Tom Kate Joe and Sam live I'n a row of houses with red blue pink an grey roofs. SAMs is blue Tom has one neighbor. And Joe has two. The red roof is two houses away from the blue. The grey roof is on the end of the block. SAMs only neighbor is an old maid. Who has the pink roof?

Since sam only has one neighbor, he lives on the end of the block. The grey house is on the other end of the block. Since the red house is two houses away from the blue witch is sam's, the only remaining house is pink. So the color of the houses starting with sam's is: blue, pink, red, and grey. So the pink house is sam's only neighbor, which is the old maid. Whether the old maid is kate or joe (could be a girl's name) is undeterminable.