[tex]\displaystyle\sf\\a)~\overline{5x}~\vdots~2 \implies x\in\left\{0,2,4,6,8\right\}.\\b)~\overline{20x}=\mathcal{M}_3 \Leftrightarrow 2+x=\mathcal{M}_3 \implies x\in\left\{1,4,7\right\},~x=cifra.\\c)~5| \overline{47x} \implies x\in\left\{0,5\right\}.\\d)~\overline{47x}=\mathcal{M}_3 \implies 4+7+x=11+x=\mathcal{M}_3 \implies~x\in\left\{1,4,7\right\},~x=cifra.\\e)~10| \overline{89x} \implies x=0.[/tex]
