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Let A be set of prime numbers less than 6 and B be the set of prime factors of 30. Set A and B are ____________(a) Infinite(b) Empty(c) Singleton(d) EqualThis question was addressed to me in an international level competition.The origin of the question is Equal Sets topic in chapter Sets of Mathematics – Class 11

Answer»

Right option is (d) Equal

Explanation: Prime numbers less than 6 are 2,3,5. A={2,3,5}

30=2*3*5 => 2,3,5 are prime factors of 30. B={2,3,5}

Since EVERY element of A is in B and every element of B is in A so they are equal sets.



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