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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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Manager
Joined: 28 Jul 2008
Posts: 99
x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x+y > z [#permalink]

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23 Sep 2008, 09:05
1
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x^4 + y^4 > z^4?

(1) x^2 + y^2 > z^2
(2) x+y > z
SVP
Joined: 07 Nov 2007
Posts: 1789
Location: New York

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23 Sep 2008, 09:43
1
KUDOS
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
x^2= 3 y^2=2 z^2=2

combine 1 and 2
(see 1)
insuffcient

E
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Director
Joined: 27 Jun 2008
Posts: 538
WE 1: Investment Banking - 6yrs

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23 Sep 2008, 10:32
Agreed, same explanation as Suresh.
Manager
Joined: 28 Jul 2008
Posts: 99

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23 Sep 2008, 12:06
1
KUDOS
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 ?
Re: GMATPrep question ?   [#permalink] 23 Sep 2008, 12:06
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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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