If A = {1, 2, 3, 4}, B = {2, 3, 5}, and C = {3, 6}, what is A ∩ B ∩ C?
Answer and explanation
Correct answer: {3}
The intersection of three sets contains only elements common to all three sets. The element 3 appears in A, B, and C. Although 2 appears in A and B, it is absent from C, so it cannot belong to the three-way intersection. No other element is common to all three sets. Therefore, A ∩ B ∩ C = {3}, making option B correct.
Frequently asked questions
What is the correct answer to this question?
{3}
Why is this the correct answer?
The intersection of three sets contains only elements common to all three sets. The element 3 appears in A, B, and C. Although 2 appears in A and B, it is absent from C, so it cannot belong to the three-way intersection. No other element is common to all three sets. Therefore, A ∩ B ∩ C = {3}, making option B correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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