Question

Interesting Puzzle to be solved.
Mr. Z takes one random card shown below and informs to Mr. X only rank (K or Q or 6 etc ) and informs to Mr. Y only the suite (whether it is club or diamonds etc).

Clubs: K, Q, 6, 5, 4
Diamonds: A, 5
Hearts: A, Q, 4
Spades: J, 8, 7, 4, 3, 2

Mr. X: I don't know what the card is.
Mr. Y: I know you don't know what the card is.
Mr. X: Oh, I know what the card is now.
Mr. Y: Oh, I also know what the card is now.

Can you guess what the card is?

Answer 1

Five of diamonds

Answer 2

Please explain

Answer 3

Ok, the first statement tells you that it's not: Clubs: K, 6 or Spades: J, 8, 7, 3, 2 because as these are the only cards of their rank, Mr. X would immediately know which card had been picked.

Answer 4

The second statement tells you that the card must be in a suit that has only cards that are also in another suit: Diamonds or Hearts.

Answer 5

The third statement eliminates the aces because if Mr. X had been told the card was an ace, he would still not know what it was at this point.

Answer 6

how come you eliminated the hearts-Q and heart-4
?

Answer 7

Because if Mr. Y had been told that the card was a Heart, by the fourth statement, he would still not know what the card was.

Answer 8

thank you :)
I were not using the fourth statement..

Answer 9

No problem :) Good question, where did you get it from?

Answer 10

one of my colleague told me...

Answer 11

Oh right.