SSAT Math Question 246: Answer and Explanation
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Question: 246
10. If x + y is a multiple of 11, which of the following must also be a multiple of 11?
- A. 11x + 11y
- B. xy + 11
- C. 11x + y
- D. x + 11y
Correct Answer: A
Explanation:
The answer is A
If x + y is divisible by 11, then choice (A) must also be divisible by 11 because you can factor out an 11: 11(x + y). It must be the case that 11 times a number divisible by 11 is also divisible by 11.
Plug in numbers for x and y, ideally avoiding numbers that individually are divisible by 11. A good pair would be x = 5 and y = 6. Test these numbers in the answer choices to see which will be divisible by 11. Only choice (A) works.