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Hi Soumya,
Category plays a significant role in the admission process of JEE Mains Paper 2. Considering you a general category student, I am afraid to say that you might not be able to get any government college based on your secured percentile in JEE Mains Paper 2.
I will suggest you visit this link for precise information -
JEE Main Architecture/Paper-2 College Predictor - Know your college ad ...
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All the best.
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