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# If m and n are consecutive positive integers, is m greater

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Intern
Joined: 13 Jan 2012
Posts: 36
If m and n are consecutive positive integers, is m greater  [#permalink]

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19 Jan 2012, 11:09
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5% (low)

Question Stats:

86% (01:14) correct 14% (01:39) wrong based on 228 sessions

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If m and n are consecutive positive integers, is m greater than n?

(1) m-1 and n+1 are consecutive positive integers
(2) m is an even integer.
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Math Expert
Joined: 02 Sep 2009
Posts: 58316
Re: OG12 - Quant 2nd Ed - Qn 86 - Consecutive Postives?  [#permalink]

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19 Jan 2012, 11:16
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fxsunny wrote:
If m and n are consecutive positive integers, how can m-1 and n+1 be consecutive positive integers??? The question leads you to believe so.

Here's the question verbatim:

86. If m and n are consecutive positive integers, is m greater than n?
(1) m-1 and n+1 are consecutive positive integers
(2) m is an even integer.

Consider the following values: n=1 and m=2, so as the stem says m and n are consecutive integers. Now, m-1=1 and n+1=2 and again m and n are consecutive integers.

Complete solution:
If m and n are consecutive positive integers, is m greater than n?

(1) m-1 and n+1 are consecutive positive integers --> m>n, if m were less than n than m-1 (integer less than m) and n+1 (integer more than n) wouldn't be consecutive. Sufficient.

Or look at this in another way: stem says that the distance between m and n is 1. Now, if m<n then the distance between m-1 and n+1 would be 3 and they couldn't be consecutive as (1) states. Thus it must be true that m>n.

(2) m is an even integer. Clearly insufficient.

Answer: A.

Hope it's clear.
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Intern
Joined: 13 Jan 2012
Posts: 36
Re: If m and n are consecutive positive integers, is m greater  [#permalink]

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19 Jan 2012, 11:39
Posting that question was truly a senior moment thanks.
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Joined: 09 Sep 2013
Posts: 13137
Re: If m and n are consecutive positive integers, is m greater  [#permalink]

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16 Jan 2019, 14:34
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Re: If m and n are consecutive positive integers, is m greater   [#permalink] 16 Jan 2019, 14:34
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# If m and n are consecutive positive integers, is m greater

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