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the basement => the archives => Logic Puzzles => Topic started by: Arquin on April 05, 2004, 04:32:23 am

Title: Arq's puzzle #1
Post by: Arquin on April 05, 2004, 04:32:23 am
You are in a pitch black room with a standard deck of cards. 10 of these cards are facing up, the rest are facing down. The deck has been shuffled. Your task is to divide the deck into two piles, with the same number of upwards-facing cards in each pile. You cannot see the cards. How will you do this?

(NB. You do not necessarily have to have the same number of cards in each pile.)

Good luck.

~Arquin
Title: Arq's puzzle #1
Post by: Kattywampus on April 06, 2004, 09:05:17 pm
I'd turn on the light and seperate them by hand.
Title: Arq's puzzle #1
Post by: Arquin on April 07, 2004, 12:34:42 pm
Incorrect. Try again?

(You're thinking completely along the wrong lines, by the way.)

~Arq
Title: Arq's puzzle #1
Post by: Lobar on April 13, 2004, 07:05:56 pm
Take any 10 cards from the deck and flip them over, and make those 10 the second pile.  If none of those 10 were originally face up, you have 10 face-up cards in each pile.  If any of the 10 cards in the second pile was originally face-up, it will be flipped face-down, making one less face-up card in each pile, but they will still have the same number.

Good puzzle.  Made me think for a while.
Title: Arq's puzzle #1
Post by: Arquin on April 14, 2004, 05:25:12 am
Correct! Well done, Lobar. :}

~Arq