You can definitely appear for both CUET UG and NEET exams, as they are for different purposes. CUET UG is for admission to undergraduate programs in central universities, while NEET is for admission to medical and dental programs.
Regarding B.ED (ITEP) admission, yes, you can get admission through CUET UG. The Common University Entrance Test (CUET) is accepted by various central universities for admission to undergraduate programs, including B.ED (ITEP) .
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