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Hi aspirant,
You have obtained ST category rank of 390 and want to get CSE in top three NITs. See, at this rank it is quite difficult to get CSE in top three NITs according to previous year cutoff. But yes! If you have home state quota then you will get CSE only in NIT Trichy else it is quite difficult. You can predict your college and branch options based on this rank by using the JEE main college predictor tool by clicking on the following link: https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
You can also see the previous year of top NITs by visiting the following link:
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
Hope it helps you.
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