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The question for me ok but OE or OA are something misleading or ambigious. Since the question is asking whther x is an odd or even. This is yes/no question. So it excludes all posssibilities other than ODD and EVEN.

Statement 1 is a standard GMAT level information cus it has no ambiguity but Statement 2 is definitely an ambigious one. We can argu that x can be a fraction, but the issue is not a possibility of x being a fraction. The issue in hand here is whether x is odd or even. So the question should exclude all possibility of x being other than odd or even.

I know we can keep on arguing on statement 2 but I for me it (statement 2) is sufficient.
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The question for me ok but OE or OA are something misleading or ambigious. Since the question is asking whther x is an odd or even. This is yes/no question. So it excludes all posssibilities other than ODD and EVEN.

Statement 1 is a standard GMAT level information cus it has no ambiguity but Statement 2 is definitely an ambigious one. We can argu that x can be a fraction, but the issue is not a possibility of x being a fraction. The issue in hand here is whether x is odd or even. So the question should exclude all possibility of x being other than odd or even.

I know we can keep on arguing on statement 2 but I for me it (statement 2) is sufficient.

GT, I do not think, stmt2 has ambiguity. Take the example of x = 1,3,5,7,9,..... and x^3 is odd. Also, take x = cube root of 1,3,5,7,9,.... and x^3 is odd. Thus, in one case, x is odd and in the other case it is not odd. That is the reason why stmt2 is not sufficient.