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 Post subject: If ab ≠ 0, does a = b? (1) xa = xb (2) x = x2
 Post Posted: Fri Feb 03, 2012 6:56 am 
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can u explain ds question
i am unable to get the explaination given.


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 Post subject: Re: If ab ≠ 0, does a = b? (1) xa = xb (2) x = x2
 Post Posted: Sun Feb 05, 2012 5:41 pm 
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ManhattanGMAT Staff


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GMATHKD wrote:
can u explain ds question
i am unable to get the explaination given.


If ab ≠ 0, does a = b? (1) xa = xb (2) x = x^2

I assume that the answer is E. Let's take this apart piece by piece.

First, ab does not equal zero means that neither a nor b is zero. Our question is does a=b?

Let's start with statement 2, since it is far easier:

2) x=x^2
That tell us nothing about a or b. Cross off BD.

1) xa=xb
Let's plug in numbers. If x=1, then a=b.
However, is x=0, then a could be any number and b could be any number. When they are multiplied by zero by will become zero, and thus they do not have to be the same. Thus, 1 is insufficient. Cross off 1.

1+2) Let's go back to statement 2. If x=x^2, then x could be 0 or 1. As we saw when we looked at statement 1, because of this a could be equal to b or a might not be equal to b. Insufficient. The answer must be E.

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Jamie Nelson
ManhattanGMAT Instructor


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