Hi Aspirant,
Admission for Engineering has two prospects. The first one is the branch you want to pursue, and your career and interest are the attributes, and the Second one is College, and the placement and tag are the motivation factors.
Metallurgical Engineering has a minimal scope in India over Mechanical Engineering. IIT Bombay and IIT Varanasi are both old IITs, though IIT Bombay leads in the ranking.
I will suggest pursuing Mechanical Engineering in IIT Varanasi will be a wiser decision than pursuing Metallurgical Engineering in IIT Bombay.
All the best.
College Comparison based on Courses, Placement, Rank, Fee
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile