The Glasgow Coma Scale is computed by adding three separately graded responses, so the trick is to map each clinical phrase in the stem to its correct point value. The eye component is graded from 1 to 4; since the patient opens his eyes only when a painful stimulus is applied, this scores 2. The verbal component is graded from 1 to 5; the description of inappropriate words, meaning recognisable words used out of context, scores 3. The motor component is graded from 1 to 6; the patient who localises pain, meaning he moves his hand purposefully toward the painful stimulus, scores 5. Summing these graded values gives $2 + 3 + 5 = 10$. The maximum possible is 15 and the minimum is 3, so a score of 10 places this patient in the moderate head-injury range. This matches option A.
\[\boxed{\text{GCS} = 10}\]