Hi

Your home state doesn't matter when it comes to IIIT are there is no home state quota in IIITs

With 96.965 percentile

• your rank will be around  31048 - 34902  per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

Your obc rank will be around 8500

I am extremely sorry to tell you but with above predicted rank you have a very low chance in IIIT lucknow

For example,

In 6th round of josaa counselling 2020, closing rank for gender-neutral for obc category was 5116 obc rank in IIIT Lucknow and it was for Information Technology (4 Years, Bachelor of Technology)

You can check the same at

https://josaa.nic.in/Result/Result/currentorcr.aspx

But yes,

You have chances in NITs, which are listed below along with closing rank in  6th round of josaa counselling 2020 under other state

• National Institute of Technology Agartala:- Electrical Engineering , 10653 obc rank

• National Institute of Technology Patna:- Mechanical Engineering (4 Years, Bachelor of Technology), 10157 obc rank

And a few more

Above prediction is on the basis of past year data but  cut off/closing rank for colleges keeps changing every year depending upon many factors like number of students that appeared in the examination, difficulty level of the JEE main question paper for different shifts etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

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

If you have any other doubt then you can always reach us to clear them :) we are always available to help you out and guide you

Thankyou