Correct Answer:
C. Driving
The verb "mind" is typically followed by a gerund (the -ing form of a verb) when it means "to object to" or "to be bothered by." In this sentence, the speaker is offering to drive and asking if the other person would object to it. Therefore, the correct option is C: Driving.
- A: To drive (infinitive) and B: Drive (base form) are incorrect because "mind" does not take an infinitive or a bare infinitive in this context.
- D: Driven is the past participle and is grammatically incorrect here.