SSAT Math Question 86: Answer and Explanation
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Question: 86
11. The sum of five consecutive positive integers is 35. What is the square of the greatest of these integers?
- A. 5
- B. 9
- C. 25
- D. 81
Correct Answer: D
Explanation:
The correct answer is (D). Let the five consecutive integers be: x, x + 1, x + 2, x + 3, and x + 4.
Then x + x + 1 + x + 2 + x + 3 + x + 4 = 35; 5x + 10 = 35; 5x = 25; x = 5.
Since the least of the five integers is 5, the greatest is 5 + 4, or 9. 92 = 81.