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Hello dear !
As you have mentioned your all India rank is 3209 and OBC rank is 1037 in nimce
So here we are providing the list of NITs having their nimcet cutoff in the range of your obtained rank
Name of NIT. SC. OBC. ST
NIT Agartala-. 4263 1711. Nill
NIT Allahabad-. 2381. 576. 4893
NIT Bhopal-. 3159. 834. 4892
NIT Raipur -. 4248. 1709. 4812
NIT Warangal-. 1222. 300. 2448
So as per your obtained OBC rank you can expect your admission in the above mentioned NITs
Hopefully we resolve your query, In case of any doubt you can get back to us
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