If A = {1, 3, 5, 7, 9} and B = {3, 6, 9}, which element belongs to A ∪ B but does not belong to A ∩ B?
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Answer and explanation
Correct answer: 5
The intersection A ∩ B consists of elements present in both sets: {3, 9}. The union A ∪ B contains every element appearing in either set: {1, 3, 5, 6, 7, 9}. Among the choices, 5 is in A and therefore in the union, but it is not in B, so it is not in the intersection. Thus 5 is correct.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The intersection A ∩ B consists of elements present in both sets: {3, 9}. The union A ∪ B contains every element appearing in either set: {1, 3, 5, 6, 7, 9}. Among the choices, 5 is in A and therefore in the union, but it is not in B, so it is not in the intersection. Thus 5 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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