If \(m, p\), and \(t\) are positive integers and \(m < p < t\), is the product \(mpt\) an even integer?
(1) \(t - p = p - m\)
(2) \(t - m = 16\)
[spoiler]OA=E[/spoiler]
Source: Official Guide
If \(m, p\), and \(t\) are positive integers and
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Statement 1VJesus12 wrote:If \(m, p\), and \(t\) are positive integers and \(m < p < t\), is the product \(mpt\) an even integer?
(1) \(t - p = p - m\)
(2) \(t - m = 16\)
[spoiler]OA=E[/spoiler]
Source: Official Guide
\(t - p = p - m\)
\(\Rightarrow p = \frac{m+t}{2}\)
\(\Rightarrow mpt = mt\cdot \frac{m+t}{2}\)
NOT SUFFICIENT as we don't know whether m and t are odd or even. \(\Large{\color{red}\chi}\)
Statement 2
\(t - m = 16\)
\(\Rightarrow t = m+ 16\)
\(mpt = mp(m+16)\)
NOT SUFFICIENT as we don't know whether m and p are odd or even. \(\Large{\color{red}\chi}\)
Both statements together we have
\(mpt = (m + 8) (m^2 + 16)\)
NOT SUFFICIENT as we don't know whether m is odd or even. \(\Large{\color{red}\chi}\)
Therefore, __E__