Solution:

(i) The collection of all months of the year that begin with the letter J can be considered as well-defined collection of objects.

Because each month in the collection can be identified.

As a result, this collection can be considered a set.

(ii) The list of India’s ten most talented writers cannot be considered as well-defined list.

Because the criteria for determining a writer’s talent vary from person to person.

As a result, this collection cannot be considered a set.