AMC12 2023 A
AMC12 2023 A · Q3
AMC12 2023 A · Q3. It mainly tests Divisibility & factors, Perfect squares & cubes.
How many positive perfect squares less than $2023$ are divisible by $5$?
小于 $2023$ 的正完全平方数中，能被 $5$ 整除的有多少个？
(A)
8
8
(B)
9
9
(C)
10
10
(D)
11
11
(E)
12
12
Answer
Correct choice: (A)
正确答案：（A）
Solution
Since $\left \lfloor{\sqrt{2023}}\right \rfloor = 44$, there are $\left \lfloor{\frac{44}{5}}\right \rfloor = \boxed{\textbf{(A) 8}}$ perfect squares less than 2023 that are divisible by 5.
由于 $\left \lfloor{\sqrt{2023}}\right \rfloor = 44$，小于 $2023$ 且能被 $5$ 整除的完全平方数有 $\left \lfloor{\frac{44}{5}}\right \rfloor = \boxed{\textbf{(A) 8}}$ 个。
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