Question 81
Victoria paints every positive integer either pink or blue. Is it possible that both conditions below are satisfied?
- For every positive integer $n$, the numbers $n$ and $n+5$ are different colors.
- For every positive integer $n$, the numbers $n$ and $2 n$ are different colors.
- For every positive integer $n$, the numbers $n$ and $n+5$ are different colors.
- For every positive integer $n$, the numbers $n$ and $2 n$ are different colors.