Dear aspirant,

As you have mentioned your obc rank which is 3496 , so I would request you to kindly mention in the comment box so that I can guide you in a more detailed and organised manner.

As per my knowledge , it is difficult for you to get non core branches in top colleges like institute of engineering and management,heritage institute of technology,haldia institute of technology.

You can try for techno India colleges and future institute of technology.

For more information you can check out the link given below-

https://engineering.careers360.com/articles/wbjee-cutoff