GMATPrep Math Problem 4

Question

Please solve this GMATPrep Question

Kindly ignore the marked answer

agsfaltex · Answer

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

jeunesis · Answer

IMO E...I just imagined the graphs... OA plz

shinewine · Answer

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

mattflow · Answer

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

yessuresh · Answer

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.

zorro13 · Answer

E.


I) x^2 + 2xy + y^2 > z^2, but x^2 + y^2 > z^2...??? INSUFF

II) same princ. INSUFF

heman · Answer

stumped ! picking numbers is too time consuming.

Heman

GMATPrep Math Problem 4

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