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Hi Madan,
As per the previous year cutoffs of JEE Mains for admissions NIT's, at 65000 rank it is quite impossible even to get admission in any of the NITs. Yes, you may get some lower cutoff branches like Metallurgical and Materials Engineering, Food Processing Engineering, Biomedical Engineering, Biotechnology Engineering at lower cutoff NITs like NIT Mizoram, NIT Arunachal Pradesh etc.
You may get admission in state level colleges or private colleges for good branch also.
Refer here for more info - https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits
To know your other best admission possibilities of Institutes & branches in JOSSA & State counseling as per your percentile, You can use JEE Main College Predictor tool given below
B.Tech/B.Arch Admissions OPEN
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Feel free to ask doubts in the Comment Section.
I hope this information helps you.
Good Luck!
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