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What is the least number of cards which could be on the table? How many of those would be Diamonds?

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Some cards from an ordinary pack of playing cards were laid out on a table with face upwards. I thought of one card there, The KING OF HEARTS. I announced that I would tell Mr. A the value and Mr. B the suit of my chosen card. I whispered to Mr. A that I had chosen a KING and whispered to Mr. B that I had chosen a HEART. Their subsequent discussion went as below:

A: “I do not know the card that was chosen”

B: “I knew you would not”

A: “I still do not know the card, but at least I can now work out its colour”

B: “Now at last I can work out what card it is”

A: “So can I”

What is the least number of cards which could be on the table?

How many of those would be Diamonds?

posted Jan 22, 2015 by Bhavish D A

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