Hello there,
It is essential for the candidates to have qualified JEE Main 2020 and have their rank within 250000, including all the categories. The total number of candidates can rise only in case of a tie, that is, if candidates get same score or rank. So in your case, you are eligible to sit for JEE Advanced.
Also you can get many good colleges with your JEE Main rank. You can use our college predictor to predict the best college for you:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this answer helps you.
Good luck!!

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