A set of five distinct positive integers has a mean of 10 and a median of 9. If the smallest integer is 3, what is the largest possible value for any integer in the set?

✓ Correct Answer: Option B

The sum of 5 integers with a mean of 10 is 50. Let the sorted set be {a, b, c, d, e}. We have a=3 and c=9. To maximize 'e', 'b' and 'd' must be minimized. Since distinct, positive, and sorted: b=4 (min for >a), d=10 (min for >c). So, 3+4+9+10+e = 50. 26+e=50. e=24.