## Core Concept
The question tests knowledge of cranial nerve function, specifically the presence of **somatic efferents** (motor fibers that control skeletal muscles). Cranial nerves contain various types of fibers, including somatic efferents, which are responsible for controlling voluntary movements of skeletal muscles.

## Why the Correct Answer is Right
The cranial nerves that contain somatic efferents include the **oculomotor (III)**, **trochlear (IV)**, **abducens (VI)**, **spinal accessory (XI)**, and **hypoglossal (XII)** nerves. These nerves innervate the extraocular muscles, sternocleidomastoid and trapezius muscles, and the intrinsic and extrinsic muscles of the tongue, respectively. The **vagus nerve (X)**, on the other hand, primarily contains **visceral efferents** and **afferents**, as well as **parasympathetic** fibers, but not significant somatic efferents to skeletal muscles.

## Why Each Wrong Option is Incorrect
* **Option A:** The **oculomotor nerve (III)** contains somatic efferents that innervate several extraocular muscles.
* **Option B:** The **trochlear nerve (IV)** also carries somatic efferents to the superior oblique muscle of the eye.
* **Option C:** The **abducens nerve (VI)** contains somatic efferents that control the lateral rectus muscle.
* **Option D:** The **spinal accessory nerve (XI)**, while primarily known for its innervation of the sternocleidomastoid and trapezius muscles (which could be considered a special visceral efferent), does carry somatic efferents.

## Clinical Pearl / High-Yield Fact
A key point to remember is that the **vagus nerve (X)** is a **cranial nerve** that primarily deals with **parasympathetic** control of various visceral organs and does not significantly contain somatic efferents like the other options.

## Correct Answer Line
**Correct Answer: B. Vagus nerve.**