jee main me 71 percentile hai general category kio government collage me admission ho sakta hai.
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At 71 percentile your approximate rank (not category wise rank) would be 252013 at this rank the chances of having government colleges are less but still I am providing you a link below where you can predict your college on the basis of your percentile in JEE mains by using our college predictor tool.
Best of luck.
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