The correct option is A We discussed about the problem so thoroughly
The correct option is the one with the error.
Option A: The error lies in the words "discussed about the problem".
The verb 'discuss' itself means 'to talk about something' 'About' is already implied.. Hence the preposition 'about' when used again causes repetition: 'We talked about about the problem". Hence A is the correct option as it has the error.
Options B and C are grammatically correct and have no error in them. Hence we choose neither B nor C.
Option D is incorrect because the error lies in A.