Western-Most Longitude of India

The western-most longitude of India refers to the coordinate that represents the farthest point west within the country's territorial boundaries. To determine the correct answer among the given options, let's examine each option and identify the accurate western-most longitude of India.

a) 9725E
This option represents a longitude value of 9725E. However, it is important to note that the maximum longitude value is 180 degrees. Therefore, 9725E is beyond the accepted range and cannot be the correct answer.

b) 687E
This option represents a longitude value of 687E. To determine if this is the correct answer, we need to convert it into degrees west. The standard convention for representing longitudes west of the Prime Meridian is to use negative values. Thus, 687E can be converted to -687W.

c) 6875E
This option represents a longitude value of 6875E. Similar to the previous option, we need to convert this value into degrees west. By following the convention, 6875E can be converted to -6875W.

d) 8232E
This option represents a longitude value of 8232E. Once again, we need to convert it into degrees west following the convention. 8232E can be converted to -8232W.

Conclusion
Among the given options, the correct answer for the western-most longitude of India is 687E (-687W). This coordinate represents the farthest point west within India's territorial boundaries.