Final answer:
A double negative progenitor T cell does not have CD4 and CD8 on its surface, but it does have CD2 and CD5. It needs IL-7 and Notch 1 to receive the signals that drive their maturation.
Step-by-step explanation:
A double negative progenitor T cell refers to a thymocyte in the cortex of the thymus that does not bear the CD4 or CD8 molecules.
These double-negatives are exposed to cortical epithelial cells in the thymus and undergo positive selection, where they bind to self MHC molecules observed on the thymic epithelia.
The conclusion is that a double negative progenitor T cell does not have CD4 and CD8 on its surface, but it does have CD2 and CD5 (option b). It also needs IL-7 and Notch 1 to receive the signals that drive their maturation (option c), so the correct answer is d. B&C.