SSAT Math Question 338: Answer and Explanation

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Test Information

Question: 338

7. If the average of five consecutive whole numbers is 30, what is the smallest number?

  • A. 20
  • B. 25
  • C. 28
  • D. 30

Correct Answer: C

Explanation:

The answer is C

Let x represent the lowest number, and set up the average equation for the five tests: = 30. Combine like terms in the numerator, and multiply both sides by 5: 5x + 10 = 150. Subtract 10 from both sides, and divide both sides by 5: x = 28. As the question asks for the lowest number, the answer is 28.

The average of five consecutive numbers will be the median of the five numbers: draw five blanks for the five numbers, fill the middle spot with 30, and fill in the next two lower numbers with 29 and 28.

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