The correct option is C stand
The word that is a best fit for both the sentences is option C, Stand. Stand means an attitude towards an issue or viewpoint. This is the context of second sentence that he preferred to consider the other viewpoint. The other meaning of stand is to be found. This is the context of first sentence that the person cannot stand such loud noise. Option A 'bear' means carry. Option B 'support' means to give assistance to. So, A and B do not fit in the second sentence. Option D 'Opinion' means point of view. Option E 'Position' means to arrange something in a particular way. So, D and E do not fit in the first sentence. Thus, best fit is option C , stand.