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M03 #24 DS Question : Retired Discussions [Locked]
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Re: M03 DS Question [#permalink]
09 Dec 2008, 22:04
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Is N^x even?
1. N is even 2. x^2-3x+2 = 0
(C) 2008 GMAT Club - m03#24
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient * Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient * BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient * EACH statement ALONE is sufficient * Statements (1) and (2) TOGETHER are NOT sufficient
has to be C.
1: n = lets say 2 but x could be -1, 0, 0.5, 2. Then in all cases, n^x is not an even. so nsff.. 2: x = 1 or 2 but what is n? nsf.
Hi, C is the correct option because even if N is even N^x can be odd. Consider for example N = 4 N^0 = 4^0 =1 which is odd If we consider the second statement then we come to know that x can be either 1 or 2. So from 1 and 2 both we can answer the question properly hence the solution for this is C.
The answer is the first option. An even number raised to any number is always even. However, for the quadratic equation, x=1,2. And it cannot be certainly be told if N^x is even without knowing the value of N.
This question reminds us the importance of fraction, negatives and zero. I lost out on my previous GMAT cuz of this, so now before freezing on the answer for variables in question always remember frazen(fractions, zero and negatives)