The correct option is C buying
Let’s examine the sentence: “Are you interested in _______ a watch?” The sentence states an action that is to be considered and it is being stated as a question. As the sentence talks about the state of action that is open for consideration, it is not of past tense. This rules out usage of Option A as it contains verb of past tense, ‘bought.’ The sentence also does not require a verb showing an action happening in present. This rules out usage of Option B as it contains verb of present tense, ‘buy.’ Option D is also ruled out the sentence already has ‘in’ that cannot be immediately succeeded by another preposition ‘to’ given here. The sentence needs a word indicating the state or condition of action and so it requires a noun or a gerund. The gerund always has the same function as a noun (although it looks like a verb). The gerund ends in ‘ing.’ As Option C fulfils this requirement, so it is the correct answer.