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If x is not equal to y and if √x = y, what is the value of y3 ? (1) x = yx (2) x3 = 8
My ans is B but the solution said it is D . Please explain .
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There is something wrong with this question.
If x is not equal to y and if √x = y, what is the value of y^3 ?
Given: \(x\neq{y}\) and \(\sqrt{x}=y\).
(1) x = yx --> \(x=x*\sqrt{x}=\) --> \(x(\sqrt{x}-1)=0\). Now, from this, either \(x=0\) and in this case \(y=0\) too, which contradicts given condition that \(x\neq{y}\) or \(x=1\) and in this case \(y=1\) too, which also contradicts the same condition that \(x\neq{y}\).
On the GMAT, a statement never contradicts the stem.
(2) x^3 = 8 --> \(x=2\). This on the other hand contradicts statement (1) which say that \(x=0\) or \(x=1\).
On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.
So, to summarize: this is a flawed question, don't study it.
I'll leave a topic open in case you have any comment and then lock/delete it.
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Hi there,
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