Amrita Vishwa Vidyapeetham - Bengaluru Campus Bangalore Answered Questions

Yes you can but for this you have to give GATE exam in ECE only for VLSI Degin Master course. Just prepare for GATE for ECE branch. You can check the syllabus of GATE ECE you will find some of the subject are common in EE and ECE and remaining you can prepare in less time also. Just go with the concepts the branches are not too different. All institute in government allow Master in VLSI to ECE branch only not EE. Hope it solved your query. Best of luck.
For any further query please feel free to ask me.

Being a student from Tier-2 college, I can tell you that the following companies generally come for placements:
-Caterpillar (offered Highest package during my college time )
-Mahindra and Mahindra
-Tata motors
-L&T
-Wheels India
-Bosch
-Suzlon
-Flowserve
-Ucal fuel systems
-Hyundai motors
-Ford India
-Blue Star
- Elgi
Apart from these, there will be software companies for recruitment.

We can differentiate one from other on the basis of following factors.
1. Faculty: Faculty at Amrita and VIT are reasonably good but more number of Ph.Ds are at Amrita I guess. Faculty at Amrita are friendly compared to faculty at other colleges.
2. Discipline and Values: In this Amrita stands at top giving importance to discipline and values. Along with education for living one can learn education for life at VIT only. But VIT university sometimes fails in this( this is from the information of my friends)
3. Labs: Labs are good at Amrita, VIT and Manipal University.
4. Infrastructure: Infrastructure at Amrita is good compared to rest. Vellore also has good infrastructure and hotels they say. But being in Amrita is homely.
5. Placements: Placements percentage at VIT stands top among these but the placement percentages of others is also not very low. They are almost comparable. But the companies come to hire, sometimes take the students for IT jobs (even the non-computer science student). Students placed in core (mechanical, electrical and electronics ) are low, mostly they will be placed in TCS, Infosys, Wipro, Tech Mahindra etc. Based on the above details you have to decide which suits you.