SSAT Math Question 655: Answer and Explanation

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Question: 655

10. If e + f is divisible by 17, which of the following must also be divisible by 17 ?

  • A. (e × f) - 17
  • B. e + (f × 17)
  • C. (e × 17) + f
  • D. (e + f ) / 17

Correct Answer: E

Explanation:

There are variables in the answers, so Plug In here. If e + f = 17, then 17 is divisible by 17, so choose two numbers that add together to equal 17. For instance, 13 + 4 = 17, so let e = 13 and f = 4. Now, Plug In to the choices and see which one works. Eliminate (A) because (13 × 4) - 17 = 52 - 17 = 35, which is not divisible by 17. Similarly, eliminate (B) because 13 + (4 × 17) = 13 + (68) = 81, which is not divisible by 17 either. Choice (C) does not work because (13 × 17) + 4 = (221) + 4 = 225, which is not divisible by 17. Eliminate (D) because = = 1, which is not divisible by 17. Keep (E) because (13 × 3) + (4 × 3) = 39 + 12 = 51, which is divisible by 17. The correct answer is (E).

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