If $A$ and $B$ are consecutive positive integers less

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If $A$ and $B$ are consecutive positive integers less than 100, what is the value of $B$?

1. $A$ is the cube of an integer.
2. $B$ is the square of an integer.

OA C

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by Ian Stewart » Tue Jul 09, 2019 6:58 am

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Clearly neither Statement is sufficient alone. Using both, the only positive cubes less than 100 are 1, 8, 27 and 64, and the only cube that is one away from a positive perfect square is 8 (since it's one less than 9), so B = 9, and the answer is C.

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