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# If mn≠0, what is the value of m+1/m-n+1/n?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4882
GPA: 3.82
If mn≠0, what is the value of m+1/m-n+1/n? [#permalink]

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28 Feb 2017, 00:42
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25% (medium)

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58% (00:44) correct 42% (00:35) wrong based on 67 sessions

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If mn≠0, what is the value of $$\frac{m+1}{m}-\frac{n+1}{n}$$?

1) m=n
2) m=1
[Reveal] Spoiler: OA

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Last edited by Bunuel on 02 Mar 2017, 04:20, edited 1 time in total.
Edited the OA.
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4882
GPA: 3.82
Re: If mn≠0, what is the value of m+1/m-n+1/n? [#permalink]

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02 Mar 2017, 00:37
==> If you modify the original condition and the question, you get $$\frac{m+1}{m}-\frac{n+1}{n}=\frac{n(m+1)-m(n+1)}{mn}= \frac{nm+n-mn-m}{mn}=\frac{n-m}{mn}=?$$. Then, for con 1), m=n, so n-mmn=0, hence it is unique and sufficient.

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Re: If mn≠0, what is the value of m+1/m-n+1/n? [#permalink]

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02 Mar 2017, 00:40
1
KUDOS
MathRevolution wrote:
==> If you modify the original condition and the question, you get $$\frac{m+1}{m}-\frac{n+1}{n}=\frac{n(m+1)-m(n+1)}{mn}= \frac{nm+n-mn-m}{mn}=\frac{n-m}{mn}=?$$. Then, for con 1), m=n, so n-mmn=0, hence it is unique and sufficient.

MathRevolution : The correct option is A but the OA marked in the question is B, can you please correct it ?
Math Expert
Joined: 02 Sep 2009
Posts: 43810
Re: If mn≠0, what is the value of m+1/m-n+1/n? [#permalink]

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02 Mar 2017, 04:21
0akshay0 wrote:
MathRevolution wrote:
==> If you modify the original condition and the question, you get $$\frac{m+1}{m}-\frac{n+1}{n}=\frac{n(m+1)-m(n+1)}{mn}= \frac{nm+n-mn-m}{mn}=\frac{n-m}{mn}=?$$. Then, for con 1), m=n, so n-mmn=0, hence it is unique and sufficient.

MathRevolution : The correct option is A but the OA marked in the question is B, can you please correct it ?

Done. Edited the OA. Thank you.
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Re: If mn≠0, what is the value of m+1/m-n+1/n?   [#permalink] 02 Mar 2017, 04:21
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