Hello,
Yes you can take B.Sc, students need to have passed/studying in class 12 or its equivalent exam from any recognised institution to be eligible for B.Sc course. Some institutions also have restrictions on minimum percentage requirements ranging from 50 to 60% while many institutes require just a pass class in class 12. But you won't be eligible for all B.Sc courses as some courses require specific subjects in your 10+2 level to be eligible like students seeking admission in B.Sc Biology/Biotechnology must have studied Biology as one of the subjects in class 12.
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