Hello student,
With a rank of around 6,400 in general category, you have chances of procuring a seat in the following IHM's when comparing the results of previous years :

• SIHM Hamirpur
• SIHM. Kozhikode
• SIHM. Kurukshetra
• SIHM yamuna nagar, Haryana
• SIHM Telangana
• SIHM Durgapur

The above mentioned colleges are state government IHM's which you can get a seat 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 stand on the safe zone only.
Good luck

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