A Study of the Safety and Efficacy of Omarigliptin (MK-3102) Compared With Glimepiride in Participants With Type 2 Diabetes Mellitus With Inadequate Glycemic Control on Metformin (MK-3102-016)

Glimepiride (1 mg and/or 2 mg tablets). During the 54-week double-blind treatment period, glimepiride can be up-titrated, as appropriate, to a maximum total daily dose of 6 mg/day. Throughout the trial, down-titration of glimepiride may also occur based upon the participant's glucose measurements and clinical symptoms of hypoglycemia.

Participants will continue on their stable dose (\>=1500 mg/day) of open-label metformin throughout the trial.

Insulin glargine can be used for rescue therapy, if glycemic control is not maintained. Insulin therapy should be initiated as per local country insulin glargine label.