Hey there,

You may get the MIT Muzaffarpur but with a lower branch like civil or chemical engineering there. I will tell you that you should look for private colleges also because in case you're unable to get the college then you should hold a backup option with yourself. Some of the colleges that you should look for are :

Upes Dehradun

Amity University

Lpu University

Chandigarh University etc.

I hope you have got the point.

Good luck ahead !