number system DS

[vertigo05]

If X and Y are nonzero integers, what is the remainder when X is divided by Y?

(1) When X is divided by 2y, the remainder is 4

(2) When X+Y is divided by y, the remainder is 4

Ans : B

[arzanr]

For I you can plug in numbers and get different answers and for II the remainder would be the same since you're just going up one multiple of y hence the ans is B.

[Fiver]

st 2] When X+Y is divided by y, the remainder is 4

X/Y + Y/Y gives 4 as the remainder.
Since Y/Y yeilds 0 as the remainder, the entire 4 must have been yeilded from X/Y.
Hence B

[schumi_gmat]

st 2] When X+Y is divided by y, the remainder is 4

X/Y + Y/Y gives 4 as the remainder.
Since Y/Y yeilds 0 as the remainder, the entire 4 must have been yeilded from X/Y.
Hence B

IMO E

1. is not suff

2. x=4, y=9, then x+y/y yileds 4 and x/y yields 0 remainder
x= 13, y=9, then 22/9 yields 4 and x/y yields 4 as remainder. Hence insuff

3. No solution

Hence E

[Fiver]

2. x=4, y=9, then x+y/y yileds 4 and x/y yields 0 remainder

In this case when x=4 and y=9; x/y =4/9 the remainder is again 4 not 0 because 0/9 itself gives remainder as 0.