2020 AMC 10A Problems/Problem 6

How many $4$ -digit positive integers (that is, integers between $1000$ and $9999$ , inclusive) having only even digits are divisible by $5?$

$\textbf{(A) } 80 \qquad \textbf{(B) } 100 \qquad \textbf{(C) } 125 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 500$

Solution

First, we need to note that the digits have to be even, but since only one even digit for the units digit ( $0$ ) we get $4\cdot5\cdot5\cdot1=\boxed{(B)100}$ . -middletonkids

2020 AMC 10A (Problems • Answer Key • Resources)
Preceded by Problem 5	Followed by Problem 7
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2020 AMC 10A Problems/Problem 6

Solution

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