2020 AMC 10 B
Complete problem set with solutions and individual problem pages
Problem 7 Easy
How many positive even multiples of less than are perfect squares? (2020 AMC 10B, Question #7)
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Answer:A
Any even multiple of is a multiple of , so we need to find multiples of that are perfect squares and less than . Any solution that we want will be in the form , where is a positive integer. The smallest possible value is at , and the largest is at (where the expression equals 1764 ). Therefore, there are a total of (A) 7 possible numbers.
