Navigation and selection on a non-touch s60.
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It seems that the focus policy (http://doc.qt.nokia.com/4.6/qwidget.html#focusPolicy-prop) of both QToolBox and QTabWidget has been explicitly set to Qt::NoFocus so they won't handle keypad navigation at all at the moment.
I suggest you subclass them, set the focus policy to TabFocus, and then check out other classes like QSlider and QComboBox (search for #ifdef QT_KEYPAD_NAVIGATION) and check out how things are handled there, then do similar handling in your subclassed versions.
Or just install an event filter and hack a less elegant solution :)
(Alessandro, feel free to pitch in here :)