If we talk about the Mechanical Engineering department's cut-off in Indian Institute of Technology, Madras, then the cut-offs in past few years are as follows:

2021: 757 (Opening Rank), 2323 (Closing Rank)
2020: 964 (Opening Rank), 2314 (Closing Rank)
2019: 741 (Opening Rank), 2032 (Closing Rank)

All the above rankings are for GEN category. All the best!