Hi,
Other than KCET and COMEDK, there are exams like JEE Main, JEE Advanced through which you can take admission in NITs and IITs. Many other colleges accept JEE Main score. Some institutes conduct their own entrance examinations like BITSAT, VITEE, MU OET, SRMJEE, UPSEE, MAHA CET, WBJEE etc.
Hope this helps.
Cheers!
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