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If k, m, and t are positive integers and k/6 + m/4 = t/12 , [#permalink]

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23 Feb 2005, 19:07

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If k, m, and t are positive integers and k/6 + m/4 = 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.

(1) 2k is a multiple of 3 (2*multiple of 3) but we know M is greater than 1. And thus 3M is also a multiple of 3. So we can tell that t does have more than one common factor.

Same with (2).

Should be (D). My bad.. didn't read the question properly

Although I solved it by substituition , takes lot longer.
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"Forums are meant to benefit all. No one is interested in knowing what your guesses are. Please explain the reasoning behind the answer you chose. This will also help you organize your thoughts quickly during the exam."

I) k is a mutilple of 3 and 3m is also a multiple of 3 thus 2k + 3m that is t is also a multiple of 3... suff
II) Doesn't give us anyhting common to derive.. insuff