Is x 0 (1) x

Question

Is x > 0

(1) x < x^2 
(2) x^2 < x^3

Anurag@Gurome · Answer

(1) If x = 2, then x^2 = 4 ; here x > 0 If x = -2, then x^2 = (-2)^2 = 4 ; here x < 0 x may or may not be greater than 0. Hence, there is no unique answer. So, statement 1 is NOT SUFFICIENT. (2) x^2 < x^3 implies that x > 1, which implies x is always positive. So, x > 0. So, statement 2 is SUFFICIENT. The correct answer is B.

Bunuel · Answer

Is x > 0 ? (1) x < x^2 --> x(x-1)>0 --> x<0 or x>1. Not sufficient. (2) x^2 < x^3 --> x^2(x-1)>0 --> x>1. Sufficient. Answer: B.

thesfactor · Answer

Very easy. Question asks if x is positive ...fraction OR integer doesn't matter.. 
Statement 1 says that x is either a negative fraction OR a positive integer.
Statement 2 says that x is definitely a positive integer.
Hence B

subhashghosh · Answer

(1) x-x^2 < 0 x(1-x) < 0 => x > 1 or x < 0, so not sufficient (2) x^2 < x^3 => x is +ve as if x is -ve then, then x^3 will be -ve while x^2 will be still +ve and +ve can't be < -ve Answer B.

Is x > 0 (1) x < x^2 (2) x^2 < x^3

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