SAT Math Multiple Choice Practice Question 36: Answer and Explanation

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Question: 36

14. The number g is divisible by 3, but not by 9. Which of the following is a possible remainder when 7g is divided by 9?

A. 0
B. 2
C. 4
D. 6
E. 8

Correct Answer: D

Explanation:

D. Possible numbers for g are numbers like 3, 6, 12, 15, 21, and so on. If you try multiplying these numbers by 7 and then dividing by 9, you discover that the remainder is always 3 or 6. Because 3 isn't one of your choices, 6 is the right answer.

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