Step 1: After untreated HIV infection there is a long clinical latency during which the virus slowly depletes CD4 T cells. The approximate incubation period before AIDS develops is about 10 years.
Step 2: The median time from infection to AIDS in untreated adults is roughly 9 to 10 years, so the closest and accepted answer is option (b), 10 years.
Step 3: A small group of long-term non-progressors keep CD4 counts in the normal range for 10 years or more, and rare 'elite controllers' have undetectable viral loads, but these are exceptions and do not change the typical 10-year figure. The other options (7.5, 11 and 12 years) do not match the standard teaching.