To answer this question, let's go through each option to understand why it is correct or incorrect:
Option A) n = 100; - This option is incorrect because it assigns the value of 100 to the variable n, but it does not modify the value of x in the Inner object i that is stored in the Outer object o.
Option B) i.setX(100); - This option is correct because it directly sets the value of x in the Inner object i to 100.
Option C) o.getY().setX(100); - This option is correct because it first retrieves the Inner object i stored in the Outer object o using the getY() method, and then sets the value of x in the Inner object to 100 using the setX() method.
Option D) i = new Inner(); i.setX(100); - This option is incorrect because it creates a new Inner object i and sets its value of x to 100, but it does not update the Inner object that is stored in the Outer object o.
Option E) o.setY(i); i = new Inner(); i.setX(100); - This option is incorrect because it first sets the Inner object i as the value of y in the Outer object o, but then it creates a new Inner object i and sets its value of x to 100. This new Inner object is not stored in the Outer object o.
Option F) i = new Inner(); i.setX(100); o.setY(i); - This option is correct because it first creates a new Inner object i and sets its value of x to 100. Then, it sets this Inner object as the value of y in the Outer object o.
The correct answers are B, C, and F. These options modify the value of x in the Inner object i that is stored in the Outer object o, resulting in the output of 100 when o.getY().getX() is called at line 30.