Hi,
You cannot get direct government job just by doing a bachelor's in science. You can only get into private sectors by this course. Apart from this, to get government jobs after graduation, there are many entrance examination. But, before that you need to decide in which area you actually want to work. For banking there is IBPS PO, also there is IBPS Clerk, same way there are entrance exams for Railways etc. Coming to defence , there are examinations like AFCAT, CDS and you can sit for civil services examination which will fetch you in government jobs.
As you have not specified the course in which you want to pursue M.sc, the following link will provide you the information regarding best M.sc colleges along with the courses offered:
https://bschool.careers360.com/colleges/list-of-msc-colleges-in-india
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