Hello,
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You haven't mentioned particular state where you wanted to study so I am providing you some of the best government colleges  offering BSC genetics.
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• AWH special college, Calicut
• Dayananda sagar institute, Bangalore
• Kakatiya University, Warangal
• Kim's college of BSC
• Government city college ,ghazi bazar
• Government nursing home, hyd
• Eshwari Bai memorial college of nursing , Hyderabad
• Babu jagjeevan ram college , narayanaguda

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some of the viewed government colleges in India for BSC.
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If you would have mentioned the state we would have helped you out more clearly.
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Thank you