# SAT Math Multiple Choice Practice Question 301: Answer and Explanation

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**Question: 301**

**15.** If *a, b*, and *c* are consecutive positive integers such that and *abc* is NOT a multiple of 4, then which of the following must be true?

A. *a* is even

B. *b* is even

C. *c* is even

D. *a* + *b* + *c* is odd

E. *abc* is odd

**Correct Answer:** B

**Explanation:**

**B** The only way that *abc* would not be a multiple of 4 is if none of the three numbers is a multiple of 4 *and* no two of them are even (because the product of two evens is always a multiple of 4). One simple example is , , and . This example rules out choices (A), (C), (D), and (E).