A page can contain only one ScriptManager control in its hierarchy. To register services and scripts for nested pages, user controls, or components when the parent page already has a ScriptManager control, use the ScriptManagerProxy control. For more information, see Using the ASP.NET UpdatePanel Control with Master Pages
Can a page have multiple ScriptManagers? If yes, under what conditions?
MSDN says no, you cannot have more than one (emphasis mine):
A page can contain only one ScriptManager control in its hierarchy. To register services and scripts for nested pages, user controls, or components when the parent page already has a ScriptManager control, use the ScriptManagerProxy control. For more information, see Using the ASP.NET UpdatePanel Control with Master Pages