Step 1: The hallmark clue is urine that turns almost black on standing in an otherwise healthy, normally developing child of consanguineous parents. This is classic for alkaptonuria, an autosomal recessive condition.
Step 2: Alkaptonuria is caused by deficiency of homogentisate oxidase (homogentisate 1,2-dioxygenase) in tyrosine breakdown. Homogentisic acid accumulates and is excreted in urine, where it oxidizes and polymerizes to a black pigment on standing. So option (b), homogentisate, is elevated.
Step 3: Ruling out the rest by their clinical picture: methylmalonate rises in methylmalonyl-CoA mutase deficiency (acidosis, failure to thrive). Phenylpyruvate rises in PKU (phenylalanine hydroxylase deficiency) with intellectual disability if untreated. Alpha-ketoisovalerate rises in maple syrup urine disease (branched-chain alpha-keto acid dehydrogenase deficiency). All three would give a sick child, not the well child described here.
Ref: Lippincott's Illustrated Reviews Biochemistry, 5e, Amino Acid Degradation, p 276.