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das.ashmita
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Case 1: If x = 100, y = 100 and z = 0. ThenA x^2 + y^2.> z^2
x^2 + y^2.> z^2 (2*100^2 > 0) and x^4 + y^4 > z^4 (2*100^4 > 0).
Case 2: If x = 4, y = 4 and z = 5
x^2 + y^2.> z^2 (32 > 25) and x^4 + y^4 < z^4 (512 < 625).
Since we don't have a definite answer, Statement I is insufficient to answer the question.
Case 1: If x = 100, y = 100 and z = 0. ThenB x + y > z
x + y > z (2*100 > 0) and x^4 + y^4 > z^4 (2*100^4 > 0).
Case 2: If x = 4, y = 4 and z = 5
x + y > z (8 > 5) and x^4 + y^4 < z^4 (512 < 625).
Since we don't have a definite answer, Statement II is insufficient to answer the question.
Did you observe that I used the same cases in both the statements ? So, statement I + II combined isn't sufficient to answer the question.
IMO E
p.s: Can you cite the source of the question please. I find it a little tougher than the normal GMAT question and hence the query.
