Hello,
According to your query you want to take admission in St John's College , Bangalore . Even though you're a resident of west bengal you can surely take admission in Bangalore without any issue. You'll be required to be eligible for all the rules and regulations of the college and meet the marks criteria. You'll only need an additional document , i.e. Migration certificate from your school. And you're good to go and join there. Hope this answer helps you, thank you.
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