iran-konkur 2018 Q150

iran-konkur · Other · konkur-riazi_1397_specialized Number Theory Divisibility and Divisor Analysis
150- The five-digit number $N = \overline{a7\!4\!6b}$ is a multiple of 36. What is the largest remainder when $N$ is divided by 11?
(1) $1$ (2) $2$ (3) $3$ (4) $4$
\textbf{150-} The five-digit number $N = \overline{a7\!4\!6b}$ is a multiple of 36. What is the largest remainder when $N$ is divided by 11?

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(1) $1$ \hfill (2) $2$ \hfill (3) $3$ \hfill (4) $4$

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