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Its all about products and processes! Production engineers are responsible for devising exactly how something is going to be made, what machines are going to make it and how it can be made as efficiently and as safely as possible. These products can be anything from newspapers and plastic bottles to tin cans and iPods.
Alternatively, you could even be working to facilitate the transfer of hydrocarbons from oil into the production process. As long as theres a production line and a process, youre likely to find a production
Scope of production in India engineer is huge. There are lot of openings in different countries. Experience is the base of all. Try to get more experience, then job offers and pay scale increases. A few fields where production engineer get placed are :
Automobile companies- For inspection, quality control, operation of automated equipments etc.
Manufacturing industries- For inspection, quality control, operation of automated equipments, to control assembly line, production management etc.
Food processing industries- For inspection, quality control, Production management etc.
Railways- Manufacturing processes and its control etc.
Process industries.
Space and other research organizations.
Government and private companies.
Defense.
IT companies.
Almost every year many Government Public Sectors recruits Production Engineers as Management Trainee or Executive Trainee. Some of the known Public Sectors are as follows:-
NTPC(National Thermal Power Corporation)
ONGC(Oil and Natural Gas Corporation)
SAIL(Steel Authority of India Limited.)
There are other manufacturing and production companies of Government who recruits frequently. Government vacancies are few but not nil at any time. Almost every PSU is recruiting through GATE followed by Group Discussion and Personal Interview.
Top Colleges are:Indian Institute of Technology, Delhi, Indian Institute of Technology, Kharagpur,Lovely Professional University Punjab, Birla Institute of Technology and Science, Indian Institute of Technology, Roorkee, Delhi Technological University, Anna University, Vellore Institute of Technology,National Institute of Technology, Calicut,Motilal Nehru National Institute of Technology, National Institute of Technology, Rourkela,R.V. College of Engineering, ,BMS College of Engineering, BMS College of Engineering, Ramaiah Institute of Technology, College of Engineering, Trivandrum, Mukesh Patel School of Technology Management and Engineering - Narsee Monjee Mumbai

This depends on your interests and skill sets. Engineering is a very good option. Electronics and communication, computer Science, telecommunication, instrumentation are some very popular courses. Alternately, you may want to do medicine too. Alternate to medicine will be nursing, physiotherapy, biotechnology. Another good course is Bachelor of Commerce; ICWA, CA qualifications which are excellent. On the arts front, there is Bachelors in media and journalism, psychology, humanities, languages to name a few. Hotel, hospital, travel and tourism, animation are options brimming with great prospects. Check your interests and then take an informed decision.

Yes after doing B.sc nursing you can go for MBA in hospital management. This course is comparatively new and have a lots of scope ahead. In terms of salary also you will get good salary after doing MBA in compare to B.sc nursing.
You should keep in mind that you should choose a good college to study as it is hard to find a good hospital for a job on your own and a college will definitely help you in this if you show some good sincerity in your college and get good marks.
There are very few college in India which are providing MBA in hospital management so i am giving you a list here.
Institute of Management Studies,
Indore
Indian Institute Of Pharmaceutical Marketing
Lucknow
Nizam Institute Of Medical Sciences
Hyderabad
School of Medical Education
Kerala
Apollo Institute of Hospital Administration
Hyderabad
Symboisis Center Of Health Care
Pune
Sree Balaji Medical College & Hospital
Chennai
Indian Institute Of Social Welfare and Management
Kolkata
Tata institute of social science
Mumbai
Hope it will help
Cheers!!