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

If A = {x : x ∈ N, x is an even factor of 21}, what kind of set is A?

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Answer and explanation

Correct answer: Empty set

The positive natural-number factors of 21 are 1, 3, 7, and 21. Every one of these factors is odd; none is divisible by 2. Therefore, there is no natural number that is both a factor of 21 and even. A has no elements, so it is the empty set and option A is correct.

Tags

setsempty-setfactorsThe 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?

Empty set

Why is this the correct answer?

The positive natural-number factors of 21 are 1, 3, 7, and 21. Every one of these factors is odd; none is divisible by 2. Therefore, there is no natural number that is both a factor of 21 and even. A has no elements, so it is the empty set and option A is correct.

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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