Hello Aspirant,

It would be difficult to provide you the exact information related admission possibilities. As per the previous year cutoff,  You might have the chance to get-

National Institute of Technology Tiruchirappalli, National Institute of Technology Karnataka Surathkal, National Institute of Technology Warangal, National Institute of Technology Rourkela, Motilal Nehru National Institute of Technology Allahabad Prayagraj Etc. but it is difficult to get the core branches.

To know the admission possibilities & branches, You can use JEE Main College Predictor tool given below.

https://engineering.careers360.com/jee-main-college-predictor

Good Luck!