SSAT Math Question 614: Answer and Explanation

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Question: 614

2. If Set M contains 4 positive integers whose average is 7, then what is the largest number that Set M could contain?

  • A. 6
  • B. 7
  • C. 18
  • D. 25

Correct Answer: D

Explanation:

Whenever a question mentions average, use an Average Pie to solve . Place 4 in the # of items portion, and 7 in the average place. Find the total by multiplying the two together: 4 × 7 = 28. Eliminate (E) right away because that is the total. The question asks for the largest number the set could contain, so start with the largest remaining number in the choices: 25. If 25 were the largest number in the set, the other numbers would be 1, 1, and 1. This is a possibility, since the problem does not say the numbers have to be distinct. Since this works, the correct answer is (D).

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