Hello, the CPQ quota is for the state or union territories having insufficient medical institutions on their own. The beneficiaries will be those state's students and wards of certain  officials. There is no special exam conducted now you have to apply via the NEET score. For eligibility criteria kindly visit this link https://www.mha.gov.in/sites/default/files/AllocationofMBBS-BDSSeats_21092020.PDF

Best wishes.