Hi Sanjay,
13 is too low a score to secure a seat in a government reputed college. However, you may appear for other entrance exams and secure a seat in a reputed institution.
Other than JEE, you may choose to write the below mentioned entrances:
Students appear for different Engineering Entrance Exams like:
1. VITEEE
2. BITSAT
3. MU OET
4. SRMEEE
5. UPTU and many more at the state level and institute specific.
Students can choose from the different branches that are available for engineering. Every engineering branch has its own PROS. and it wont be right to judge any branch. However, if you want to know about the scope and prospects of various branch, you can refer to the below link
https://ask.shiksha.com/which-engineering-disciplines-are-most-popular-dscns-1826111-all-askHome-all-all-120-20 Students can either pursue BTech (Bachelor of Technology) / B.E (Bachelors of Engineering) or Bsc (Bachelors of science) For list of colleges, refer the link below:
https://www.shiksha.com/top-engineering-colleges-in-india-rankingpage-44-2-0-0-0With PCM combination of subjects, you can pursue almost any field you set your mind on. You can ofcourse do Engineering which is a professional degree and has streams such as Electrical, Mechanical, Electronic and Communication etc. You can do your graduation in subjects of your interest, even switching to Humanities or Commerce streams if you so desire. You can do a BCA (Computer Applications), BBA (Business Administration), Law, Civil Aviation – Pilot, Astronomy, Architecture, Design, Mass Communication, Merchant Navy, Defense Forces, Psychology, Civil Services etc. To decide on the course, you should analyse your strengths, career goals, interests, personality, aptitude and ability. If you decide based on these parameters you will put in your best effort and will be successful
Hope it helps. Please feel free to revert. Click on the thumbs up or mark it as the best, if you found this useful.
Wish You Luck!