Based on previous year cut-offs for AIIMS BSc Nursing , with an OBC rank of 2600 in AIIMS BSc Nursing, you may not get top AIIMS like Delhi, Bhubaneswar, Jodhpur, or Bhopal.
However, you do have a fair chance of getting admission in newer AIIMS such as:
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AIIMS Raipur
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AIIMS Rishikesh
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AIIMS Patna
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AIIMS Nagpur
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AIIMS Manglagiri
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AIIMS Deoghar
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AIIMS Bibinagar