Do you like hamburger or do you like a hamburger ? Do you like orange or do you like an orange ? Which one of these above is correct ?
Do we have to use a / an/ the articles after "like" or not ?
The use of an article depends on context:
Since uncooked ground/chopped meat, AKA "hamburger", is uncountable, like water, but when used with the indefinite article, it changes meaning to (countable) cooked patties, the questions would be a bit different:
Sorry about any confusion engendered with countable vs. uncountable nouns. sigh