Final answer:
The Glasgow Coma Score (GCS) for a patient who is pulseless and apneic is 3, as this score indicates no response in eye, verbal, or motor criteria.
Step-by-step explanation:
The Glasgow Coma Score (GCS) is used to assess a patient's level of consciousness after a traumatic brain injury. It is based on three criteria: eye response, verbal response, and motor response. The lowest possible GCS score is 3, which indicates no eye, verbal, or motor response. As such, a patient who is pulseless and apneic would not respond to any of the three criteria and would therefore receive the lowest score possible on the GCS, which is 3.