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Question:  there are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors ion the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 resly. Similarly when the third one goes he does this for 3 6 9 12 15th doors resly. Find number of doors that are open at last.




April 04, 2006 06:43:49 #8
 hima   Member Since: Visitor    Total Comments: N/A 

RE: there are 1000 doors that are of the open-close ty...
 
if the doors which are multiples of 1, 2, 3, ...resp., are opened, then the remaining prime numbered doors will be opened at last
     

 

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