**Core Concept**
Mobius syndrome is a rare neurological disorder characterized by facial paralysis and impaired eye movements, resulting from congenital or acquired damage to the cranial nerve nuclei or their connections. The condition often involves the sixth (abducens) and seventh (facial) cranial nerves, leading to impaired lateral eye movements and facial expressions.

**Why the Correct Answer is Right**
The characteristic features of Mobius syndrome include impaired lateral eye movements due to damage to the abducens nerve (cranial nerve VI) and facial paralysis due to damage to the facial nerve (cranial nerve VII). The sixth cranial nerve controls the lateral rectus muscle, responsible for outward gaze, while the seventh cranial nerve controls the muscles of facial expression.

**Why Each Wrong Option is Incorrect**
**Option A:** The third (oculomotor) cranial nerve is not typically involved in Mobius syndrome, as it controls medial eye movements, pupillary constriction, and accommodation. Damage to this nerve would result in different symptoms, such as ptosis and pupillary dilation.
**Option B:** The fifth (trigeminal) cranial nerve is a branchial nerve that carries sensory information from the face and motor signals to the muscles of mastication. While it is involved in facial sensation and motor function, it is not a classic part of Mobius syndrome.
**Option C:** The seventh (facial) cranial nerve is a key component of Mobius syndrome, as it controls the muscles of facial expression and is often damaged in this condition.

**Clinical Pearl / High-Yield Fact**
Mobius syndrome is often associated with other congenital anomalies, such as esophageal atresia, heart defects, and spinal cord abnormalities. A high index of suspicion is required to diagnose this condition, as the clinical presentation may be subtle.

**Correct Answer:** A.