SSAT Math Question 239: Answer and Explanation
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Question: 239
3. If x + y is divisible by 7, which of the following is also divisible by 7?
- A. xy + 7
- B. x + 7y
- C. 7x + y
- D. 2x + 2y
Correct Answer: D
Explanation:
The answer is D
If x + y is divisible by 7, then (D) must also be divisible by 7 because you can factor out a 2: 2(x + y). It must be the case that 2 times a number divisible by 7 is also divisible by 7.
Plug in numbers for x and y, ideally avoiding numbers that individually are divisible by 7. A good pair would be x = 3 and y = 4. Test these numbers in the answer choices to see which will be divisible by 7. Only choice (D) works.