SSAT Math Question 405: Answer and Explanation
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Question: 405
16. If p + q is divisible by 13, which of the following is also divisible by 13?
- A. (p × 3) + (q × 3)
- B.
- C. (p × 13) + q
- D. p + (q × 13)
Correct Answer: A
Explanation:
A
If p + q is divisible by 13, then (A) must also be divisible by 13 because you can factor out a 3: 3(p+ q). It must be the case that 3 times a number divisible by 13 is also divisible by 13.
Plug in numbers for p and q, ideally avoiding numbers that individually are divisible by 13. A good pair would be p = 6 and q = 7. Test these numbers in the answer choices to see which will be divisible by 13. Only choice (A) works.