Hello student,
With a rank of around 3,000 in St category, you have chances of procuring a seat in the following IHM's when comparing the results of previous years.

• IHM Bengaluru
• IHM Bhopal
• IHM Bhubaneshwar
• IHM Goa
• IHM Chennai
• IHM Chandigarh
• IHM Hajipur
• IHM Jaipur
• IHM Hyderabad
• IHM Shimla
• IHM Lucknow
• IHM Gurdaspur
• IHM Gwalior
• IHM Guwahati
• IHM Shillong
• IHM Srinagar
• IHM Thiruvananthapuram
• IHM Mumbai
• IHM Delhi
• IHM Kolkata

The above mentioned colleges are central government IHM's which you can get a seat in the first round itself. But, 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 stand on the safer side only.
Good luck

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