SAT/ACT problem of the week, October 27, 2016

The product and average (arithmetic mean) of five distinct nonnegative integers are 0 and 7, respectively. What is the maximum value of the largest number?

  1. 5 (check answer)
  2. 7 (check answer)
  3. 19 (check answer)
  4. 29 (check answer)
  5. 35 (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 2nd. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

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