If A = {1,2,4,6,8}, B = {2,3,6,9}, and C = {6,8,10}, what is (A ∪ B) ∩ C?
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Answer and explanation
Correct answer: {6,8}
First form the union A ∪ B = {1,2,3,4,6,8,9}. Now intersect this set with C = {6,8,10}. Only 6 and 8 occur in both sets, so (A ∪ B) ∩ C = {6,8}. Option B is wrong because 2 is not in C, and option D is the union rather than the requested intersection.
Frequently asked questions
What is the correct answer to this question?
{6,8}
Why is this the correct answer?
First form the union A ∪ B = {1,2,3,4,6,8,9}. Now intersect this set with C = {6,8,10}. Only 6 and 8 occur in both sets, so (A ∪ B) ∩ C = {6,8}. Option B is wrong because 2 is not in C, and option D is the union rather than the requested intersection.
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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