Hello Aspirant,

As per your rank you will not going to get the nit or iits, for getting nit the rank will be below than 15K . It is difficult for you to get any branch in nit.

Don't worry careers360 provides you the College predictor tool , this will going to help you to find the college:

here is the link:

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this will help you!!