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Is x = 1/y?

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jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
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Posted:
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Is x = 1/y?

Post Mon Jul 24, 2017 9:32 am
Is x = 1/y?

(1) xy = 1
(2) 1/(xy) = 1

Official Guide question
Answer: D

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GMAT/MBA Expert

Post Mon Jul 24, 2017 9:39 am
jjjinapinch wrote:
Is x = 1/y?

(1) xy = 1
(2) 1/(xy) = 1

Official Guide question
Answer: D
Target question: Is x = 1/y?

Statement 1: xy = 1
This tells us that y does NOT equal 0
So, if we take xy = 1 and divide both sides by y, we get x = 1/y
PERFECT, this is exactly what we are looking for.
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 1/(xy) = 1
This tells us that x and y do NOT equal 0
So, we can take 1/(xy) and multiply both sides by x to get 1/y = x
Also PERFECT!
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

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Brent

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