hello jayasri!!

with 40000rank in obc category rank and with 87.7 percentile in jee mains, i am sorry to tell you that it would be very hard for you to get seat at BIT mesra.

however these are based on previous years cutoff and trends.lets hope the best happens to us.

There are many other colleges that you would be getting for your percentile :

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

All the best