The correct option, Arunachal Pradesh and Gujarat, represents the easternmost and westernmost states of India due to their geographical coordinates. Arunachal Pradesh, located in the northeastern part of India, extends to the easternmost longitude of the country, while Gujarat, situated on the western coast, reaches the westernmost longitude. This distinction is essential for understanding India's geographical diversity and regional planning, which are frequently covered in UPSC exams, particularly in questions related to geography and resource allocation.