M.S

Hi Ishan, usually its of two years. You can check UK but the one year MS programs won't be recognized in India. You can check here for programs and duration. Once you finally find the country you can research on stay back options etc.
https://studyabroad.shiksha.com/poland/mba-colleges-dc

You will not face any problem in seeking admission for higher studies in Indian and foreign universities because Symbiosis University is a deemed university.

Both MS and M.Sc are Master of Science. However, both are entirely different. But, those who have completed the Bachelors in engineering or Masters in science and humanities can do the MS programme.
This is applicable worldwide.

Click on this link below. They have given a good description and comparison. After reading, you can easily decide.
https://studyabroad.shiksha.com/5-best-countries-to-study-ms-abroad-articlepage-372

Dear Sravya,
Always understand the term best will depend from person to person. Mechanical, automotive, computer science, business management, etc. are some of the top choices for students. USA is a vast country, job scene differs from coast to coast. It is best if you know your career plans, where you want to settle and check relevant information.

Cost of doing B.Tech and MS from USA is very high and Return on Investment (ROI) will be very low and poor. With USA work visa regime becoming tougher, you may not able to work in USA and earn in dollars to repay any loan. Therefore, I will like to advise you to do B.Tech from a good engineering college in India and then MS in USA.

If you have already done post graduation (M.Tech) in Aeronautical Engineering then you need not do MS as both MS and M.Tech are similar degrees. If you have done only B.Tech Aeronautical Engineering then MS or M.Tech will definitely be a value added additional qualification.