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If \(A\) and \(B\) are consecutive positive integers less

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by AAPL » Mon Jul 08, 2019 2:22 pm

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Princeton Review

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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Source: — Data Sufficiency |

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