Saturday, September 17, 2011

Puzzle: Finger counting

Start counting on the fingers on one hand thusly: 1 thumb, 2 index finger, 3 middle finger, 4 ring finger, 5 little finger, 6 ring finger, 7middle finger, 8 index finger, 9 thumb and so on.


Which finger would you end up on if you were counting to 123456789? That over 123 million in case you think it's a trick question. Assume that you aren't carted of to the funny farm while doing it.


Answer:
A complete cycle starting at thumb = 1 ends at thumb = 9. So you add 8 each time you return to the thumb. So you only need to deal with the remainder after dividing by 8. For 123456789 the remainder after dividing by 8 is 5 and that corresponds to the little finger.

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