Hi All,

This question can be solved by TESTing VALUES and using the Number Properties that are built-into this question to our advantage.

We're asked if X^3 > Y^2. This is a YES/NO question.

Fact 1: Y = X^2

IF....

X = 0

Y = 0

Is 0^3 > 0^2? The answer to the question is NO.

X = 1/2

Y = 1/4

Is (1/2)^3 > (1/4)^2? The answer to the question is YES.

Fact 1 is INSUFFICIENT

Fact 2: X > X^2

This tells us nothing about Y, so we can quickly deduce that it's insufficient.

However, this info provides us with some serious RESTRICTIONS about X...

X CANNOT be 0

X CANNOT be negative

X CANNOT be greater than or equal to 1

X CAN ONLY BE a POSITIVE FRACTION (that info will come in handy in just a moment).

Fact 2 is INSUFFICIENT.

Combined, we know...

Y = X^2

X is a POSITIVE FRACTION

Under these restrictions, we can rewrite the original question

Is X^3 > Y^2?

as...

Is X(X^2) > X^2?

Since X must be a positive fraction, X^3 will always be SMALLER than X^2, so the answer to the question is ALWAYS NO.

Combined, SUFFICIENT.

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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# Rich Cohen

Co-Founder & GMAT Assassin

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