Coarse means rude or rough. Thus the word that is best associated with the word coarse is B. Roughness. Roughness is somehow similar to coarse, it shows cruelty or rudeness in some actions or words. Other term that can be used to describe it is being impolite.
I got hit with a baseball right in the back of the skull, I saw two of everything for a week and I still had to carry a block of ice home every afternoon.