Hello,

If your percentile in JEE main is 40.22 then it is expected that your overall rank will be around 611549 - 687470

With this rank, if you are a general category candidate then it will be very difficult for you to get admission even in private colleges through the counselling procedure. But, you can get admission in private engineering colleges through direct admission.

To know your best admission possibilities in engineering colleges check the link below

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

Good luck!