Hey there,

According to al the information you have provided about your rank and NTA score, it will still be quite hard to say if you'll get your desired branch in your desired college. This is because the cut off trends tend to change each year and same is expected for this year. However, after seeing the past year cut offs it will be hard for you get into your desired college. But, you can still hope that you'll get a govt. college.

However, if you're interested in other colleges, you can use college predictor.

https://www.career360.com/compare-colleges

This link will provide all the possibilities of being in good college.

All the very best!