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Is x > y?

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Is x > y?

by VJesus12 » Sat Jan 06, 2018 4:04 am
Is x > y?

(1) x^2 > y

(2) x - |y| > 0

The OA is the option B .

Why is the statement (1) not sufficient? Experts, can you give me an example? Please.
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Jan 08, 2018 4:17 am
VJesus12 wrote:Is x > y?

(1) x^2 > y

(2) x - |y| > 0

The OA is the option B .

Why is the statement (1) not sufficient? Experts, can you give me an example? Please.
(1) x^2 > y

If x is positive, then x > y; however, if x is negative, then x < y. Insufficient.

Case 1: x = 2 and y = 1, then x > y, and 2^2 > 1 => 4 > 1. The answer is Yes.
Case 2: x = -2 and y = 1, then x < y, and (-2)^2 > 1 => 4 > 1. The answer is No.

(2) x - |y| > 0

x > |y|

Since |y| is positive, x is positive. Whether y is negative or positive, x > y. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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