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Card game III (Posted on 2014-03-04) Difficulty: 2 of 5
In a certain card game, one of the hands dealt contains:
  1. Exactly thirteen cards.
  2. At least one card in each suit.
  3. A different number of cards in each suit.
  4. A total of five hearts and diamonds.
  5. A total of six hearts and spades.
  6. Exactly two cards in the "trump" suit.
Which one of the four suits -- hearts, spades, diamonds, or clubs -- is the "trump" suit?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution | Comment 4 of 5 |

From 4: hearts and diamonds could be 1 and 4 or 2 and 3, in either order.
From 5: The six that are hearts+spades could be 5+1 or 4+2

The number of hearts could therefore be 1, 4 or 2

Table based on number of hearts:

hearts  diamonds  spades clubs
  1        4        5      3
  4        1        2      6
  2        3        4      4  (bad: duplicate number)

 
The only valid line with a 2 is the middle row.

The trump suit is spades.


  Posted by Charlie on 2014-03-04 12:05:31
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