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

If A = {1, 2, 3, 4} and B = {2, 4, 6}, what is A ∩ (A − B)?

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Answer and explanation

Correct answer: {1, 3}

First calculate the difference A − B. The elements 2 and 4 are common to A and B, so they are removed from A, giving A − B = {1, 3}. This result is already a subset of A. Therefore, intersecting it with A does not change it: A ∩ (A − B) = {1, 3}. Thus option A is the only correct answer.

Tags

setsset-differenceintersectionoperations-on-setsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 3}

Why is this the correct answer?

First calculate the difference A − B. The elements 2 and 4 are common to A and B, so they are removed from A, giving A − B = {1, 3}. This result is already a subset of A. Therefore, intersecting it with A does not change it: A ∩ (A − B) = {1, 3}. Thus option A is the only correct answer.

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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