iran-konkur 2019 Q142

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Number Theory Modular Arithmetic Computation
142. If a number leaves remainders 6 and 11 when divided by 5 and 7 respectively, then when divided by 66, what is the remainder?
(1) $29$ (2) $32$ (3) $40$ (4) $41$
\textbf{142.} If a number leaves remainders 6 and 11 when divided by 5 and 7 respectively, then when divided by 66, what is the remainder?

(1) $29$ \hfill (2) $32$ \hfill (3) $40$ \hfill (4) $41$

\medskip