India

It might be difficult, check details below:
HITSEEE 2018 Eligibility
B.Tech Programmes:
Aspirants seeking admission to Hindustan University's B.Tech degree programme should have passed the Higher Secondary examination (12th) Curriculum (Academic Stream) prescribed by the Government of Tamil Nadu with Mathematics, Physics & Chemistry or equivalent. Please note that improvement mark will not be considered. Eligibility Marks:
Academic Stream: Aspirants must have acquired a minimum average of 60% in Physics, Mathematics and Chemistry put together. For B.Tech Biotech only:
A minimum Average of 60% in Physics, Chemistry and Mathematics put together. Eligibility Marks:
Vocational Stream: Candidates should have acquired a minimum average of 60% marks in the related subjects and vocational subjects (theory and practical).

No, only those students who have cleared their SSC (Class 10) or HSC (Class 12) exams from Karnataka are eligible to appear for the KCET exams. Other top national level medical entrance exams you can apply to are as follows:
1) NEET UG (National Eligibility cum Entrance Test Undergraduate)
2) AIIMS MBBS (All India Institute of Medical Sciences MBBS Entrance Examination)
3) PGIMER Entrance Exam (Post Graduate Institute of Medical Education and Research Entrance Exam)
4) CMC Vellore PG (CMC Vellore PG Entrance Exam)
5) COMEDK PG Medical Admissions (Consortium of Medical Engineering and Dental Colleges of Karnataka Post Graduate Medical Admissions)

Rajasthan University MCA Syllabus & Exam Pattern:
Eligibility:
The Candidates must possess (10+2) at School level with Mathematics and Graduation (3 years duration) in any Subject from any recognized university or graduation (10+2+3 years duration) in any Subject with Mathematics as one subject from any recognized university or BCA /BE from any recognized university with at least 50% marks in aggregate (45% in case of SC/ST and OBC Candidates) without any approximation in the Qualifying Examination. However, the Candidates appearing for the Qualifying Examination (Graduate Degree) will also be permitted to appear in the Admission Test, but their admission will be provisional subject to furnishing the degree of qualifying examination with the prescribed eligibility as per University rules.