Okay, let's tackle this question about the Glasgow Coma Scale (GCS). The user wants to know the maximum and minimum scores. First, I need to recall the core concept. GCS assesses a person's level of consciousness based on eye opening, verbal response, and motor response. Each component has a point range.

The maximum score would be when all three components are at their highest. Eye opening: 4 (spontaneous), verbal: 5 (oriented), motor: 6 (normal). So 4+5+6=15. The minimum is when all are at their lowest: eye opening 1 (no response), verbal 1 (none), motor 1 (no movement). Total 3.

Now, checking the options. The correct answer is 15 and 3. The options might have other numbers. For example, someone might confuse it with other scales like the AVPU scale (Alert, Verbal, Pain, Unresponsive), which has different scoring. Another mistake could be adding the components incorrectly, maybe using 14 or 16 for max. Also, someone might think the minimum is 0, but GCS starts at 3.

Clinical pearl: Remember that GCS is used in trauma cases to assess severity. A score below 8 indicates severe head injury and possible intubation. Mnemonic: E4V5M6 for max, E1V1M1 for min.

So the correct answer is 15 and 3. The user's options are missing, but the correct choice should be the one stating max 15 and min 3.

**Core Concept**
The Glasgow Coma Scale (GCS) quantifies a patient’s level of consciousness post-trauma by assessing three domains: **eye opening**, **verbal response**, and **motor response**. Each domain has a predefined scoring range, with the total score ranging from 3 to 15.

**Why the Correct Answer is Right**
The **maximum GCS score is 15** (4 for spontaneous eye opening + 5 for oriented verbal response + 6 for normal motor function). The **minimum score is 3** (1 for no eye opening + 1 for no verbal response + 1 for no motor movement). This scale is critical for triaging trauma patients and guiding management decisions.

**Why Each Wrong Option is Incorrect**
**Option A:** Incorrect if it states 14 or 16—errors arise from miscalculating component ranges (e.g., assigning 5 to motor instead of 6).
**Option B:** Incorrect if it claims 12 as maximum—confuses GCS with the AVPU scale (Alert, Verbal, Pain, Unresponsive), which uses a different scoring system.
**Option C:** Incorrect if it suggests 4 as minimum—fails to account for the combined minimum of all three domains (1+1+1=3).

**Clinical Pearl / High-Yield Fact**
A GCS ≤8 indicates **severe traumatic brain injury** and often necessitates intubation. Remember **"E4V5M6"** for maximum scores and **"E1V1M1"** for minimums. Avoid confusing GCS with the Ranchos Los Amigos Scale, which assesses cognitive function differently.

**Correct Answer:

✓ Correct Answer: C. 15 & 3