Hello,

Congratulations for your rank. 

There are many entrance exams for Engineering admission at National and State level. If you won't mention the exam then it will be very difficult for me to provide proper guidance. You have also not mentioned your category, the cutoff of various exams and colleges depends on number of factors. If you match the criteria of the exam and college, then you will definitely get the government college.

For more information, you can try the career360 college predictor:
http://www.careers360.com/college-predictor
Good Luck.