document.write( "Question 778808: In a large hallway, there are 500 lockers lined up in a row with all their doors closed.
\n" ); document.write( "Someone with a lot of time on their hands does the following.
\n" ); document.write( "Walking along the whole length of the lockers, every second locker door is opened.
\n" ); document.write( "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.
\n" ); document.write( "Another walk is done changing the position of every fourth door.
\n" ); document.write( "Another walk is done and every fifth door is changed.
\n" ); document.write( "This continues 500 times.
\n" ); document.write( "How many locker doors are open after the 500th walk through?
\n" ); document.write( "Which locker doors are open at the end when all this is completed?
\n" ); document.write( "Can you explain why this is so?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #474915 by psbhowmick(878) $\"\"$ $\"About$

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