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

If P = {x : x ∈ ℕ, x is a factor of both 18 and 30}, what is P?

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Answer and explanation

Correct answer: {1, 2, 3, 6}

List the positive factors of each number. The factors of 18 are 1, 2, 3, 6, 9, and 18, while the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The elements appearing in both lists are 1, 2, 3, and 6. Therefore, P is the set of common factors, so P = {1, 2, 3, 6}; option A is correct.

Tags

setscommon-factorsfinite-setsintersectionThe 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, 3, 6}

Why is this the correct answer?

List the positive factors of each number. The factors of 18 are 1, 2, 3, 6, 9, and 18, while the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The elements appearing in both lists are 1, 2, 3, and 6. Therefore, P is the set of common factors, so P = {1, 2, 3, 6}; 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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