Pattern recognition first: a metabolite that turns urine black only after the urine sits exposed to air is a giveaway for alkaptonuria, because the offending compound has to oxidize in the open before it darkens. That compound is homogentisic acid, which builds up when homogentisate 1,2-dioxygenase is missing in the tyrosine degradation pathway. The disorder is autosomal recessive, which fits the consanguineous parents and the one healthy sibling. So homogentisate is the elevated metabolite, option (b). Now eliminate by severity, since the child is healthy with normal growth: methylmalonic acidemia, phenylketonuria, and maple syrup urine disease (the sources of methylmalonate, phenylpyruvate, and alpha-ketoisovalerate respectively) all present early with a sick, failing-to-thrive or neurologically impaired infant. A thriving 4-year-old whose only sign is darkening urine cannot have those. The benign course plus black-on-standing urine seals the diagnosis as alkaptonuria.