Which of the following pairs of States of India indicates the Easternmost and Westernmost State?

The correct option is Arunachal Pradesh and Gujarat.

To determine the easternmost and westernmost states of India, we look at the geographical coordinates and the extreme points of the Indian mainland:

1. Easternmost State:
The easternmost point of India is located near Kibithu in the Anjaw district of Arunachal Pradesh.
Arunachal Pradesh is the state that extends furthest to the east, sharing international borders with Myanmar and China (Tibet). Its longitudinal extremity reaches approximately 97°25′ E.

2. Westernmost State:
The westernmost point of India is located near Ghuar Mota in the Kutch district of Gujarat.
Gujarat is the state that extends furthest to the west, bordering the Arabian Sea and Pakistan. Its longitudinal extremity reaches approximately 68°7′ E.

Therefore, the pair of states indicating the easternmost and westernmost states of India is Arunachal Pradesh and Gujarat respectively.