Enigma 264: Courting couple
10 March 2015
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From New Scientist #1411, 24th May 1984 [link]
Here is a small test of reasoning, for which you need the Kings, Queens and Jacks from a pack of cards. As usual, cards of the same face value rank in the order Spades, Hearts, Diamonds, Clubs. All you have to do is select two cards, one at a time, so that all ten of these statements shall be true.
1. If the first card is black, the second is a Jack.
2. The first is a Queen, only if the second is a Diamond.
3. The first is a Heart, only if the second is black.
4. The first is a King, if the second is a Spade.
5. The first is a Club, if the second is a King.
6. The first is a Heart, if the second is a Heart.
7. If the higher is a Queen, the lower is a Heart.
8. The lower is a Jack, only if the higher is a Heart.
9. If the lower is red, the second is a Spade.
10. The higher is red, only if the first is not a King.
Bearing in mind that “if” does not mean the same as “only if”, can you specify the two cards in their right order?