SOLUTION: In a large hallway, there are 500 lockers lined up in a row with all their doors closed. Someone with a lot of time on their hands does the following. Walking along the whole len

Question 778808: In a large hallway, there are 500 lockers lined up in a row with all their doors closed.
Someone with a lot of time on their hands does the following.
Walking along the whole length of the lockers, every second locker door is opened.
On the next walk along, the person changes the position of the door of every third locker � thus if it was opened they now close it � if it was closed they now open it.
Another walk is done changing the position of every fourth door.
Another walk is done and every fifth door is changed.
This continues 500 times.
How many locker doors are open after the 500th walk through?
Which locker doors are open at the end when all this is completed?
Can you explain why this is so?

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
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