E
let x = 4 y = 4 z = 5 and x = 1 y =2 z = 2
x^2 + y^2 = 32 > 25
But x^4 + y^4 = 256 + 256 < 625
1 + 4 > 5 and 1 + 16 > 16
So not sufficient
x+ y > z 8> 4
Apply same set of values.
Not sufficient
Both together x= 3 y = 3 and z = 4 and x = 1 y = 2 z =2
Answer is E.
Thanks
Raama
GMAT prep
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Source: Beat The GMAT — Data Sufficiency |












