dhairya275 wrote:Is a^3 > a^2?
(1) 1/a > a
(2) a^5 > a^3
a³ > a² only if a≠0.
If a≠0, then a² is positive, implying that we can safely divide each side of the question stem by a²:
a³/a² > a²/a²
a>1.
Question rephrased: Is a>1?
Statement 1: 1/a > a
No value greater than 1 will work here:
SUFFICIENT.
Statement 2: a� > a³
a� > a³ only if a≠0.
If a≠0, then a² is positive, implying that we can safely divide each side here by a²:
a�/a² > a³/a²
a³ > a.
It's possible that a=2, since 2³ > 2.
It's possible that a=-1/2, since (-1/2)³ > -1/2.
INSUFFICIENT.
The correct answer is
A.
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