Hello aspirant

With  96.86 percentile your a expected all India rank will be around 27,286.914

.As you are from OBC category, you will have good chance to get a seat in good college or University like in NIT colleges but for IIT colleges you will have to appear for jee advanced.

. But which branch you will get, it can't be predicted because it depends on cut off of Jee main score which depends on number of candidates appeared and qualified , difficulty level of exam, previous year's cut off etc.

2019 cut off for OBC NCL category was 74.3166557

So for College prediction , follow the link given below

https://engineering.careers360.com/jee-main-college-predictor