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Hello Dear,
Yes It is a good score and chances of getting seats in good private college is fair enough. But as the cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors.Your rank will be around 115045 - 85657. For this rank vs marks vs percentile you can refer to our page for which link is provided below:-
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
You can take help from our predictor link to get information about the college for accurate prediction of college:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck
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