My suggestion would be not considering IIT Patna Metallurgy, as it is quite a new branch with newer unexperienced faculty and lesser research facilities and prospects. Any Core Branch in IIT, takes atleast 10 years to become game changers in specific research domains and education. Perhaps at the same probable rank, I believe you will surely Make into Metallurgical Engineering IIT BBSR, Mining Machinery or Environmental at IIT ISM Dhanbad or Ceramic Engineering at IIT BHU. These 4 courses have better placements and have experienced Faculty and Research prospects besides having excellent Infrastructure and Outlook being Older Technical Institutes. All the Best.

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https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer