Hi Niga,
No wonder you are confused, your posted document is plainly wrong!
A) Low frequencies pass through an inductor. Correct.
B) Low frequencies pass to ground through a capacitor. Wrong.
High frequencies pass to ground through a capacitor.
C) High frequencies pass to ground through a capacitor. Correct.
High frequencies pass through an inductor. Wrong.
Low frequencies pass through an inductor.
The output of a lowpass filter is high frequencies. Wrong.
The output of a lowpass filter is low frequencies.