Between the two, the NWAC (Northwest Accreditation Commission) full marksheet with Mathematics is the safer and more widely accepted option for long-term career and higher education. A bridge course by the university (UGC-approved but not AICTE) may only be valid within that particular institution, and other universities or employers might not recognize it, especially if AICTE approval is required.

So, if you want future-proof recognition for higher studies (M.Tech, MBA, abroad education) and job placements, NWAC with Mathematics is better and safer.