Hi, below are the government and public/government engineering colleges you can get with 10k rank in KEAM;

• College of Engineering, Chengannur
• Mahatma Gandhi University, Kottayam
• NSS College of Engineering, Palakkad
• Government Engineering College, Shreekrishnapur
• Government Engineering College, Thiruvananthapuram
• College of Engineering, Adoor
• Government College of Engineering, Kannur

Etc.

Thank You.