Step 1: This is an odour-to-disease matching question among four metabolic disorders, so recall each signature smell.
Step 2: The sweaty feet or cheesy aroma is the textbook clue for isovaleric acidemia, where a block in leucine breakdown lets isovaleric acid build up. Glutaric aciduria type II shares this scent.
Step 3: Phenylketonuria smells mousy or musty from phenylacetic acid, and maple syrup urine disease smells of burnt sugar or maple syrup from branched chain keto acids. Neither fits sweaty feet.
Step 4: Alkaptonuria does not give a strong fresh smell; instead the urine turns black on standing as homogentisic acid oxidises. The only match for sweaty feet is isovaleric acidemia.
\[\boxed{\text{Isovaleric acidemia}}\]