Material Science and Metallurgical Engineering (MEMS) is a highly funded branch in IIT Bombay, and it's a misconception that it's not a good branch just because its cutoffs are high. In fact, Material Science is the most demanded branch at MIT. However, it's essential to note that each branch is unique in its way, and the only thing that matters is your interest.
MEMS teaches engineering aspects of metals, their properties, and engineering problems faced while extracting them, while material science focuses on customizing materials according to your needs. Materials play an essential role in various processes, and you need to alter properties like viscosity, strength, hardness, resistance to temperature, etc. Material science plays a crucial role in developing such materials.
The branch you choose does not determine your success; it's your commitment and passion toward that branch that matters. So, choose a branch based on your interest and passion, not just packages, to excel in it.