An extremely bookish fortune-telling exam _ an extremely bookish fate

No, boys are just a kind of address for people of a certain age and have nothing to do with extremely young people. A boy is a minor. In martial arts novels, men who have no sexual experience at all are also called "boys", which also refers to a subject in the old imperial examination in ancient times. Extremely bookish refers to the underage servants who served their masters and their children in the old society.