India

You must face slight problem in choosing right college for you.
If you want to do engineering then you are not eligible for JEE Mains, so further in different field same problem will appear for you.
So, minimum of 60 is required.
I hope, it will help.

Kindly let us know your state CET 2017 rank for medical, Veterinary if you have given it. That will approximately decide your state NEET rank.
Also, please note that 4th rank holder is from Karnataka.

Dear Pradhyumn,
All the top colleges have the best faculty on campus. Below mentioned are the colleges you can get into:
1. Indian Institute of Technology, Bombay (IITB)
2. Tata Institute of Fundamental Research, Mumbai (TIFR)
3. Indian Institute of Science, Bangalore (IISc)
4. Indian Institute of Technology, Delhi (IITD)
5. Indian Institute of Technology, Madras (IITM)
6. Indian Institute of Technology, Kharagpur (IIT Kharagpur)
7. Banaras Hindu University, Varanasi (BHU)
8. Indian Institute of Astrophysics, Kodaikanal & Bengaluru
9. University of Delhi (DU)
10. Institute of Mathematical Sciences, Chennai (IMC)

You cannot get a good college with that low CMAT score in Mumbai/Gujarat, as the cutoff of all decent colleges is 95+ percentile. And the colleges you might will be either average or below average. Better reappear for CMAT(or any other exam) and score well rather than taking admission into an average college. Good luck!

Please see: https://goo.gl/7yfkQQ

Goa University
Birla Institute of Technology and Science, Goa

1.Amardeep Singh Shergill Memorial College - ASSM
Mukandpur
Nawan Shehar, Punjab
2.Apex International College
Apex Technology Campus, Mohini Park, Opp. Khalsa College
Amritsar, Punjab
3.AS College
Samrala Road
Khanna, Punjab
4.Babbar Akali Memorial Khalsa College - BAM
Garhshankar
Hoshiarpur, Punjab