A Study to Assess the Safety and Efficacy of Omarigliptin (MK-3102) in Participants With Type 2 Diabetes Mellitus (T2DM) and Inadequate Glycemic Control (MK-3102-011)

Omarigliptin 25 mg capsule administered orally once a week.

Placebo to omarigliptin capsule administered orally once a week

If necessary, participants may have glycemic rescue therapy initiated with open-label metformin during Phase A of the study. Participants in the placebo treatment group who were not rescued with open-label metformin during Phase A will receive blinded metformin (starting at 500 mg orally twice daily with up-titration to 1000 mg orally twice daily) in Phase B. Participants in the omarigliptin treatment group who were rescued with open-label metformin in Phase A will continue open-label metformin during Phase B of the study.

During Phase B of the study, participants in the omarigliptin treatment group who did not initiate glycemic rescue therapy during Phase A will receive placebo to metformin for 30 weeks (Phase B of the study).

If necessary during Phase B of the study, participants will initiate open-label glimepiride as glycemic rescue therapy