Hello there,
Congratulations!!  Yes, your daughter can get into NITs and IIITs with this rank. You haven't mentioned your home state, and the branch you want to choose. Analysing the previous year data, your daughter has fair chances of getting into IIITs and NITs. Coming to the query about quota, you come under the home state quota only if you belong to that state, else you come under the other states.

You can check the cut-off ranks of all the NITs from the link given below:
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp

You can check the cut-off rank of all the IIITs from the link given below:
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

Also note that the cut-off rank changes every year depending on the difficulty of the paper, and the number of candidates appearing for it.

You can use our college predictor to predict the best college for your daughter:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this answer helps you.
Good luck!!

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