Bunuel wrote:
The product of 3 consecutive positive multiples of 4 must be divisible by each of the following EXCEPT:
(A) 16
(B) 36
(C) 48
(D) 128
(E) 192
We can use the 3 smallest positive multiples of 4, so we have:
4 x 8 x 12
Factoring the above, we have:
2^2 x 2^3 x 2^2 x 3 = 2^7 x 3
Since 36 = 3^2 x 2^2, and since the above product contains only one factor of 3, 36 is the answer.
Answer: B
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