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

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Source: — Data Sufficiency |
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by swerve » Thu Aug 08, 2019 11:49 am

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\(m\) and \(n\) are consecutive \(\Rightarrow\, m = n+1\) and \(n=m+1\)
Is \(m > n\)?

1) \(m-1\) and \(n+1\) are consecutive

If \(m=4\), \(n\) can be 3 or 5

\(m-1 =4-1=3\)
\(n+1= 3+1=4\) or \(n+1 = 5+1= 6\)

\(m > n\) Sufficient \(\color{green}{\checkmark}\)

2) If \(m\) is even
and we know \(m\) and \(n\) are consecutive integers \(n\) will be odd

\(m=2\)
\(n\) can be 1 or 3
No Sufficient \(\Large{\color{red}\times}\)

Therefore, __A__
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