greetings shreyas,
bits deoghar is an extension centre of bits mesra.the cut off will depend on the branch that you opt for.
pls refer to the following link for more information:
https://www.careers360.com/university/birla-institute-of-technology-mesra/cut-off
https://www.bitsadmission.com/cutoffscores2018.aspx
https://www.bitmesra.ac.in/
hope this helps.
good luck
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