Technical University of Munich

Both are good but TUM is ranked above TUB.

Yes, you can, but please check requirements on the website.

You must attain C2 level in the German language.

Please check the university website. You must also know the German language.

For TUM, GATE score should be high enough. But writing only GATE is not enough, you have to write GRE tougher and trickier than GATE to study abroad.

Hello Kumar,
GATE scores are accepted however not mandatory and for MS programs not Bachelor's degree. To study Bachelor's you must clear IIT-JEE adv because German universities require 13 year education not 12.

You first check out the detail of admission in the institute website:
http://www.tum.de/en/homepage/.
Or, you can search the process in Shiksha Study Abroad.

Yes, the university is very good. The fee including you stay at Munich can be 500-600 Euro / month.

These are universities with minimal fees. But the living costs are expensive. In Munich;
Accommodation (by studentenwerk) - 240-300 euros
Food (self-cooking)- 130 euros
Internet -20 euros
Transport + tuition fees- 150 euros
Total- 540 euros/ month or Rs. 43000/ month
If you work in a part-time job, you can cover your monthly expenses.

You must score more than 50%. The main basis for selection is your CV and the motivational letter.