ISEE Mathematics Achievement Question 246: Answer and Explanation

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Question: 246

7. The sum of five consecutive positive integers is 30. What is the square of the largest of the five positive integers?

  • A. 25
  • B. 36
  • C. 49
  • D. 64

Correct Answer: D

Explanation:

D Use PITA to solve this question. Since the question asks for the square of the largest of the five consecutive integers, label the choices as such. Then, start with (C) to get rid of choices more effectively. If 49 were the square of the largest integer, the integer would be 7, and other consecutive integers would be 6, 5, 4, and 3. The sum of these numbers 3 + 4 + 5 + 6 + 7 = 25, which is less than 30. Therefore, eliminate (A), (B), and (C), since these are too small. Try (D): the square root of 64 is 8, and the other integers would therefore be 7, 6, 5, and 4. 4 + 5 + 6 + 7 + 8 = 30, so the correct answer is (D).

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