Yes, you can get IIT core branches in some IITs.

You can refer this link https://engineering.careers360.com/articles/gate-cutoff  

You can analysis from previous opening and closing of IITs which branch suits according to your marks/rank. Choose wisely and you can also get the core branch in NITs.

Hey Shubham.

See the marks u have scored might give u a chance to get admissioned in the some of the NITs for pursuing ur higher studies in the field of ur interest. But it is not enough for u to get top notch colleges. U can also apply for other state college and private institutions for ur MTECH career.

I m providing u a link for ur help. Hope it might help u.

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/gate-college-predictor&ved=2ahUKEwjtgsq38ovhAhWDiXAKHSqhDr8QjBAwAnoECAgQCg&usg=AOvVaw1xiFTORDwDEpBZmadY5ZwG

Ask if any query. Good luck