Hello student,
You have not mentioned which category you belong to. With a rank of around 5,200 ,if it is general, you have chances of procuring a seat in the following IHM's

• IHM Hajipur
• IHM Shillong
• IHM Srinagar
• IHM Thiruvananthapuram

The above mentioned colleges are central 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 have good chances are getting selected.
Good luck

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