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Hello aspirant,
You haven't mentioned the rank of 6k is of CRL or your category rank. Depending on this, your colleges will vary. The cutoffs and the availability of seats in the successive rounds of counselling also vary each year. To know about the colleges that you can get into, use the college predictor tool given below: https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this helps you. All the best!
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