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23 Dec 2010, 10:45
Kudos
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What is the value of\(x^2\) ?
1) X= \(\sqrt{2X-1}\)
2) \(x^2\) = \(x^3\)
why statmnt 2 isn't sufficient. we are asked to find the value of \(X^2\). So X=0 or X=1
isn't it Yes / No question, where , when we come up with two answers we reject the solution.
Please clarify
Thanks
1) X= \(\sqrt{2X-1}\)
2) \(x^2\) = \(x^3\)
why statmnt 2 isn't sufficient. we are asked to find the value of \(X^2\). So X=0 or X=1
isn't it Yes / No question, where , when we come up with two answers we reject the solution.
Please clarify
Thanks
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23 Dec 2010, 10:58
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shrive555
In a Yes/No Data Sufficiency question, statement is sufficient if the answer is “always yes” or “always no” while a statement is insufficient if the answer is "sometimes yes" and "sometimes no".
If the GMAT asks, in a DS question, for a value, you only have sufficient information if you can get a single numerical value for the answer.
What is the value of x^2?
(1) \(x=\sqrt{2x-1}\) --> square both sides --> \(x^2=2x-1\) --> \(x^2-2x+1=0\) --> \((x-1)^2=0\) --> \(x=1\) --> \(x^2=1\), we have a single numerical value of \(x^2\). Sufficient.
(2) \(x^2=x^3\) --> \(x^2(x-1)=0\) --> \(x=0\) or \(x=1\), we can not get a single numerical value for the answer. Not sufficient.
Answer: A.
Hope it's clear.
23 Dec 2010, 11:27
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Only one numerical value for the answer !!! Got it...
Thanks B
Thanks B
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