Hello Dear,

Yes the chances of getting seats in IIIT and NIT is fair enough but not on your desired branch. But as the cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors.Your rank will be  around 22,000. For this rank vs marks vs percentile you can refer to our page for which link is provided below:-

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

You can take help from our predictor link to get information about the college for accurate prediction of college:

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

Good Luck