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

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Director
Joined: 26 Feb 2006
Posts: 899
Is x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x + y > [#permalink]

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16 Jun 2007, 22:58
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Is x^4 + y^4 > z^4?

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

guys, i do not have OA.
Director
Joined: 14 Jan 2007
Posts: 774

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17 Jun 2007, 06:33
My answer is 'E'.

Stmt1:
take x =y=1/4 and z =1/3 ====> x^4 +y^4 <z> x^4 +y^4 > z ^4
So INSUFF

Stmt2:
same values as in stmt1.
So INSUFF

Taken them together:
Same values. Hence insuff.
17 Jun 2007, 06:33
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Is x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x + y >

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