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Re: If x is a positive integer, which is greater: x^2 or x^3? [#permalink]
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X is a positive integer:
We do not have to worry about the case 0<x<1, as x is integer.

However:
If x=1, x^3=1 and x^2=1 here, QA=QB
if x!=1 (say x=2) x^3=8, x^2=4. For all x!=1, x^3>x^2 (QA<QB)
Since we have no way of excluding x=1, we remain with two cases and the answer must be D.
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Re: If x is a positive integer, which is greater: x^2 or x^3? [#permalink]
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Since x is NONZERO, both quantities can safely be divided by \(x^2\), yielding the following:

Quantity A
Quantity B
1
x


If x=1, the two quantiies are EQUAL.
Eliminate A and B.
If x=2, the two quantities are NOT equal.
Eliminate C.

Show: ::
D
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Re: If x is a positive integer, which is greater: x^2 or x^3? [#permalink]
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Re: If x is a positive integer, which is greater: x^2 or x^3? [#permalink]
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