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# GMATPrep Math Problem 4

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GMATPrep Math Problem 4 [#permalink]  23 Aug 2006, 03:27

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shinewine

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C

S1) try using (x,y,z) = (1,1,3/2) and (2,2,2) - INSUFF

S2) try using (1,1,-4) and (2,2,2) - INSUFF

Both S1&S2 - (2,2,2)

SUFF
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IMO E...I just imagined the graphs... OA plz
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Manager
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jeunesis wrote:
IMO E...I just imagined the graphs... OA plz

what kind of graphs.. can u elaborate...
..
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shinewine

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

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

x^4 +2x^2y^2 +y^2 >z^4

Insuff

2) doesnt tell us anything

E
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Re: GMATPrep Math Problem 4 [#permalink]  24 Aug 2006, 18:36
shinewine wrote:

IMO answer is E. I tried pluggin in numbers

From (1) choose x=4, y=3, z=2 such that x^2 + y^2 > z^2
In this case x^4+y^4 > z^4
Choose x=-1, y=-2 and z=-3 such that x^2+y^2 > z^2
In this case x^4+y^4 < z^4. INSUFF
From (2) choose x=4, y=3, z=2 such that x^2 + y^2 > z^2
In this case x^4+y^4 > z^4
Choose x=2, y=-4 and z=-3
In this case x^4+y^4 < z^4. INSUFF

Hence E.
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E.

I) x^2 + 2xy + y^2 > z^2, but x^2 + y^2 > z^2...??? INSUFF

II) same princ. INSUFF
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Re: GMATPrep Math Problem 4 [#permalink]  24 Aug 2006, 21:20
shinewine wrote:

stumped ! picking numbers is too time consuming.

Heman
Re: GMATPrep Math Problem 4   [#permalink] 24 Aug 2006, 21:20
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