SAT Math Multiple Choice Practice Question 94: Answer and Explanation

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Question: 94

6. If p is divisible by 12, and q is divisible by 20, then p + q must be divisible by




A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

Correct Answer: D


D. The easiest approach to this question is to pick numbers. Remember: When you take this approach, don't pick numbers that are too simple. Here, for example, you shouldn't pick 12 and 20 themselves, nor should you just multiply each one by the same number. Instead, try doubling 12 to get 24 and tripling 20 to get 60. If you add them together, you get 84, which is divisible by 2 and 4, but not 32. This result makes sense because both 12 and 20 are divisible by 4. Therefore, you can expect your answer to be divisible by 4, too (and, thus, also by 2).

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