Hi Bhanu,

At this rank, you won't get core branch in Old IITs. Though you might get core branch in newer IITs. Below is the list of colleges that would be best for you:

• IIT BHU ( Civil )
• IIT Kharagpur ( Mining )
• IIT Jodhpur ( Electrical )
• IIT Patna( Electrical )
• IIT Patna ( Mechanical )
• IIT Jodhpur ( Mechanical )
• IIT Hyderabad ( Civil)
  
  

I would suggest you to use college predictor so as to have  a better view of all the options availble to you.

https://engineering.careers360.com/jee-advanced-college-predictor?icn=JEE_Advanced_clgpd&ici=JEE_Advanced_article_contmap

All the best