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Dear Aspirant,
Such a high rank in ST is the reason you didn't get any college in the JOSAA counseling process. This rank in All India is what needed for a general candidate to get into NITs so you will definitely not get into one.
I suggest you should either join a private college or prepare for JEE 2020. Try to bring your category rank under 10k to get into NITs or IIITs.
Hope this helps.
Thank you.
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