If \(a^2b > 1\) and \(b < 2,\) which of the following could be the value of \(a?\)

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B

C

D

E

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If \(a^2b > 1\) and \(b < 2,\) which of the following could be the value of \(a?\)

A. \(\dfrac12\)

B. \(\dfrac14\)

C. \(-\dfrac12\)

D. \(-2\)

E. \(\dfrac23\)

Answer: D

Source: Manhattan GMAT