DOES SOMEONE HAVE A GENERAL PROCEDURE TO SOLVE THIS AWFUL QUESTIONS?
is the positive integer n a multiple of 24?
1) n is a multiple of 4
2) n is a multiple of 6
i had the method of seing if the number in the question (24) has common prime factors with the multiples of n. in this case : 24= 2^3 * 3
4= 2*2 INSUFF
6= 3*2 SUFF
BUT IN THIS CASE THIS METHOD HAS FAILED ME
. OA= E
Unfortunately I brought this question back from the dead (last update 2007!) because I am missing something fundamental here.
I selected that both answer choices were sufficient because each answer choice provided a NO answer AND did not provide a YES answer.
1.) n is a multiple of 4 SUFFICIENT bc there are no 3s in the prime box
2.) n is a multiple of 6 SUFFICIENT bc there is not enough 2s in the prime box
Even if both are INSUFFICIENT, C would also work because we know that there are not enough factors in n
's prime box...
Is there an assumption I'm missing? Someone please, put me to shame!
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