What is the answer to this IQ test problem? Justify your reasoning.
My answer is
Pattern (on the left side):
Assume the dotted line is a path, and you need to follow it (we are look at the left of the puzzle right now). Then black dots do not affect your path. However when we reach a white dot we go around it, turning twice. Then we check to see if we are next to any other white dots, and if we are we go around that twice again. If not then we keep going straight. Furthermore, if we crash into a side of the box we turn, and the path never self-intersects. Last thing we notice is that the path must visit all the places which are corners of the dots
Reasoning for the right side:
We can get this:
Now if the top right dot is white then the paths must intersect before reaching the bottom. Thus it is black.
We can get this next. Note that the top left has to be black. If the bottom left is white then again they join too early, thus it is black. Lastly the bottom right must be white because if it isn't then the paths don't join.