Correct option is A
· The phrase
"brushed her past" is incorrect. The correct phrase is
"brushed past her" as "brushed past" is a correct phrasal verb meaning
"to pass by someone quickly."
·
Correct sentence: "Mike quickly
brushed past her without any sort of salutation."
·
Rule: The correct structure is
"brush past + object."
Example :
She brushed past me in a hurry.
She brushed me past in a hurry. (Incorrect)