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No, with a rank of 6,700 in general category you are unlikely to get a seat in MS Obstetrics and Gynaecology at ESIC Medical College of Faridabad Under All India Quota.
The closing ranks for OBG at this college have been much lower, such as in NEET PG 2024 the last rank for general category was around 3,659 in first round and 4,353, in Round 2.