Hello Aspirant, considering your percentile, rank and category , your rank is very appropriate and good to take and apply for NIT and IIIT. Also, you could definitely get admission into other government colleges as well.

Use our college predictor link given below to view the preferred college available for you,

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

See the previous years cutoff trends of various NITs and IIITs given below to see the preferred college available for you

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

Good luck