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Hello Keerthika,
To get admission IIT you first have to sit in the JEE Advanced, a another entrance exam.
Also If I talk about NIT below 10000 rank students can get maximum opportunity from NIT. But also 16000 rank can get opportunity in civil engg. Also you need 75% marks in HS (10+2).
Please go through the links for more details:
https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
As per the previous year cutoff the chances are very less to get a seat in NITs, IITs or GFTIs however you can try for the state level counseling like
1) ICT Mumbai - Institute of Chemical Technology
2) NSIT - Netaji Subhas University of Technology
3) DTU - Delhi Technological University (DCE)
4) IIIT Delhi - Indraprastha Institute of Information Technology
5) Chandigarh College of Engineering and Technology
You can use JEE Main college Predictor tool.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answ er
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