The primary purpose of this study is to evaluate the efficacy of alogliptin 25 milligram (mg) once daily compared to placebo when administered as monotherapy, or when added onto a background of metformin alone, insulin alone, or a combination of metformin and insulin, as measured by the glycosylated hemoglobin (HbA1c) change from Baseline at Week 26 in pediatric participants with type 2 diabetes mellitus (T2DM).

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