iran-konkur 2020 Q149

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Number Theory Combinatorial Number Theory and Counting
149 -- How many natural multiples of 9 exist such that when divided by 430, the remainder equals the integer part of the quotient?
  • [(1)] $4$
  • [(2)] $5$
  • [(3)] $6$
  • [(4)] $7$
\textbf{149 --} How many natural multiples of 9 exist such that when divided by 430, the remainder equals the integer part of the quotient?

\begin{itemize}
\item[(1)] $4$
\item[(2)] $5$
\item[(3)] $6$
\item[(4)] $7$
\end{itemize}