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If \(0<a<\dfrac1{b}<1\) then which of the following must be true?

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by M7MBA » Sun Dec 26, 2021 3:44 pm

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If \(0<a<\dfrac1{b}<1\) then which of the following must be true?

(A) \(a>b>b^2\)

(B) \(b>a>a^2>b^2\)

(C) \(b^2>a>a^2>b\)

(D) \(b^2>a^2>b>a\)

(E) \(b^2>b>a>a^2\)

Answer: E

Source: Manhattan GMAT
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