If \(k, m,\) and \(t\) are positive integers and \(\dfrac{k}6 + \dfrac{m}4 = \dfrac{t}{12},\) do \(t\) and \(12\) have a common factor greater than \(1?\)
(1) \(k\) is a multiple of \(3.\)
(2) \(m\) is a multiple of \(3.\)
Answer: A
Source: Official Guide