Let U={1,2,3,4,5,6,7,8,9,10,11,12}, A={2,4,6,8,10,12}, and B={3,4,6,9,12}. What is A∩B?
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Answer and explanation
Correct answer: {4,6,12}
The intersection A∩B is the set of elements that occur in both A and B. Comparing the two listed sets, 4, 6, and 12 appear in each set, while 2, 8, and 10 occur only in A and 3 and 9 occur only in B. Thus A∩B={4,6,12}, so option A is correct. Option D is the union, not the intersection.
Frequently asked questions
What is the correct answer to this question?
{4,6,12}
Why is this the correct answer?
The intersection A∩B is the set of elements that occur in both A and B. Comparing the two listed sets, 4, 6, and 12 appear in each set, while 2, 8, and 10 occur only in A and 3 and 9 occur only in B. Thus A∩B={4,6,12}, so option A is correct. Option D is the union, not the 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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