whether the following collections are sets or not. Give reason in support of your answer.
1. The collection of instruments in a geometry box,
2.The collection of easy problems in your maths book.
3.The collection of the big cities of the world
4.The collection of the good Hindi books,
5.The collection of all factors of 24.
6.The collection of all tall buildings in Delhi,
7.The collection of all tasty dishes of a hotel.
8.The collection of five tallest students of a class.
9.The collection of young football players of your school.
10.The collection of all the letters of English alphabet.
11.The collection of all capital cities of India.
12.The collection of all prime numbers between 2 and 20.
13.The collection of first six multiples of 3.
14.The collection of all musical instruments.
15.The collection of all healthy persons of India.
16.The collection of all boys and girls of class whose heights are between 4.5 feet and 5 feet.
Do not give wrong answer or it will be bad for you.
Answers
Question :
Whether the following collections are sets or not. Give reason in support of your answer.
1. The collection of instruments in a geometry box,
2.The collection of easy problems in your maths book.
3.The collection of the big cities of the world
4.The collection of the good Hindi books,
5.The collection of all factors of 24.
6.The collection of all tall buildings in Delhi,
7.The collection of all tasty dishes of a hotel.
8.The collection of five tallest students of a class.
9.The collection of young football players of your school.
10.The collection of all the letters of English alphabet.
11.The collection of all capital cities of India.
12.The collection of all prime numbers between 2 and 20.
13.The collection of first six multiples of 3.
14.The collection of all musical instruments.
15.The collection of all healthy persons of India.
16.The collection of all boys and girls of class whose heights are between 4.5 feet and 5 feet.
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 that criteria for determining the dangerousness of an animal can vary from animal to animal.
Hence, this collection is not a set.
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