The correct answer is Option B.
JUDICIOUS means having, showing or done with a sense of good judgement or sense.
In the given sentence the reference is to the father's selection of books i.e. the father has a good judgement of selection of books.
Thus Option B is the correct answer.
The Option A is incorrect because JUDICIAL means anything related to law or the judiciary.
Since Option B is the correct answer, Option C and D cannot be correct.