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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 10

If A = {x : x is a factor of 12} and B = {x : x is a factor of 18}, what is A ∩ B?

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Answer and explanation

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

The positive factors of 12 are A = {1, 2, 3, 4, 6, 12}, while the positive factors of 18 are B = {1, 2, 3, 6, 9, 18}. The intersection A ∩ B contains only elements present in both sets. Therefore, the common factors are {1, 2, 3, 6}, so option A is correct.

Tags

setsintersectionfactorsoperations-on-setsmathematicsOperations on Sets (UnionDifference)operations on sets union intersection differenceClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 3, 6}

Why is this the correct answer?

The positive factors of 12 are A = {1, 2, 3, 4, 6, 12}, while the positive factors of 18 are B = {1, 2, 3, 6, 9, 18}. The intersection A ∩ B contains only elements present in both sets. Therefore, the common factors are {1, 2, 3, 6}, so option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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