If A = {4, 6, 8, 10, 12} and B = {3, 6, 9, 12, 15}, what is A ∩ B?
Answer and explanation
Correct answer: {6, 12}
The intersection A ∩ B contains precisely those elements that occur in both sets. Comparing the elements, 6 occurs in A and B, and 12 also occurs in A and B. The other elements occur in only one set. Hence A ∩ B = {6, 12}. Option B contains elements exclusive to A, option C contains elements exclusive to B, and option D is the union rather than the intersection.
Frequently asked questions
What is the correct answer to this question?
{6, 12}
Why is this the correct answer?
The intersection A ∩ B contains precisely those elements that occur in both sets. Comparing the elements, 6 occurs in A and B, and 12 also occurs in A and B. The other elements occur in only one set. Hence A ∩ B = {6, 12}. Option B contains elements exclusive to A, option C contains elements exclusive to B, and option D is the union rather than 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).
