Here is the list of the colleges in which you can enroll yourself as your rank will most probably be in between 7000-10000;

• College of Engineering, Trivandrum
• Federal Institute of Science and Technology, Ernakulam
• Hindustan College of Engineering, Kollam
• Government Engineering College, Thrissur
• Sree Chitra Thirunal College of Engineering, Thiruvananthapuram
• Mar Athanasius College of Engineering, Kothama galam
• College of Engineering Thalassery, Kannur
• Rajagiri School of Engineering and Technology, Kochi

Etc.

Thank You.