Hello student,
With a rank of around 6,848 in the St category, you have chances of procuring a seat in the following IHM's which you preferred

• IHM Bangalore
• I'm Hyderabad
• IHM Mumbai
• IHM Kolkata

IHM Delhi, Pusa is little bit difficult to procure, because the closing ranks for that institute was around 5,700. However, you might get the other colleges which you asked for in the first round itself. Also, one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can go through the following link to know about the cut off's and ranks for the previous years and calculate your chances of selection
https://www.google.com/amp/s/hospitality.careers360.com/articles/nchm-jee-cutoff/amp
Good luck

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