You do have Colleges offering Admission on basis of Management Quota or 12th Score, but then they will not be perfect as far as your career scope and prospects are concerned.

There are many Engineering Entrance Examinations apart from JEE. You must apply for the following Entrance Examinations besides JEE.

1. COMEDK

2. BITSAT

3. State Engineering Entrance Examination /State Counselling On Basis of JEE Score

4. MIT Manipal Entrance Test

5. VITEEE

For more information about Different Engineering Entrance Examinations do follow the link below

https://engineering.careers360.com/exams