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

If A = {x : x ∈ N, x is a factor of both 4 and 6}, what is A?

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Answer and explanation

Correct answer: {1, 2}

A factor divides a number exactly, with no remainder. The natural-number factors of 4 are 1, 2, and 4, while the natural-number factors of 6 are 1, 2, 3, and 6. The elements common to both lists are 1 and 2. Hence A = {1, 2}, so option A is correct. The set has two elements and is therefore finite.

Tags

setscommon-factorsfinite-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?

{1, 2}

Why is this the correct answer?

A factor divides a number exactly, with no remainder. The natural-number factors of 4 are 1, 2, and 4, while the natural-number factors of 6 are 1, 2, 3, and 6. The elements common to both lists are 1 and 2. Hence A = {1, 2}, so option A is correct. The set has two elements and is therefore finite.

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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