This paint will adhere . . . . . . . . any surface whether rough or smooth. A. by B. to C. of D. from

The correct answer is to.

The word “adhere” means to stick or hold fast to something. In this sentence, the paint is sticking or holding fast to any surface, whether rough or smooth. The preposition “to” is used to indicate the surface that the paint is sticking to.

The other options are incorrect because they do not make sense in the context of the sentence.

The preposition “by” is used to indicate the means by which something is done. The preposition “of” is used to indicate possession or association. The preposition “from” is used to indicate the source or origin of something.

In conclusion, the correct answer is to. The paint is sticking or holding fast to any surface, whether rough or smooth. The preposition “to” is used to indicate the surface that the paint is sticking to.