On a table, 3 normal playing cards are placed face down.
To the right of a king, there is a queen or queens.
To the left of a queen there is a queen or queens.
To the left of a heart, there is a spade or spades.
To the right of a spade, there is a spade or spades.
Which three cards are on the table?
(Borrowed from the book "The colossal book of short puzzles and problems" by Martin Gardner)
The first rule says that there is atleast one king. Second rule says that there are two queens. (KQQ,QKQ) Third rule says that there is a heart and a spade. And the fourth rule says that there are two spades. (HSS,SHS,SSH) Which means out of three cards, two are queens and one is king. And two are spades and one is hearts.
So the four possibilities are KS, QS, QH KS, QH, QS QS, KS, QH QS, KH, QS The fourth is an impossible option as there can't be two queen of spades in a deck. So the three possible answers are
King of spades, Queen of Spades and Queen of hearts
King of spades, Queen of hearts and queen of spades
Queen of spades, king of spades and queen of hearts.
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