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Is y = 7?

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by VJesus12 » Thu Feb 01, 2018 1:37 am
Is y = 7?

(1) (x - 4) = 0
(2) (x - 3)(y - 7) = 0

The OA is the option C.

Why is C? Just with the statement (2) is not sufficient? Experts, may yo clarify this for me? Thanks.<i class="em em-disappointed"></i>
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Source: — Data Sufficiency |

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by ErikaPrepScholar » Thu Feb 01, 2018 6:38 am
Statement 1
This tells us nothing about y, so it's clearly insufficient on its own. It *does* tell us that x =4, which will be useful information later.

Statement 2
For (x-3)(y-7) to equal zero, either x-3 or y-7 must equal zero. So this statement can be true if x =3 (no matter what y equals) or if y=7 (no matter what x equals). So if x=3, y may equal 7, but it doesn't have to. Insufficient.

Both
Statement 1 tells us that x=4, which means that x-3 equals 1, not zero. This means that y must equal 7 to make (x-3)(y-7) equal zero. Sufficient.
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