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Is h^2 = h?

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Is h^2 = h?

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Is \(h^2 = h?\)

(1) \(h + h = h\)
(2) \(h - h = h\)

OA=D

Source: GMAT Prep

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GMAT/MBA Expert

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VJesus12 wrote:
Is \(h^2 = h?\)

(1) \(h + h = h\)
(2) \(h - h = h\)
Target question: Is h² = h?

Statement 1: h + h = h
Subtract h from both sides to get: h = 0
If h = 0, then h² = h becomes 0² = 0 (WORKS!)
The answer to the target question is YES, h² = h
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: h - h = h
Simplify left side to get: 0 = h
If h = 0, then h² = h becomes 0² = 0 (WORKS!)
The answer to the target question is YES, h² = h
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

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