Yes you can apply for Various Government Job Exams after Passing bachelor of dental surgery course . here I am giving you name of some best government job exam after passing BDS course .

Government job exams :
Army Dental Corps
Territorial Officer in Indian Army
Joining Indian Navy & Airforce as contractual dental officer
IAS,
IFS,
IPS,
IRS
State Govt. Jobs as dental surgeons
Joining Indian Railway as a Dentist
Applying for jobs in Central Govt. Institutes like AIIMS , forensic labs , agricultural sector.
SSC CGL exam
CDS exam

Bachelor of Dental Surgery Job Types
Consultant
Dental Assistant
Dental Hygienist
Dental Surgeon
Dental Lab Technician / Ceramist
Forensics
Oral Pathologist
Medical Representative / Sales Representative
Private Practitioners
Public Health Specialists
Professors

Bachelor of Dental Surgery Employment Areas
Dental Clinics
Dental Equipment Manufacturers
Dental Products Manufacturers
Educational Institutes
Pharmaceutical Companies
Private Practice
Research Institutes
Government hospital
Reputed dental colleges
Research and advisory departments
Industries manufacturing oral care products and medicines like toothpastes, mouth washes, gum paints etc.
Forensic department
Research on related subjects like Oral cancer

Hi Sir/Madam

I Sunitha S Biradar searching for a job especillay iam interested to work in government filed please any vacancies in government side for contract basis im ready to work mam and also if any vacancies please send to my above said mail address or else this is my contact no