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Cosidering your OBC rank to 52495 or if convert it into CRL would be over 1lac.
So with this rank you cannot hope to get any seat in the renowned NIT.
So the best possible options I would recommend you to do is:
1. Prepare well for state exams like WBJEE, UPTU and GGSIPU. Trust me, some state colleges (which these exams offer) are far better than bottom 15 NITs
2. Prepare well for BITSAT for a month. With rigrous study for a month you can expect to have a score 300+. From this you can easily expect a seat from BITS GOA which is better than any of NIT (leaving top 5)
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