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Question

Which of the following collections is not a set?


A

The vowels in the English alphabet.

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B

All natural numbers which divide 42.

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C

Names of 10 most renowned actors.

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D

Names of rivers in India.

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Solution

The correct option is C

Names of 10 most renowned actors.


A set is a well-defined collection of objects.

a) Vowels in English alphabet are a, e, i, o, u. So, this is a set.

b) All natural numbers that divide 42 are 1, 2, 3, 6, 7, 14, 21, 42. This is also a set.

c) The collection of most renowned actors is not well-defined, because the criterion for selecting an actor as most renowned may vary from one person to another. So, this is not a set.

d) We may not be able to recollect immediately the names of all rivers, but the collection is well-defined i.e., given a river name, we can say whether it belongs to this set or not.


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