Hello. 

After completing the BAMS course, one can pursue his/her career in government hospitals, dispensaries, ayurveda hospitals, teaching jobs, etc. The Bachelor of Ayurvedic Medicine & Surgery (BAMS) is offered by many public and private colleges and institutes in India. The duration of BAMS is 5½ years to 6½ years including internship. 

BDS - 450+ for Govt Colleges and 400+ for Private Colleges

BAMS - 440+ for Government colleges 400+ for Semi Government and 350+ for Private

BHMS - 300+ should suffice because there are only private colleges.

However usually the cutoff goes something like

 1) Government - Cutoff of GOVERNMENT COLLEGES range in 420+ for General Candidates and 400+ for OBC.Fees is lowest in range of 20000

2) Semi - Government - Cutoff for this type of Colleges are somewhat lower and fees is higher than government in range of 40–50000. Its Cutoff is 400+ for General Candidate and 360+ for OBC.

3) Private - Now this is the most variable type of cutoff. As Colleges with low fee tend to have higher Cutoff and high fee college has low cutoff. Fees is in range of 1–3 lakh per year. Cutoff is in range of 300+ for General and 280+ for OBC.

but this is just an estimate as  these things vary every year based on the difficulty of paper etc

All the best.