The word that has same meaning as the italicized word in both the sentences is Option B, distant. Distant refers to a reserved person. It also means far away. Context of sentence I is that his reserved or distant behaviour is indication of his arrogance. Sentence II means during our field visits we visited distant parts of Rajasthan, i.e: parts which were faraway. Option A 'inner' means.internal or interior. Option C 'far-off' is a place at a great distance. Option D 'introvert' is a person who speaks less. So, options A, C and D are incorrect options and the correct answer is option B, distant.