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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsMediumLevel 4

If G = {x : x ∈ ℕ, x is a factor of 18 and x is prime}, what is G?

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Answer and explanation

Correct answer: G = {2, 3}

The positive natural-number factors of 18 are 1, 2, 3, 6, 9, and 18. Among these, only 2 and 3 are prime numbers because each has exactly two positive divisors. The number 1 is not prime, and 6, 9, and 18 are composite. Therefore the set satisfying both conditions is G = {2, 3}.

Tags

setsprime numbersfactorsfinite setThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

G = {2, 3}

Why is this the correct answer?

The positive natural-number factors of 18 are 1, 2, 3, 6, 9, and 18. Among these, only 2 and 3 are prime numbers because each has exactly two positive divisors. The number 1 is not prime, and 6, 9, and 18 are composite. Therefore the set satisfying both conditions is G = {2, 3}.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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