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n is an integer different from zero

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Carcass
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n is an integer different from zero [#permalink] New post   28 Jun 2021, 06:32
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n is an integer different from zero


Quantity A
Quantity B
\(n+2 \)
\(\frac{2n+1}{n }\)



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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D
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Re: n is an integer different from zero [#permalink] New post   28 Jun 2021, 07:57
1
Take
\(n = 1\) :: Qt A = Qt B

\(n = 2\) :: Qt A > Qt B

Answer D
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n is an integer different from zero [#permalink] New post   29 Jun 2021, 05:35
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Carcass wrote:
n is an integer different from zero

Quantity A
Quantity B
\(n+2 \)
\(\frac{2n+1}{n }\)


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.


Useful (and often-tested) property: \(\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}\)

Given:
QUANTITY A: \(n+2 \)
QUANTITY B: \(\frac{2n+1}{n }\)

Apply the above property to quantity B to get:
QUANTITY A: \(n+2 \)
QUANTITY B: \(2+\frac{1}{n }\)

Subtract \(2\) from both quantities:
QUANTITY A: \(n\)
QUANTITY B: \(\frac{1}{n }\)

At this point we can see that, when \(n = 1\), the two quantities are equal, and when \(n = 2\), the two quantities are NOT equal

Answer: D
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n is an integer different from zero [#permalink]
29 Jun 2021, 05:35
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