If x and y are integers, is xy

If x and y are integers, is xy even?

2 Explanations

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ZOE ZHUYAN

hi tutors,
I picked up B, because I think that state 1 is not sufficient and that state 2 is sufficient
I can get some examples for state 1 as following:
for example, X=1, Y=0, then XY = 0, which is not even
for example ,X=2, Y=1, then XY = 2, which is even.

please point out my fault.

thank a lot
have a nice day
>_~

Nov 1, 2016 • Comment

Sam Kinsman, Magoosh Tutor

Hi Zoe, your reasoning here is good - just keep in mind that zero is an even number! (https://en.wikipedia.org/wiki/Parity_of_zero) So if x=1 and y=0, then xy = 0 which is even. So if S1 is true, xy must be even :)

Nov 2, 2016 • Reply

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Mike McGarry, Magoosh Tutor