If A={2,3,5,7,11} and B={1,3,5,9}, what is A∩B?
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Answer and explanation
Correct answer: {3,5}
The intersection A ∩ B is the set of elements appearing in both A and B. Comparing the members, 3 and 5 occur in each set. The elements 2, 7, and 11 occur only in A, while 1 and 9 occur only in B. Hence A ∩ B = {3,5}, making option A correct. Option D is the union, not the intersection.
Frequently asked questions
What is the correct answer to this question?
{3,5}
Why is this the correct answer?
The intersection A ∩ B is the set of elements appearing in both A and B. Comparing the members, 3 and 5 occur in each set. The elements 2, 7, and 11 occur only in A, while 1 and 9 occur only in B. Hence A ∩ B = {3,5}, making option A 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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