Greetings!

Your rank will be somewhere close to 30k.

No, I'm sorry to inform that  getting a seat in a government college would be difficult. You can try getting into some private colleges.

The other colleges where you may find your desired courses are:

1. Saroj Institute of Technology and Management .

You may check this for further guidance: https://www.careers360.com/upsee-college-predictor

I hope this was helpful. Thank you!