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Find the number of positive integers with three not necessarily distinct digits, $ABC$, with $a≠0$ and $c≠0$ such that both $ABC$ and $CBA$ are multiples of $4$.
$Source: AIME$ $2012$
Number Theory
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Find the number of positive integers with three not necessarily distinct digits, $ABC$, with $a≠0$ and $c≠0$ such that both $ABC$ and $CBA$ are multiples of $4$.
$Source: AIME$ $2012$