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a is a positive integer

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Carcass
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a is a positive integer [#permalink] New post   18 May 2022, 08:04
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a is a positive integer

Quantity A
Quantity B
\( \frac{1}{a^7}\)
\(\frac{1}{a^{10}}\)



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

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D
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Vish44
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Re: a is a positive integer [#permalink] New post   18 May 2022, 08:24
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Shouldn't the answer be D? The two quantities will be equal when a = 1.
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PatrickBotchwey
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a is a positive integer [#permalink] New post   Updated on: 18 May 2022, 11:22
.

Originally posted by PatrickBotchwey on 18 May 2022, 08:27.
Last edited by PatrickBotchwey on 18 May 2022, 11:22, edited 1 time in total.
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Re: a is a positive integer [#permalink] New post   18 May 2022, 08:45
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Carcass wrote:
a is a positive integer

Quantity A
Quantity B
\( \frac{1}{a^7}\)
\(\frac{1}{a^{10}}\)




STRATEGY: When I encounter a Quantitative Comparison question featuring algebraic expressions, I immediately look for any obvious values that would make the two quantities equal (I call the strategy "Looking for Equality")

For this question, I can see that, if \(a = 1\), then Quantity A = Quantity B
At this point, I know the correct answer is either C or D.

Let's test another a-value
If \(a = 2\), then Quantity A ≠ Quantity B

Answer: D

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Re: a is a positive integer [#permalink] New post   18 May 2022, 08:46
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Vish44 wrote:
Shouldn't the answer be D? The two quantities will be equal when a = 1.

You're absolutely right.
I have edited the official answer
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gmatclubot
Re: a is a positive integer [#permalink]
18 May 2022, 08:46
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