Dear Aspirant, at your percentile your rank might be above 90K+. Even if you belong to the home state, last year's closing rank in Home State Category is around 40K. So it is difficult to get in NIT Surathkal at the given percentile. You can try for lower ranked NITS as there are slim chances for them. Or you can go for BITSAT, VITEEE, SRMJEE, etc. For more details, you can check here:-https://engineering.careers360.com/articles/jee-main-cutoff

Hello aspirant .

As your score in the Jee mains examination is 86.22 percentile and You haven't mentioned your category of eligibility. For general category cutoff percentile is 89.75 , for OBC category cutoff is 74.31 percentile, for SC category cutoff is 54.01 percentile and st category cutoff is 44.33 percentile.

If you have qualified jee mains , you are eligible to write JEE advanced.

To get information on college that you would get refer 

https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor

All the best.