E)

Stmt I)

x^2+y^2 > z^2

Square both sides

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

Since we dont know anyhting about the value 2 x ^ 2 y^2 cant say if just
x^4 + y ^ 4 > z ^ 4 (may or may not be)

INSUFF

Stmt II

Pick numbers

x=2 y =4 z=3

x^4 + y ^ 4 > z ^ 4

x=2 y=5 z=7

x^4 + y ^ 4 < z ^ 4

INSUFF

Both stements put together still INSUFF

cramya wrote:E)

Stmt I)

x^2+y^2 > z^2

Square both sides

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

Cramya, we don't know whether the sign will stay the same, when you square both sides/

4 > -5

16 < 25

You are squaring something and adding on one side and squaring something on the other side. Hence it will always be positive so we can square this.

cramya wrote:You are squaring something and adding on one side and squaring something on the other side. Hence it will always be positive so we can square this.

As long as they are not complex numbers.

In Alice's Wonderland yes they can be complex numbers but not in the GMAT land

cramya wrote:In Alice's Wonderland yes they can be complex numbers but not in the GMAT land

You got me!