If A = {5, 10, 15} and B = {20, 25}, what is A ∩ B?
Answer and explanation
Correct answer: ∅
The intersection contains elements common to both sets. The elements of A are 5, 10, and 15, while the elements of B are 20 and 25. There is no number appearing in both lists, so the sets are disjoint. Therefore, their intersection is the empty set: A ∩ B = ∅. The union would contain all five elements, but that is not being asked.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The intersection contains elements common to both sets. The elements of A are 5, 10, and 15, while the elements of B are 20 and 25. There is no number appearing in both lists, so the sets are disjoint. Therefore, their intersection is the empty set: A ∩ B = ∅. The union would contain all five elements, but that is not being asked.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
