Answer:
3) more than his friend Victor does
Step-by-step explanation:
Here we need to distinguish between comparatives and superlatives. Comparative is when you're comparing two things, and we use words like "better", "worse", "greater", etc. Superlative is when you're comparing more than two things, and we would use words like "best", "worst", "greatest", etc.
In this scenario, we're comparing two things: Diego and something else. So, we need to use the comparative "more".
Let's look at each answer choice:
1) "more than anyone"
This makes it sound like Diego likes the action of cooking more than he likes other people, but the sentence is more likely talking about him liking the action of cooking more than someone else does. So eliminate this.
2) "more than his friend Victor"
Again, it sounds like Diego likes the action of cooking more than he likes his friend, so eliminate this.
3) "more than his friend Victor does"
Ah, now this is correct because it's comparing Diego's feelings toward cooking with Victor's feelings toward cooking. This is correct.
4) "more than any activity"
This doesn't work because there's no verb here; if it had said "more than doing any activity", it might work, but since it doesn't, it's wrong.
Thus the answer is 3.