Data Sufficiency

If X & Y are integers, is xy even?
1) x = Y+1
2) x/y is even integer

OA D. MY answer B. incase of 1st statement, do we consider 0 or not. i guess 0 is an integer and 0 is neither even nor odd. Please advice.

Hi,
Zero is even. When we divide zero by 2, remainder is zero. That is enough to say that zero is evn.
Hence, D

1. X = Y+1

Assume Y is Even then X is Odd then XY is Even
Assume Y is Odd then X is Even then also XY is Even

Statement one is sufficient

2. X/y = Even Integer

X = y*Even For multiplication even if any one of the multiple is Even then result is Even so X is Even. Applying similarly to XY, XY is even.

Statement two is sufficient

Answer D

Many GMAT questions are looking to see whether you understand how zero works. Zero is neither positive nor negative, but it is even. That fact will help you with many data sufficiency questions.

shyamprasadrao wrote:If X & Y are integers, is xy even?
1) x = Y+1
2) x/y is even integer

OA D. MY answer B. incase of 1st statement, do we consider 0 or not. i guess 0 is an integer and 0 is neither even nor odd. Please advice.

essentially asking if xy = either eo/ee

1) case 1: e = o + o
case 2: o = e + o
gives you: eo/eo
2) y must be even; to get an integer from an even, it must also be even.
x/e=e; ee=x; we know that ee=e.

D

For statement 2, Y does not have to be even, but X does (e.g.x = 6 and y = 3)