Hello aspirant,

Government Funded Technical Institutions (GFTIs) colleges you won't get any government college because the closing rank is almost 150000.

but you can try there because cut off keeps changing every year....you may have chances

You can predict all types of colleges according to your JEE MAINS rank category and state through the following link....

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

This college predictor gives you a personalized prediction with top college in which you have chances for admission , with the help of predicted colleges you can make better choice while filling your choices of colleges during your counselling

Hope this helps

All the best for your Future !