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If x is an integer greater than 1: x^2 or x^3?

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Bunuel
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If x is an integer greater than 1: x^2 or x^3? [#permalink] New post   29 Oct 2017, 02:00
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x is an integer greater than 1

Quantity A
Quantity B
\(x^2\)
\(x^3\)


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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B
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IlCreatore
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Re: If x is an integer greater than 1: x^2 or x^3? [#permalink] New post   30 Oct 2017, 07:31
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Since x > 1, x^3 > x^2 and quantity B is greater.

Answer B
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If x is an integer greater than 1: x^2 or x^3? [#permalink] New post   30 Jul 2020, 06:33
Bunuel wrote:
x is an integer greater than 1


Quantity A
Quantity B
\(x^2\)
\(x^3\)




We can also solve this question using matching operations (my favorite Quantitative Comparison strategy)

Since we can be certain that \(x^2\) is POSITIVE, we can safely divide both quantities by \(x^2\) to get:
Quantity A: \(1\)
Quantity B: \(x\)

Since we're told x is an integer greater than 1, the correct answer must be B


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Re: If x is an integer greater than 1: x^2 or x^3? [#permalink] New post   30 Jul 2020, 14:00
Bunuel wrote:
x is an integer greater than 1

Quantity A
Quantity B
\(x^2\)
\(x^3\)


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.


The only way Quantity B could not be greater than Quantity A is if x is a negative number, a fraction, or 0. Since the prompt rules all of those scenarios out, the answer is B.
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Re: If x is an integer greater than 1: x^2 or x^3? [#permalink]
30 Jul 2020, 14:00
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