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m is a negative integer and n is a nonnegative integer.

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Carcass
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m is a negative integer and n is a nonnegative integer. [#permalink] New post   21 Jul 2020, 07:32
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\(m\) is a negative integer and \(n\) is a non-negative integer.


Quantity A
Quantity B
\(m-n\)
\( n-m \)



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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Re: m is a negative integer and n is a nonnegative integer. [#permalink] New post   21 Jul 2020, 07:38
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m is a negative integer and n is a nonnegative integer. [#permalink] New post   21 Jul 2020, 08:48
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Carcass wrote:
\(m\) is a negative integer and \(n\) is a non-negative integer.


Quantity A
Quantity B
\(m-n\)
\( n-m \)



Let's start by using matching operations (my favorite Quantitative Comparison strategy) to get the m's in one quantity, and get the n's in the other quantity

Given:
Quantity A: m - n
Quantity B: n - m

Add n to both quantities to get:
Quantity A: m
Quantity B: 2n - m

Add m to both quantities to get:
Quantity A: 2m
Quantity B: 2n

Divide both quantities by 2 to get:
Quantity A: m
Quantity B: n

Since we are told that m is a NEGATIVE integer and n is a NON-NEGATIVE integer, we can be certain that Quantity B is greater

Answer: B


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Re: m is a negative integer and n is a nonnegative integer. [#permalink] New post   12 May 2022, 02:10
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: m is a negative integer and n is a nonnegative integer. [#permalink]
12 May 2022, 02:10
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