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What is the value of y?

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Tue May 08, 2018 8:57 pm

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Gmat_mission wrote:What is the value of y?

(1) 3|x^2 - 4| = y - 2
(2) |3 - y| = 11

[spoiler]OA=C[/spoiler].

Can anyone explain this DS question to me? I'd appreciate any help. Thanks.
Let's take each statement one by one.

(1) 3|x^2 - 4| = y - 2

We do not have any information about the value of x. Thus, we cannot get the value of y. Insufficient.

(2) |3 - y| = 11

=> 3 - y = 11 => y = -8
=> -3 + y = 11 => y = 14

No unique value of y. Insufficient.

(1) and (2) together

Let's closely analyze Statement 1 (3|x^2 - 4| = y - 2 ), we see that the LHS (3|x^2 - 4|) is a positive number, thus, the RHS (y - 2) must also be positive.

This implies that the negative value of y (= -8) from Statement 2 is not applicable. Thus, y = 14. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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