Общий вопрос с модальным глаголом: Did Roosevelt become very active with the school newspaper?
Альтернативный: Did Roosevelt become very active with the school newspaper or with the school radio?
разделительный (насколько я помню, это вопрос с хвостиком):Roosevelt became very active with the school newspaper, didn't he?
Специальный:Who became very active with the school newspaper?