Gujarat

Following are some of the colleges:
1. Indian Institute Of Aeronautical Engineering & Technology
2. Gujarat Institute Of Aeronautical & Telecommunication Engineering
3. Gujarat Technological University - Ahmedabad, Gujarat
4. Ahmedabad Institute Of Aeronautical Engineering And Information Technology - Ahmedabad, Gujarat
5. Sardar Vallabhbhai Patel Institute of Technology (S.V.I.T.) - Valsad, Gujarat
6. Western India Institute Of Aeronautics - Ahmedabad, Gujarat
7. School of Aeronautics, Dwarka (Gujarat)

Hello Dear,
Its less predictable that you'll get admission into BAMS or BHMS courses at this score. However you can try. Do attend the counselling.
All the best.

You can refer the link: https://www.shiksha.com/design/fashion-design/colleges/colleges-gujarat

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!

You cannot do mechanical engineering degree after 10th. You are eligible for seeking admission in B.Tech after 10+2 with PCM subjects.

IRMA, IIM and NIRMA University.

Government Polytechnic Chhota Udepur
Swami Sachchidanand Polytechnic College, Visnagar
Himatnagar Polytechnic College
Government Polytechnic Gandhinagar
Government Polytechnic College
L.J. Polytechnic, Ahmedabad

It's a good university for doing management degree. As you can do MBA from that institute or you can also look for MS Patel Institute of Management.