If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y?  Choose the correct choice from the following:	A) 8	B) 21	C) 25	D) 44	E) 47
The answer is 21 - 21 because 21/0.375 yields an integer (= 56) and none of the other options does   x/y = Integer + Remainder   =&gt; x/y = 33 + 0.375   Multiplying both sides by 56,   56(x/y) = 56*33 + 21   ALTERNATIVELY,you may calculate as follows:   x/y = 33.375   =&gt; x/y = 33375/1000 = 267/8 = (33*8 + 3)/8   Multiply both sides by 7 to get   x/y = (33*56 + 21)/8 which can be written as 33*56/8 + 21/8   Once we know that we can get 3 as a remainder, we can select the answer choice that is a multiple of 3 (21 in this case)   The answer is therefore choice (21)
<result>B</result>
If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y?