Hi

With  96 percentile

• your rank will be around 40920 - 46000 as 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 ews rank will be around 6000.

With above rank, you have  chances  in following NITs, IITs. For example, you have chances in

• NIT Raipur  civil engineering :- for example, in 6th round of josaa counselling 2020,closing rank was 6527 ews rank

  Recommended

• IIITDM Kurnool, Andhra Pradesh:- B.Tech Mechanical Engineering Design and Manufacturing

• Indian Institute of Information Technology, Design & Manufacturing, Kancheepuram:- Mechanical Engineering (4 Years, Bachelor of Technology)

• Indian Institute of Information Technology(IIIT) Una, Himachal Pradesh:- Electronics and Communication Engineering (4 Years, Bachelor of Technology)

And a few more

For previous year cut offs of top colleges like NITs, IIITs , you can refer our page at :-

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

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

Or alternately you can visit official website of josaa at

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

Above prediction of colleges 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