Difference between revisions of "2020 AMC 10A Problems/Problem 6"

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

Revision as of 22:17, 31 January 2020

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

See Also

2020 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
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All AMC 10 Problems and Solutions

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