2023 AMC 12A Problem 3

A perfect square is divisible by $5$ only if its root is, so the squares are $(5k)^2=25k^2.$ Since $44^2=1936\lt 2023$ $\lt 2025=45^2,$ the root can be $5,10,\ldots,40,$ which is $k=1$ through $8.$ Thus, the correct answer is A.