GRE Scores

HI Akhil Raghu,
A decent score range is 310 and above. Anything above 315 is a good one.

Hi Ashwini,
VLSI is offered as a specialization or major in MS in EE. So, you have to find universities which are well known in this area. I will list out some not so selective universities because your CGPA and GRE is not too high, but you have to check the specific admission requirements on their websites
Drexel University
Case Western Reserve University
Oregon State University
Rensselaer Polytechnic Institute
University at Buffalo, The State University of New York and so on.

Scholarship entirely depends on university. You need to score exceptionally well I.e. in GRE 330 and TOEFL 110 or above so that chances of getting scholarship is high.

Hi Ramya,
First decide where to study, since you took the GRE I assume you want to study in US. You should check the admission requirements of the universities, every university has different admission criteria so you must prepare accordingly. You must also check the fee, scholarship options, post study work options, deadlines, etc.

Without clearing your backlogs, you won't be able to go to Germany for mechanical engineering, hence clear your backlogs first and then opt for Germany.

Please refer to answer by Sreevignesh. Both the scores (CAT and GMAT) are valid.