This one is tricky. One way to solve this problem is number crunching but you have to be careful. The crux of this question is the princple that For any set of consecutive integers with an **odd number of terms**, the sum of the integers is **always** a multiple of the number of terms. For example, the sum of 1, 2, and 3 (three consecutives -- an odd number) is 6, which is a multiple of 3. For any set of consecutive integers with an **even number of terms**, the sum of the integers is **never** a multiple of the number of terms. For example, the sum of 1, 2, 3, and 4 (four consecutives -- an even number) is 10, which is not a multiple of 4.

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