Question 25
A finite set $$M$$ of positive integers consists of distinct perfect squares and the number $$92$$. The average of the numbers in $$M$$ is $$85$$. If we remove $$92$$ from $$M$$, the average drops to $$84$$. If $$N^{2}$$ is the largest possible square in $$M$$, what is the value of $$N$$?
Correct Answer: 22
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