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

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If m and n are consecutive positive integers, is m greater [#permalink] New post 19 Jan 2012, 10:09
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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.
[Reveal] Spoiler: OA
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Re: OG12 - Quant 2nd Ed - Qn 86 - Consecutive Postives? [#permalink] New post 19 Jan 2012, 10:16
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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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Re: If m and n are consecutive positive integers, is m greater [#permalink] New post 19 Jan 2012, 10:39
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Posting that question was truly a senior moment :) thanks.
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Re: If m and n are consecutive positive integers, is m greater [#permalink] New post 04 Oct 2013, 03:53
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Re: If m and n are consecutive positive integers, is m greater   [#permalink] 04 Oct 2013, 03:53
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