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Hello Dear,
Yes as per your percentile there is a great chance that you can get any Good Colleges on your rank. As the percentile mentioned by you the General AIR rank must be between 60147 - 48371 . Your category rank will be much less. There is a very fair chance that you can get NIT/Government college on your rank. specially of your home state where you can get your desired branch. But as you know 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. You can check the rank vs percentile vs marks below:
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
You can check our predictors link to know more about the college which you can get
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck
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