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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

If W = {x : x ∈ ℕ and x is a factor of 12}, what type of set is W?

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Answer and explanation

Correct answer: Finite set

The natural-number factors of 12 are 1, 2, 3, 4, 6, and 12. Hence W = {1, 2, 3, 4, 6, 12}, which contains exactly six elements. A fixed positive integer has only finitely many positive factors because every factor can be paired with another factor whose product is 12. Therefore, W is a finite set.

Tags

setsfinite setfactorsnatural numbersThe 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?

Finite set

Why is this the correct answer?

The natural-number factors of 12 are 1, 2, 3, 4, 6, and 12. Hence W = {1, 2, 3, 4, 6, 12}, which contains exactly six elements. A fixed positive integer has only finitely many positive factors because every factor can be paired with another factor whose product is 12. Therefore, W is a finite set.

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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