The correct answer is does.
The sentence should be: "How often does he take the bus?"
This is because "does" is used with the third-person singular (he, she, it) in present simple questions.
اذا كان لديك إجابة افضل او هناك خطأ في الإجابة علي سؤال How often ………… he take the bus (1 نقطة) is does اترك تعليق فورآ.