Why do you like playing badminton?

1. Because I want to be healthy.
2. I want to stay healthy.
3. To remain healthy.
(Are all the answers grammatical?)

4. I want to be healthy.
5. I want to stay healthy.
6. I want to remain healthy.
7. I want to keep healthy.
(Which expressions are correct and commonly used?)

All the answers are fine, but I have never heard anyone use the phrasing in 7.

PS -- Don't people play badminton for fun?
=)

All the answers are grammatical, but in terms of which expressions are correct and commonly used, answers 1, 2, and 3 are grammatically correct but may sound slightly less commonly used or formal in some contexts, while answers 4, 5, 6, and 7 are more commonly used in everyday conversation.

The expressions "I want to be healthy" and "I want to stay healthy" are both correct and commonly used. They convey the same meaning, indicating the desire to attain or maintain good health.

The expressions "I want to remain healthy" and "I want to keep healthy" are also correct but may be slightly less common in everyday conversation. They both convey the idea of continuing to have good health.

Overall, the choice of expression depends on personal preference and the specific context in which it is being used.