$\textbf{Six Glasses}$
There are six identical glasses of which three are empty and three contain water. They are currently lined up in an alternating fashion, i.e. the $1^{st}$, $3^{rd}$ and $5^{th}$ are empty, and the others are full. Is it possible to move just one glass so that the three glasses containing water are next to each other without any empty one in between?