What is the procedure for applying ETH ZURICH, I am pursuing mechanical engineering from VIT VELLORE INDIA. I have 8.7cgpa so what are my chances of getting accepted?

You have a decent cgpa but there are various other factors that are considered via the admissions committee apart from your grades. 

The other important factors in an application include:
1. Language Proficiency 

2. GMAT/GRE Score

3. Extracurricullars

4. Work Experience

5. SOPs and Essays

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