For an MTech in VLSI, you should prefer IIT Gandhinagar. The course curriculum is research-oriented. Students usually have multiple publications during their MTech tenure. During the cohort, you will participate in many projects.
Almost everyone from the branch gets placed. According to IIT Gandhinagar placements, M.Tech VLSI students get salary packages in the range of INR 10-20 LPA.
Among VLSI and Telecommunication, the former offers good placement opportunities. So, if you want decent placement offers after the completion of the course then go for VLSI.
According to the placement record of 2020, IIT Gandhinagar offered an average CTC of 8 LPA to the students. The highest CTC offered was 40 LPA. The top recruiting companies are Wipro, HCL Technologies, Intel, etc.
IIT Gandhinagar is a decent choice, you can find out more about the institute from the official website. But if you have options to join NIT Trichy, NIT Warangal, and Surathkal, go for the old NITs instead. These are better than new IITs. Also, if you don’t have a problem with the hefty course fee, you can also join BITS Pilani, Microelectronics.