I got 11036 rank in sc category in JEE mains 2020 from jammu and kashmir which nit I get
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With this rank as per last few years cutoff trends, i cannot see chances of getting a seat in any of the NITs with this rank. And for IIITs also your rank is quite high. You can refer the links for last years cutoff.
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis
There are some chances of getting a seat in GFTIs if cutoff decrease this year, as your rank is closer to many closing ranks of GFTIs.
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis
I will suggest you to try for other state counselings. You can use college predictor tool to know about all possible colleges you might get in other state counselings.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
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