Sarthaks Test
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Which of the following are sets? Justify your answer. 

(i) The collection of all months of a year beginning with the letter J. 

(ii) The collection of ten most talented writers of India. 

(iii) A team of eleven best-cricket batsmen of the world. 

(iv) The collection of all boys in your class. 

(v) The collection of all natural numbers less than 100. 

(vi) A collection of novels written by the writer Munshi Prem Chand. 

(vii) The collection of all even integers. 

(viii) The collection of questions in this Chapter. 

(ix) A collection of most dangerous animals of the world.

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Best answer

(i) The collection of all months of a year beginning with the letter J is a well-defined collection of objects because one can definitely identify a month that belongs to this collection. Hence, 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 you can definitely identify a boy who belongs to this collection. Hence, this collection is a set. 

(v) The collection of all natural numbers less than 100 is a well-defined collection because one can definitely identify a number that belongs to this collection. Hence, this collection is a set. 

(vi) A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because one can definitely identify a book that belongs to this collection. Hence, this collection is a set. 

(vii) The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection. Hence, this collection is a set. 

(viii) The collection of questions in this chapter is a well-defined collection because one can definitely identify a question that belongs to this chapter. Hence, this collection is a set. 

(ix) The collection of most dangerous animals of the world is not a well defined collection because the criteria for determining the dangerousness of an animal can vary from person to person. Hence, this collection is not a set.  

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