Card Quandary
Logic puzzles require you to think. You will have to be logical in your reasoning.
Mavis the 'mathemagician' held ten cards (face down) in her hand  Ace (1) to 10 of Hearts.
She moved the top card to the bottom of the pack, counting '1', and turned up the next card, placing it on the table. It was the Ace.
She counted two more cards to the bottom of the pack, showed the next card  the '2'  and placed it on the table.
Counting, 'One, two, three' more to the bottom, she then showed the next card  '3' of Hearts.
This continued for four to nine, and the final card was  tadaah!  the '10' of Hearts.
Question: What was the original order of cards, from the top to bottom?
HintTry it with pieces of paper, real cards, or a diagram on paper ...
... or scroll down to a hint that might make it too easy ...
The cards, from the top of the pack, must have been:
* A * * 2 * * * 3 *
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Answer
9 A 8 5 2 4 7 6 3 10
You might like to try this as a challenging 'trick' for younger people to work out (or your parents!!)
A further challenge is to 'spell' the number as you move the cards, one by one, to the bottom:
"O, N, E, '1', T, W, O, '2', etc.
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Comments
mepapa
Apr 22, 2010
 I haven't tried it with cards yet, but I will! I love these kind of card tricks was just about to shut down for the night but thought ... one more look at Braingle and I was hooked thanks for posting , and it's cool to be first comment too!!! 
precious1026
Apr 22, 2010
 Its even better to be first and know and understand the problem at hand. I myself, did not understand this problem the wayit was explained, yet I did understand and got the first two numbers/letters correct. Good Teaser. 
sunnybonghits
Apr 22, 2010
 Very nice! Very doable but requires some thinking. Cheers. 
dalfamnest
Apr 22, 2010
 Thanks  yes, its a fun little challenge. Very good for the problemsolving skill of thinking backwards. Do try it and share it!
I'm glad people are enjoying this  it's not new, but I have written it in an original way. 
auntiesis
Apr 22, 2010
 I love any puzzle that has to do with numbers and logic. Very easy with a pencil and paper, but lots of fun for me. Can't wait to try it on my grand kids. 
eclectric
Apr 22, 2010
 I didn't understand.? After three; count four to the bottom then five to the bottom ,etc. I came up with 9A562481037. It seemed to work.? 
eclectric
Apr 22, 2010
 My bad. I did it faceup; just reread directions. 
thecatladycac
Apr 28, 2013
 I misread the directions, as instead of the named card being removed from the deck and placed on a table. I counted it as having been put onto the bottom of the deck also. The teaser was not workable doing it this way, and so I reread the directions (reading them carefully the first time would have saved a lot of trouble!) After rereading and using paper and pencil, it was actually pretty easy! Good Teaser! 
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