A set of 5 distinct positive integers has a mean of 10 and a median of 9. What is the largest possible integer in the set?

✓ Correct Answer: Option B

The sum of 5 integers is 5 * 10 = 50. Let the sorted integers be a, b, 9, d, e. To maximize 'e', minimize a, b, and d. As distinct positive integers, a≥1, b≥2, d≥10. Thus, 1+2+9+10+e = 50, which means e=28.