Well according to last year trends and cutoff I think you can surely get the following branches in BIT Mesra.
Bio Technology
Chemical Engineering
Chemical Engineering (Plastic and polymer)
Civil Engineering
Production Engineering
You will probably get any of these branches ideally after first few rounds of counselling or maybe even in the special round.
If you do not wish to take a drop then BIT Mesra is the best institute for you given the rank you have.
All the best!

BIT Mesra

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Mata Sito Devi College of Education, Mansa

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