Hey aspirant,
As you haven't mentioned your CRL rank and hoemstate so I'm unable to predict appropriate colleges for you. But on the basis of your Category rank you may have few chances of getting seats into some of NITS, IIITS, GFTIS but you may have to compromise with your desired branch. Like-you can get,
1) NIT UTTARAKHAND -CIVIL ENGINEERING
2) NIT JAMSHEDPUR-CIVIL ENGINEERING
3) NIT SIKKIM-CIVIL ENGINEERING, ELECTRICAL AND ELECTRONICS ENGINEERING
For cutoffs of more NITS colleges you can refer to the link mentioned below-
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp
To check the cutoffs for IIITS you can use the mentioned link below-
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits/amp
Also to check which colleges you may get into you can use the predictor tool as it will help you to know better-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope it helps.
Good luck.
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