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Maharashtra State BoardSSC (English Medium) 9th Standard

Which set of numbers could be the universal set for the set given below? A = set of multiples of 5. B = set of multiples of 7. C = set of multiples of 12. - Algebra

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Question

Which set of numbers could be the universal set for the set given below?

  1. A = set of multiples of 5.
  2. B = set of multiples of 7.
  3. C = set of multiples of 12.
Sum

Solution

We have,

A = set of multiples of 5 = {5, 10, 15, ...};  

B = set of multiples of 7 = {7, 14, 21, ...}; and 

C = set of multiples of 12 = {12, 24, 36, ...} 

The universal set for the sets A, B and C can be a set of natural numbers, i.e. N.

Disclaimer: The Universal set for the sets A, B and C can be set of whole numbers, integers, rational numbers of real numbers and so on.

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Universal Set
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Chapter 1: Sets - Practice Set 1.3 [Page 11]

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