The correct form is "does he know." "Does he knows" is not correct.
In English, when using the auxiliary verb "do" in questions or negative statements with third-person singular subjects (he, she, it), the main verb remains in its base form (infinitive form) without the "s" ending.
Examples:
- Correct: Does he know the answer?
- Incorrect: Does he knows the answer?
- Correct: She does not know the way.
- Incorrect: She does not knows the way.
Example sentences
- Does he know how to play the guitar?
- Does she know where the nearest post office is?
- Does he know that you're coming to the party?
- Does she know the secret code to unlock the safe?
- Does he know the answer to the math problem?
- Does she know about the surprise birthday celebration?
- Does he know how much effort you put into this project?
- Does she know the reason behind the sudden change in plans?
- Does he know the way to the museum from here?
- Does she know why his car won't start?
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Reference:
https://learnenglish.britishcouncil.org/grammar/english-grammar-reference/present-simple?page=3