Rahul, the cutoff rank for BIT Mesra varies with the branch you opt for. In 2018, the branch wise cutoff ranks were as follows:

• CSE- 12840
• Civil- 46334
• Mechanical- 34003
• IT- 19481
• ECE- 24848
• EEE- 29275
• Chemical- 49718
• Production- 53702
• Biotechnology- 63895
• Polymer and Plastic- 62021

Also please note that the cutoff would be lower if you get the benefit of Home state quota.

For cutoff rank of 2017 and other details on the various branches, you can visit: https://www.careers360.com/university/birla-institute-of-technology-mesra/cut-off