iran-konkur 2014 Q150

iran-konkur · Other · konkur-riazi_1393 Number Theory Quadratic Diophantine Equations and Perfect Squares
150- Seven times a six-digit number $\overline{abcabc}$ is a perfect square. What is the largest value of the number $\overline{abc}$?
$$14 \ (1) \hspace{2cm} 15 \ (2) \hspace{2cm} 16 \ (3) \hspace{2cm} 17 \ (4)$$
\textbf{150-} Seven times a six-digit number $\overline{abcabc}$ is a perfect square. What is the largest value of the number $\overline{abc}$?

$$14 \ (1) \hspace{2cm} 15 \ (2) \hspace{2cm} 16 \ (3) \hspace{2cm} 17 \ (4)$$

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