If \(x, y,\) and \(n\) are positive integers, is \(\left(\dfrac{x}{y}\right)^n\) greater than \(1,000 ?\)

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If \(x, y,\) and \(n\) are positive integers, is \(\left(\dfrac{x}{y}\right)^n\) greater than \(1,000 ?\)

(1) \(x=y^3\) and \(n>y.\)

(2) \(x>5y\) and \(n>x.\)

Answer: B

Source: GMAT Paper Tests