If A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and C = {4, 8, 12}, what is A ∩ B ∩ C?
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Answer and explanation
Correct answer: {4}
An element belongs to A ∩ B ∩ C only if it appears in all three sets. First, the common elements of A and B are {2, 4}. Checking these against C = {4, 8, 12}, only 4 is present; 2 is absent. Although 8 is in B and C, it is not in A. Thus the three-set intersection is {4}, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
{4}
Why is this the correct answer?
An element belongs to A ∩ B ∩ C only if it appears in all three sets. First, the common elements of A and B are {2, 4}. Checking these against C = {4, 8, 12}, only 4 is present; 2 is absent. Although 8 is in B and C, it is not in A. Thus the three-set intersection is {4}, so option B 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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