I can’t remember him . . . . . . . . a single day off work. A. take B. taking C. took D. taken

The correct answer is (C).

The sentence is in the negative, so we need a past participle to complete the verb phrase. The past participle of “take” is “taken.”

The other options are incorrect because they are not past participles.

• (A) “take” is the infinitive form of the verb.
• (B) “taking” is the present participle form of the verb.
• (D) “taken” is the past participle form of the verb, but it is used as a noun in this sentence.

The sentence means that the speaker cannot remember a single time when the person in question took a day off work.