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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
(1) \(k > m\)
(2) \(\dfrac{k}{m}\) is an even integer.
Answer: B
Source: Official Guide
