spaces on either side.

Then, from # 3, the A and K must be on opposite sides of the Q. If the A is on the right of the Q, if can't be in position 7 (from # 4), nor can it be in position 6 (from # 1). If it is in position 5, then the K must be in position 1 (from # 3). The J is then in position 6 (# 4), and the 9 is in position 7 (# 1).

This leaves the 8 and 10 for positions 2 and 3, and from # 2 the final order must be:

K, 8, 10, Q, A, J, 9

This satisfies all six clues.

  Posted by H M on 2022-03-29 07:14:50
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