You can go for JEE MAINS which is an ALL INDJA entrance examination for admission to Engineering courses into IITs and NITs and also state engineering colleges. You can go for CET for state enginneering colleges. NEET is an All India common entrance test for admission to various medical courses like MBBS BDS BAMS BHMS BPT or BVPT etc. KVPY us another exam that you can look for. Apart from this there are many entrance examinations of their own colleges like BITS has BITSAT exam, etc.

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