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OpenStudy (anonymous):
Math Brainteaser Suppose you're in a hallway lined with 75 closed lockers. You begin by opening every locker. Then you close every third locker. Then you go to every second locker and open it (if it's closed) or close it (if it's open). Let's call this action toggling a locker. Continue toggling every nth locker on pass number n. After 75 passes, where you toggle only locker #75, how many lockers are open?
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