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# Is x a negative number? (1) x^2 is a positive number. (2) x

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Is x a negative number? (1) x^2 is a positive number. (2) x [#permalink]  10 Oct 2009, 15:01
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Is x a negative number?

(1) x^2 is a positive number.

(2) x · |y| is not a positive number.
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Re: Is X Negative? [#permalink]  10 Oct 2009, 15:40

Statement 1: x^2 is a positive number.

x can either be positive or negative. Insufficient.

Statement 2: x*|y| is not a positive number.

There are two possible cases:

1st case: x*|y| < 0, therefore x must be negative.
2nd case: x*|y| = 0, therefore x or y can be zero, and this doesn't prove anything about x.

Therefore, insufficient.

Evaluating both Statements

We know that |x| > 0, and that x*|y| <= 0. If y is non-zero, X must be negative. However, if Y = 0, then it doesn't matter what X is. Insufficient.
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Re: Is X Negative? [#permalink]  10 Oct 2009, 17:14
OA is E

Great explanation
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Re: Is X Negative? [#permalink]  10 Oct 2009, 17:15
OA is E, great explanation, nothing to add!
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Re: Is X Negative? [#permalink]  10 Oct 2009, 22:32
hogann wrote:
Is x a negative number?

(1) x^2 is a positive number.

(2) x · |y| is not a positive number.

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Re: Is X Negative? [#permalink]  10 Oct 2009, 23:04
GMAT TIGER wrote:
hogann wrote:
Is x a negative number?

(1) x^2 is a positive number.

(2) x · |y| is not a positive number.

Another flawed question.
Didi you get the question correctly from its source?
Source???

It lets us know that x is not equal to zero.
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Re: Is X Negative? [#permalink]  10 Oct 2009, 23:39
AKProdigy87 wrote:
GMAT TIGER wrote:
hogann wrote:
Is x a negative number?

(1) x^2 is a positive number.

(2) x · |y| is not a positive number.

It lets us know that x is not equal to zero.

Thanks.. That makes sense.
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Re: Is X Negative?   [#permalink] 10 Oct 2009, 23:39
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