Yes you can get a government college..
Here below there is a link provided to you of carreer 360. Here you can check the eligibility of you in a government college
https://engineering.careers360.com/articles/nata-eligibility-criteria
Hope this will help you
Better luck!!
Application | Eligibility | Exam Pattern | Admit Card | Answer Key | Result | Cutoff | Accepting Colleges
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile