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Is X an even integer?

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Manager
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Is X an even integer? [#permalink] New post 05 Aug 2004, 08:53
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Ian, could you please help me to understand following type of DS questions? :stupid

Questions stem:
Is X an even integer?

(1) X can be even or odd >> Insufficient

(2) X can be even or decimal

Here, I get confused. As (2) says X either Even or Decimal. Since a decimal is not an integer, the only useful information is that X is even..So the information about X being decimal is useless. Then, isn't (2) enough to answer this question?

http://www.gmatclub.com/phpbb/viewtopic ... ght=#48814 is one of these type of questions ...

Please help...
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Senior Manager
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 [#permalink] New post 05 Aug 2004, 09:41
Although i'm not Ian, i'll try to help.

The question does not tell you that X is an Integer.
You are asked to determine whether X is an even Integer.

Statement 2 alone doesn't help just like the first one didn't.
In the first, X could be either Odd or Even. Not sufficient.
In the second it can be either even or a decimal. Not sufficient.
Using both statement you can say that X is EVEN.
Answer is C.
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 [#permalink] New post 05 Aug 2004, 11:00
Hey Dookie, you can be me any day! That was the right answer.

I already wrote up my own answer, so here it is:

afife76,

Thanks for the question. I looked at yours here and the one on the other post.

I think I understand your question, and i'll try to answer it in several ways.

The question itself asks if x is an even integer. This is the question. Nothing here is a fact. We do not yet know if x is even, nor do we know if it's an integer. We just know that it exists. So don't go into the statements assuming that it IS an integer. We don't know that yet.

Now, these statements I guess you wrote for the sake of your question. On the real test, it won't say something like, "X can be either even or odd" but it would, like in the example with the averages you sited, give some information that would allow you to come to the conclusion that it's either even or odd. For example, it might say "Y is an integer, and Y/2=x". In that case, Y could be either 14 or 16 (for example) and x would be either even or odd. So, of course, if it could be either, we can't answer the question.

Same comment for number 2. It won't come out and say, "X can be either a decimal or an even number", but it might say that x^2>0, which would imply that it could be anything.

So I guess that's the point. Don't confuse the question with a statement of fact. It's not.

Hope that wasn't long winded.
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 [#permalink] New post 05 Aug 2004, 12:04
Thank you very much to both :)

I think I was considering X as an integer for no apparent reason :beat
  [#permalink] 05 Aug 2004, 12:04
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