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x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x+y > z

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x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x+y > z [#permalink]

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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

x^4 + y^4 > z^4?

(1) x^2 + y^2 > z^2
(2) x+y > z

Kudos [?]: 9 [1], given: 0

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SVP
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Joined: 07 Nov 2007
Posts: 1795

Kudos [?]: 1032 [1], given: 5

Location: New York
Re: GMATPrep question ? [#permalink]

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New post 23 Sep 2008, 10:43
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oziozzie wrote:
x^4 + y^4 > z^4?

(1) x^2 + y^2 > z^2
(2) x+y > z


2) x=1/2 y=2/3

x^4 + y^4 > z^4 --> false
1/16 + 16/81 < 1

when x=3 y=2 z=2
x^4 + y^4 > z^4 --> true

insuffcient

1) same as 2
x^2= 1/2 y^2=2/3 z^2=1
answer is false
x^2= 3 y^2=2 z^2=2
answer is true.

combine 1 and 2
(see 1)
insuffcient

E
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Re: GMATPrep question ? [#permalink]

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New post 23 Sep 2008, 11:32
Agreed, same explanation as Suresh.

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Re: GMATPrep question ? [#permalink]

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New post 23 Sep 2008, 13:06
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guys,

it is not always possible to choose correct numbers that will show sufficiency of a statement. And if you can't choose good numbers that will show a statement is sufficient or insufficient, than you will both lose time and choose the incorrect answer.

Is there a better approach for this question ? I mean, some other method to show sufficiency symbollically ?

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Re: GMATPrep question ?   [#permalink] 23 Sep 2008, 13:06
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x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x+y > z

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