Rewriting:
Is x^3-x^2>0?
Is x^2(x-1)>0?
This will be true if x>1 and false if x<1.
Statement 1: x>0. From the above analysis, the question will be true if x>1, such as 2, but false if 0<x<=1, such as 1/2, both of which are possible if x>0. INSUFFICIENT.
Statement 2: x^2>x, or x^2-x>0 or x(x-1)>0. This is means that either x>1 or x<0. If x>1, x^3>x^2 is true. If x<0, it is false. INSUFFICIENT.
Statements 1&2: If we know that x>0 (from statement 1), then the only way statement 2 could be true is if x>1. Thus, x is definitely greater than 1. We already demonstrated that x^3>x^2 is always true when x>1. SUFFICIENT.
vinni.k wrote:Is x^3 > X^2 ?
(1) x > 0
(2) x^2 > x
Answer is C
Why not answer is E ?
Thanks & Regards
Vinni
