Students with a 3-year B.Sc. degree can apply for the GATE exam. However, the eligibility for admission through GATE scores depends on the program and institution. B.Sc. graduates can apply for Master's programs like M.Tech at institutions such as IITs, IISc, and some NITs, but most IITs require a B.Tech for direct M.Tech admissions. IISc offers Integrated Ph.D. programs, and some NITs may accept B.Sc. graduates for specific programs. Ensure you check the specific eligibility criteria for each institute and program.