Which of the following are sets ? Justify your answer.

(i) The collection of all months of a year beginning with the letter J = it is a well defined collection of objects because any month belonging to this collection can be easily identified.

This collection is a set.

(ii) The collection of ten most talented writers of India is not a well-defined collection because the criteria for determining a writer's talent may vary from person to person.

Hence, this collection is not a set.

(iii) A team of eleven best cricket batsmen of the world is not a well-defined collection because the criteria for determining a batsman's talent may vary from person to person.

Hence, this collection is not a set.

(iv) The collection of all boys in your class is a well-defined collection because any boy who belongs to this collection can be easily identified.

Hence, this collection is a set.

(v) The collection of all natural numbers less than 100 is a well-defined collection because any number belonging to this category can be easily identified.

Hence, this collection is a set.

(vi) A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because any book belonging to this collection can be identified definitely.

Hence, this collection is a set.

(vii) The collection of all even integers is a well-defined collection because any even integer belonging to this collection can be easily identified.

Hence, this collection is a set.