(A) N is the minimum positive integer such that 2013*N is a perfect square and 2014*N is a perfect cube.

Determine (with proof) the remainder when N is divided by 7.

(B) What would have been the answer if 2013*N was a perfect cube and 2014*N was a perfect square?

(In reply to What am I missing? (spoiler) by Steve Herman)

You miss nothing.

It is a very rudimentary and not-so-challenging d2 problem.

Posted by Ady TZIDON on 2013-04-22 16:00:48