# SAT Math Multiple Choice Practice Question 496: Answer and Explanation

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**Question: 496**

**16.** If *a* = 4*b* + 26, and *b* is a positive integer, then *a* could be divisible by all of the following EXCEPT

A. 2

B. 4

C. 5

D. 6

E. 7

**Correct Answer:** B

**Explanation:**

**B** To find out what numbers *a* could be divisible by, you need to try different values of *b*. If *b* = 1, then *a* = 4(1) + 26 = 30. In this case, *a* is divisible by 2, 5, and 6, so you can cross out A, C, and D. If *b* = 4, then *a* = 42, which is divisible by 7, so cross out E. That leaves only B, which must be the answer.