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Pastimes : Brain Teasers.
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To: PaperProphet who wrote ()3/7/1998 10:14:00 PM
From: PaperProphet   of 136
 
Locker door answer.

Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 will NOT be in their original position. These numbers are squares and therefore will have an odd number of factors (including the number 1). ie. students 1, 3, 9, 27, and 81 will toggle locker 81 leaving it in its opposite state. For other lockers there will be an even number of factors (with 1 again.) i.e. locker 80 is toggled by 1 and 80, 2 and 40, 4 and 20, 5 and 16, leaving the locker in it's original state.
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