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General GMAT Questions and Strategies | Re: The Ultimate Q51 Guide [Expert Level]

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Is a=b?

1) a^2=b^2
2) a=2

==> In the original condition, there are 2 variables (a,b) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), from a=2, you get b2=22=4, then b=±2. Thus, (a,b)=(2,2) yes but (a,b)=(2,-2) no, hence it is not sufficient. The answer is E.
Answer: E

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