hello aspirant,

With the above mentioned rank in OBC category, and according to the previous years JEE mains Cutoff, you have very difficult chances of getting Any good NIT's or IIIT's with this much rank, even if you have home state quota. Although you can get some Low-ranked NIT's like NIT Mizoram, NIT Sikkim, NIT Puducherry, only if you have the hoke state Quota, otherwise in All India Quota you have less chances of getting seat in NIT. The minimum required rank for getting Good NIT's must be around 16k-17k in jee mains.

But do not worry as you can get some other State Level engineering colleges with this rank and many private colleges as well.

To know more about the JEE mains Cutoff, you can follow the below mentioned link : https://engineering.careers360.com/articles/jee-main-cutoff

To know about your chances of admissions in other colleges, you can follow the below mentioned link to know more : https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

I hope that this will help.