There are nine cards arranged in 3 rows of 3 cards each like the diagram below:
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1) Every ace borders a king and a queen.
2) Every king borders a queen and jack.
3) Every queen borders a jack.
4) There are atleast 2 aces, 2 kings, 2 queens, and 2 jacks.
What kind of card is in the center?
Thanks.
2007-10-02 09:43:38 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
That puzzle is all reasoned out on this website, and the center is a jack.
http://perplexus.info/show.php?pid=3649&op=sol
2007-10-02 09:50:35 · answer #1 · answered by ecolink 7 · 1⤊ 0⤋
AKQ
QJJ
AKQ
jack in the middle
Start with the card that touches the most other cards (King) as it has to touch, an A, Q, and J
... the only place it can do that is in one of the "Middle of the lines" (cannot be a corner), as there are two place them on opposite ends of the grid
-K-
---
-K-
Then fill in the blanks ... King needs A, Q, J
so you get on eon each "border" (and repeat it for the bottom). Jack is the "Least restricted" (IE it has less requirements of what needs to touch it, so the middle position is the most likely place for it)
AKQ
-J-
AKQ
... Now the Aces need to touch queens
AKQ
QJ-
AKQ
the only blank has to be the missing letter which is another J
AKQ
QJJ
AKQ
2007-10-02 16:54:35 · answer #2 · answered by David F 5 · 0⤊ 0⤋
I would say the middle card is a Queen.
2007-10-02 16:47:43 · answer #3 · answered by Dragon'sFire 6 · 0⤊ 0⤋
the middle card is a Jack... it's easy
2007-10-02 16:55:54 · answer #4 · answered by Ronnie 1 · 0⤊ 0⤋