Final answer:
The name that would be filed last is d. Larson.
Step-by-step explanation:
The name that would be filed last would be d. Larson. In English alphabetic order, names are generally sorted letter by letter, starting from the first letter.
In this case, when comparing the first letter 'L', since all the names start with 'L', we need to move on to the next letter. The second letter in the name 'Larson' is 'a', which comes after the letters 'a' and 'i' in the names 'Lamar' and 'Lai', respectively, but before the letter 'e' in the name 'Larsen'.
Therefore, 'Larson' would be filed last among the given options.