Hi,

You will be eligible for eligible for SB stream however you have to enroll for the undergraduate basic science program as the eligibility to appear for SB stream is -

Students enrolled in the 1st year of undergraduate program in Basic Sciences namely Physics/Chemistry/Mathematics & Biology leading to B.Sc./B.S./B.Stat./B.Math./Int. M.Sc./Int. M.S. during the academic year 2020–21 and having secured a minimum of 60% (50% for SC/ST/PWD) marks in aggregate in MATHEMATICS and SCIENCE subjects (Physics/Chemistry/Biology)  in the XII Standard Board Examination.

According to kvpy authority there is no prescribed syllabus for the aptitude test. The aptitude test aims to test the understanding and analytical ability of the student than his/her factual knowledge. However, students are tested for the syllabus up to class X/XII/1st year of  B.Sc./B.S./B.Stat./B.Math./Int. M.Sc./M.S. as applicable.

Hope it helps.