As you are saying that your ST category Rank is 3067 there are less chances of getting it Because you are Belonging from Other State Quota.
But one of my friend getting Metallurgical Branch in MANIT Bhopal in 2018 having more than 3200+ rank but he is getting this branch becuase he is belonging from the home state quota.
Instead Of MANIT OR MNIT you can get easily metallurgical/Biomedical engineering at NIT RAIPUR.

But fill out the option correctly so that you can get better college
This is Year 2020 Everything is happen is unpredictable. so it hopes you can get MANIT.

Dear Student,

as per last years records and based on your rank and category, the chances are less for you to get Metallurgical Engineering in the above stated NITs. However you can try out for other branches available at NITs.

To know more about your admission possibilities please visit the link given below.

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

Hello Aspirant,

Getting admission into a NIT of your preferred choice depends on various factors like your category, seat availability at college, no. of applicants appeared, exam difficulty level and previous years cutoff trends.

Seeing your rank and category and also the previous years cutoff trends, it is bit difficult to say whether you would get admission into your preferred branch.

But, the cutoff varies each year depending upon the above mentioned parameters.

You can have a look at the previous years cutoff trends of various NITs for metallurgical engineering given below,

https://engineering.careers360.com/articles/nits-cutoff-for-b-tech-metallurgical-and-materials-engineering

Hope that helps. Good luck