M.S

Admission procedure & requirement: You have to give GATE or GRE (in some cases). For the cut-offs, you can check the colleges' websites. And if selected on the basis of GATE score, then they'll conduct an interview or a written test. The interviews are quite tough. Usually, the intake is very low. One of my friends got selected at IISc, Bangalore in Mechanical Engineering department. He said only 3 students were selected for M.Sc program. The situation is a bit better at IIT Chennai. They selected about 22 students out of 100 in Aerospace Engineering. department. Actually, the intake is dependent on the faculty's requirement. They also consider your GPA and projects. Students are admitted twice in a year. So the system is pretty much similar to the US graduation admissions.

Here are some known government scholarships in UK
Government funded UK scholarship for international students
British Chevening scholarships :- UK scholarships for international students funded by the UK foreign and commonwealth office and partner organisations. This scholarships provide full or part funding for full-time graduate programs in any subject. Commonwealth Scholarships for Developing Commonwealth Countries :- Scholarships for international students from developing countries in the Commonwealth, for studies at Masters and Ph.D. level. Non-governmental UK scholarships for international students
Euraxess UK :- Euraxess is an initiative of the European Commission, providing support for researchers in Europe. The UK branch of the scheme is run by the British Council, offering various graduate research scholarships for international students from around the worldGovernment scholarships in Germany
DAAD Scholarships :- The German Academic Exchange Service (DAAD) offers many scholarships for international students to study in Germany at various degree levels. You can send an online application in DAAD portal to apply. Erasmus+ :- The largest provider of scholarship for study in the EU, Erasmus+ is led by the European Commission, funding international students to study in Europe. It provides grants towards living costs. Important tips before applying for a scholarship.