Puzzle #40

100 Closed Lockers

Suppose you're in a hallway with 100 closed lockers.

You start to open every locker, one by one. Then you close every second locker. Then you go to every third locker and open it (if it's closed) or close it (if it's open). Let's name it toggling a locker. Continue toggling every Nth locker on pass number N. After 100 passes, when you miss 99 lockers and toggle only locker #100, how many lockers will be open?


	100 Closed Lockers Suppose you're in a hallway with 100 closed lockers. You start to open every locker, one by one. Then you close every second locker. Then you go to every third locker and open it (if it's closed) or close it (if it's open). Let's name it toggling a locker. Continue toggling every Nth locker on pass number N. After 100 passes, when you miss 99 lockers and toggle only locker #100, how many lockers will be open?
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