In your radio button (actually the button group since you must have 4 exclusive radio buttons) SelectionChangeFcn callback function:
Tag=get(hObject,'Tag')
switch Tag
case 'radiobutton1'
ctqString= {'Option0'; 'Option1'; 'Option 2'; 'Option3'};
case 'radiobutton2'
ctqString= {'Option10'; 'Option11'; 'Option 12'};
end
set(handles.ctqMenu,'String',ctqString);