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

If A = {1,3,5,7,9}, B = {2,3,5,8}, and C = {3,4,5,6}, what is A − (B ∩ C)?

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Answer and explanation

Correct answer: {1,7,9}

Evaluate the parentheses first: B ∩ C = {3,5}, because 3 and 5 are the only elements common to B and C. Then remove these elements from A: A − {3,5} = {1,7,9}. Thus option A is correct. Option B is only the intermediate intersection, while option C fails to remove anything.

Tags

setsintersectionset-differenceorder-of-operationsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1,7,9}

Why is this the correct answer?

Evaluate the parentheses first: B ∩ C = {3,5}, because 3 and 5 are the only elements common to B and C. Then remove these elements from A: A − {3,5} = {1,7,9}. Thus option A is correct. Option B is only the intermediate intersection, while option C fails to remove anything.

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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