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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