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Hi there
As you have no category reservations, so your chances to get the core branch like CSE in a reputated college becomes less with a rank of 69000.But still I will say that your rank is not too bad at all.You can go for your home state colleges to increase the possibility of getting CSE.
I am providing you our jee main college predictor which will give you a close idea of to find best colleges for you based on your jee rank, category and home state.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this will help you!!
Best of luck
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