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Hi Girish, for the course you have specified, I would like to suggest Germany and USA.
Germany
It may not be possible to get a specialisation in all of the subjects you have specified. Automotive is easier to find than the others mentioned. Universities offering the course are : RWTH Aachen, TU Ilmenau, Univ of Bayreuth, TU Kaiserslautern
Education in Germany is tuition free. Some Universities charge a minimal amount of Euro 140 - 500 per semester as semester fee. Living expenses come to Euro 740 per month.
There are 2 intakes in a yearSep/Oct and MArch/April. The application and admission process takes about 9 months so youneed to plan accordingly. Thedeadline for Sep/Oct intake is in Jan and for March /Aprilintake is in July. Hence, youwill need to make an early application.
Once the University receives your application they may takeabout 3-4 months to inform youof the decision. Not all Univmay intimate you if your application is incomplete, hence it is your duty to ensure thatyou send all the requested documents in one go to avoid anylast minute issues.
If you do not want to apply directly or are apprehensive youtake help from UNI ASSIST. they charge Euro 55 for their service of applying to 2-3 univ.And additional Euro 15 per univ.
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Coming to Group Discussions, it is practically impossible, to prepare for the Group Discussion. You just need to keep the purpose of the Group Discussion, and the process in mind. The topic can be virtually anything, as in, political, social, economic, abstract or a case study. You need to be mentally alert and change your way of thinking, when you speak out. Personal Interviews have a set of questions, which are normally asked. Do not take to rote learning, since it will land you in a mess. You need to be honest with your answers, and should know everything about the B School, where you have been called. Do not end up giving superficial answers.