There are few entrance exams that students normally go for like JEE mains, NEET, BITSAT, etc.

If you are interested in pursuing career in pure sciences then other than IISC, Bangalore, IISERs are good government institutes to go for.

KVPY, JEE advanced, State and Central Boards (SCB) are channels to get admission but they also conduct their own admission aptitude test which take all the four subjects pcmb. You can register for that test on their sites.

Hello,

Based on your subject combinations, there are various courses which you can consider, if by famous you rule out NEET (MBBS/BDS//Bachelor of Homeopathy Medicine and Surgery/Bachelor of Physiotherapy/Bachelor of Unani Medicine and Surgery/Bachelor of Ayurvedic Medicine and Surgery) and JEE (Architecture/Engineering)/other engineering exams, then you can go for BS-MS Dual Degree course from IISER if you're more academically inclined and interested in research ahead in future, you can appear for KVPY for admission to four years BS program at IISC(Bangalore), NEST for admission to integrated five years MSc in NISER(Bhubaneshwar)/UM DAE CABS(Mumbai) . You can also go for various undergraduate courses in the field of Mathematics, and Statistics in Indian Statistical Institute.

You can also appear for ICAR AIEEA UG exam for admission to undergraduate courses in agriculture.

There are options in navy, defence and marine such as Indian Navy BTech Entry Scheme, Indian Army Technical Entry Scheme, IMU CET, NDA & NAE.

You can also explore courses outside your stream in case you're interested such as

Integrated law program for which entrance test like CLAT, LSAT, AILET etc are conducted,

NCHMCT JEE for Hotel Management

NIFT, NID, AIEED are conducted in the field of fashion and design