If both X and Y are positive integers and X/Y=2.625 , which of the following can be a remainder of X divided by Y?
(C) 2008 GMAT Club - m09#8
It follows from the stem that X=2Y+0.625Y. Therefore, the remainder can be expressed as 0.626Y=5/8*Y where Y is a positive integer. Then Y is a multiple of 8, and the remainder is a multiple of 5.
Can anybody give a detailed explanation? I don't understand the OE, particularly the last sentence.