**Core Concept**
The question tests the understanding of cranial nerve nuclei and their corresponding muscle functions, specifically the **abducens nucleus (CN VI)** and **oculomotor nucleus (CN III)**, which control eye movements.

**Why the Correct Answer is Right**
Since the correct answer is not provided, let's discuss the general concept. Weakness of both adduction (medial rectus, controlled by **CN III**) and abduction (lateral rectus, controlled by **CN VI**) suggests a lesion affecting both nerves or their nuclei. This could occur due to a **brainstem lesion** or conditions affecting multiple cranial nerves.

**Why Each Wrong Option is Incorrect**
**Option A:** Without the specific option, we cannot comment on its accuracy.
**Option B:** Similarly, without the option, we cannot assess its correctness.
**Option C:** This option's validity cannot be determined without its content.
**Option D:** The same applies, as the option's details are missing.

**Clinical Pearl / High-Yield Fact**
A key point to remember is that lesions affecting **CN III** and **CN VI** can lead to **diplopia** (double vision) and **ophthalmoplegia** (weakness or paralysis of extraocular muscles), which are critical clinical findings in neurologic examinations.

**Correct Answer:** Not provided in the query.