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

If A = {x : x is a factor of 10} and B = {x : x is a factor of 15}, what is A ∪ B?

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Answer and explanation

Correct answer: {1, 2, 3, 5, 10, 15}

The positive factors of 10 are A = {1, 2, 5, 10}, and the positive factors of 15 are B = {1, 3, 5, 15}. The union A ∪ B contains every element that belongs to either set, writing repeated elements only once. Thus A ∪ B = {1, 2, 3, 5, 10, 15}, so option A is correct.

Tags

setsunionfactorsoperations-on-setsmathematicsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 3, 5, 10, 15}

Why is this the correct answer?

The positive factors of 10 are A = {1, 2, 5, 10}, and the positive factors of 15 are B = {1, 3, 5, 15}. The union A ∪ B contains every element that belongs to either set, writing repeated elements only once. Thus A ∪ B = {1, 2, 3, 5, 10, 15}, 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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