He is a good cook.

(What does this sentence above mean? Which ones are similar to this sentence among the following?)

1. He can cook very well.
2. He cooks well.
3. He really cooks well.
4. He does cook well.
5. He cooks very well.
6. He does cook very well.
7. He is a professional cook (working in a restaurant).

All mean about the same thing, but 4 and 6 aren't used very often.

For #7, another word for a professional cook is a "chef."

The sentence "He is a good cook" means that the person mentioned has skills and ability in cooking, and is successful at it. They are proficient at preparing meals and it is likely that their cooking is enjoyable and tasty.

Among the given options, the following ones are similar in meaning to the sentence:

1. He can cook very well.
2. He cooks well.
3. He really cooks well.
4. He does cook well.
5. He cooks very well.
6. He does cook very well.

All of these sentences express the same idea that the person in question possesses good cooking skills. They differ slightly in terms of emphasis or use of auxiliary verbs, but the core meaning remains the same.

Option 7, "He is a professional cook (working in a restaurant)," is not exactly the same as the original sentence. While being a professional cook implies that the person is skillful, it specifically refers to a person who cooks for a living and as a profession, rather than simply indicating their ability to cook well.