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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 18

If (A \ B = {2, 5}), (B \ A = {7}), and (A ∩ B = {1, 3}), then what is (A ∪ B)?

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Answer and explanation

Correct answer: {1, 2, 3, 5, 7}

The union contains every element that belongs to A or B. The three given parts are disjoint: elements only in A are {2, 5}, elements only in B are {7}, and common elements are {1, 3}. Combining all these parts without repetition gives A ∪ B = {1, 2, 3, 5, 7}. Therefore, option A is correct.

Tags

setsunionset-differenceintersectionOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 3, 5, 7}

Why is this the correct answer?

The union contains every element that belongs to A or B. The three given parts are disjoint: elements only in A are {2, 5}, elements only in B are {7}, and common elements are {1, 3}. Combining all these parts without repetition gives A ∪ B = {1, 2, 3, 5, 7}. Therefore, 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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