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28 Aug 2010, 13:49
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Is it Ok to take the roots first?For example, in question 1 the roots for statement 1 are 0 and 5. For statement II, 0 and -5
Data sufficiency
1) Is X=5?
(I) \(x^2\) – 5x = 0
(II)\(2x^2\) + 10x= 0
2) Is x = y?
(I) |x-2|= 5
(II) \(y^2\) – 4y – 21=0
Data sufficiency
1) Is X=5?
(I) \(x^2\) – 5x = 0
(II)\(2x^2\) + 10x= 0
2) Is x = y?
(I) |x-2|= 5
(II) \(y^2\) – 4y – 21=0
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28 Aug 2010, 14:16
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briandoldan
I'm not sure that I understand your question... But as for the problems:
Is x=5?
(1) \(x^2-5x=0\) --> \(x=0\) OR \(x=5\). Not sufficient, to answer whether \(x=5\).
(2) \(2x^2+10x=0\) --> \(x=0\) OR \(x=-5\). Here we know that \(x\neq{5}\), hence sufficient.
Answer: B.
Is x = y?
(1) \(|x-2|= 5\). Clearly insufficient as no info about \(y\). But from this statement we know that either \(x=7\) or \(x=-3\).
(2) \(y^2-4y-21=0\). Clearly insufficient as no info about \(x\). But from this statement we know that either \(y=7\) or \(y=-3\).
(1)+(2) Now, it's possible that both \(x\) and \(y\) equal to -3 (or 7) and in this case answer would be YES: \(x=y\) BUT it's also possible \(x\) to be -3 and \(y\) to be 7 (or vise-versa) and in this case answer would be NO: \(x\neq{y}\). Two different answers to the question, hence not sufficient.
Answer: E.
Hope it helps.
