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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 rely. Similarly when the third one goes he does this for 3 6 9 12 15th doors rely. Find number of doors that are open at last.
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find a no which gives remainders as follows for the divider..divider and remainder are for 9 remainder is 8,for 8 its 7,for 7 remainder is 6, for 6 remainder is 5, for 5 remainder is 4, for 4 its 3, for 3 its 2 and for 2 its 1
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