For any positive integer \(x,\) the \(2\)-height of \(x\) is defined to be the greatest nonnegative integer \(n\) such

[Vincen]

For any positive integer \(x,\) the \(2\)-height of \(x\) is defined to be the greatest nonnegative integer \(n\) such that \(2^n\) is a factor of \(x.\) If \(k\) and \(m\) are positive integers, is the \(2\)-height of \(k\) greater than the \(2\)-height of \(m?\)

(1) \(k > m\)
(2) \(\dfrac{k}{m}\) is an even integer.

Answer: B

Source: Official Guide