Explanation:

Let’s break it down:

- Option 1: "Did you like some more soup?"

This doesn’t work. "Did you like" is past tense. It’s used to ask about something that happened already, not to offer more.

- Option 2: "Would you like some more soup?"

This is the right fit. It’s a polite way to offer something. This is what you’d actually say at the dinner table.

- Option 3: "You will like some more soup?"

Sounds odd. It predicts the other person’s feelings. Not how we offer food.

- Option 4: "You want to like some more soup?"

This doesn’t make sense; it’s awkward and not correct English.

So yeah, Option 2 is definitely the one you want here.