Hey Sohan,
Yes the Karnataka state student can appear in UPES as well as VITEE exams. The minimum eligibility is that you must have scored 60% marks in your class 12 board examinations if you belong to general category. For other categories the minimum percentage of 50 will be enough in physics chemistry and maths.  Your VITEE exams are likely to held between 13-19 April 2020 and there will be no negative marking for any questions.
You can separately appear for UPESEAT or your JEEMain score card will also will enough to get admission into this college. As 80% intakes are from UPESEAT and rest of the 20%  is from JEE.
Hope it helps !

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