Hello Aspirant,
Since you have not mentioned the name of the entrance exam, the course you wish to join or the college , it is difficult to give an exact answer but based on your profile as you are from Bihar I assume you are talking about Bihar paramedical admissions.The admission possibilities will depend on the number of seats available, the highest marks scored in the exam, number of applicants etc. But based on previous year cutoff trends since your rank is above 3K , getting government college might be difficult.You may try in good private colleges.
These are some top colleges for Paramedical in Bihar :
Darbhanga Medical College
Nalanda Medical College & Hospital Patna
Patna Women’s College
Narayan Medical College & Hospital Sasaram
Magadh Mahila College Patna
Sri Krishna Medical College Muzaffarpur
In case it is some other exam you are talking about , then, you may visit their official website to see for previous year cutoff trends or visit the official website of the college you wish to apply in and see the eligibility criteria.
https://school.careers360.com/articles/list-of-paramedical-courses
All the best
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