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Is x^2 > y^2?

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Is x^2 > y^2?  [#permalink]

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New post 14 May 2017, 02:00
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A
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E

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  45% (medium)

Question Stats:

63% (00:47) correct 38% (00:51) wrong based on 80 sessions

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TRICKY


Is x^2 > y^2?

(1) x > y
(2) x > 0

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Re: Is x^2 > y^2? (1) x > y (2) x > 0  [#permalink]

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New post 14 May 2017, 02:12
St1: x > y
x = 1/2; y = -1 --> x^2 < y^2
x = 2; y = 1 --> x^2 > y^2
Not Sufficient

St2: x > 0 --> Clearly insufficient as we have no information about y

Combining St1 and St2, we can use the conditions mentioned in St1 and we get both yes and no answer.
Not Sufficient

Answer: E
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Re: Is x^2 > y^2?  [#permalink]

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New post 14 May 2017, 02:20
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1
Is x^2 > y^2?

Is |x| > |y|?

So, the question basically asks whether x is further from 0 than y is.

(1) x > y. Not sufficient.

(2) x > 0. Not sufficient.

(1)+(2) We know that x is positive and greater than 0. Still not sufficient to say whether x is further from 0 than y is. Consider below:

--y----------0--x NO answer.
--0----------y--x YES answer.

Answer: E.
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Re: Is x^2 > y^2?  [#permalink]

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New post 14 May 2017, 02:23
ziyuen wrote:

TRICKY


Is x^2 > y^2?

(1) x > y
(2) x > 0


As the question stem is fairly simple we can directly move on to Statements. Easiest way could be to solve it through substitution

Statement 1: from this statement if x=2 & y=1, then X^2>y^2 but if x = 2 & y = -3 then in that case y^2>x^2. Hence insufficient

Statement 2: This statement does not tell us anything about y. we only know that x is positive. Hence insufficient'

Combining 1 & 2 will also give different results for x =2 & y =1 & x=2 & y=-3. Hence insufficient

So, Option E
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Re: Is x^2 > y^2?  [#permalink]

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New post 25 Aug 2018, 08:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x^2 > y^2? &nbs [#permalink] 25 Aug 2018, 08:27
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