Final answer:
The facial nerve (CN VII) is the nerve among the options that contains parasympathetic fibers, controlling functions like taste and salivation.
Step-by-step explanation:
The nerve that has parasympathetic fibers among the options provided is the facial nerve, also known as CN VII. The facial nerve is responsible for a range of functions including facial expressions, taste sensation in the anterior two-thirds of the tongue, and it also carries preganglionic parasympathetic fibers to the lacrimal and salivary glands. Therefore, the correct answer to the question is B) facial.