Final answer:
The correct diagnosis for recurrent pulmonary and cutaneous infections with catalase positive organisms like S. aureus is Chronic Granulomatous Disease (CGD), which is characterized by a defect in the NADPH oxidase system.
Step-by-step explanation:
The description of recurrent pulmonary and cutaneous infections with catalase positive organisms like S. aureus, Serratia, and Burkholderia is highly suggestive of Chronic Granulomatous Disease (CGD). CGD is caused by defects in the NADPH oxidase system of phagocytic cells, leading to reduced antibacterial activity due to the inability to produce superoxide radicals in phagolysosomes. The susceptibility to specific organisms is a hallmark feature of CGD, as these defenses are particularly important for destroying the aforementioned types of bacteria.
Thus, the correct answer to this question regarding the diagnosis indicated by the recurrent infections with catalase positive organisms is (D) chronic granulomatous disease.