Well, it will be quite difficult for you to get into NITs with this rank. You should have mentioned your home state too. Following are the NITs you may get into if you have the home state quota.

1. NIT Meghalaya
2. NIT Manipur
3. NIT Mizoram
4. NIT Durgapur
5. NIT Arunachalpradesh
6. NIT Puducherry
7. NIT Nagaland

For complete details of previous years' cutoff visit this link : https://josaa.nic.in/webinfo/Page/Page?PageId=6&LangId=P

However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

All the best.

Hello,

As per your JEE Main percentile which is 7000+, to tell you about your admission possibilities would be tough but you might have a chance in some lower NITs. You'll have to compromise with the branch too since the cut-off for CSE, IT etc is really low. You should try for your home state NIT since you'll have a higher Chance of admission there.
To know more about NIT cutoff for previous years please refer to the links below

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

To know your admission chances in JOSSA & State counseling you can use JEE Main college Predictor tool.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

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