If A = {3, 6, 9, 12} and B = {6, 12, 18}, find A ∩ B.
Answer and explanation
Correct answer: {6, 12}
The intersection A ∩ B consists of elements present in both A and B. Checking the lists, 6 appears in A and B, and 12 also appears in both. The elements 3 and 9 occur only in A, while 18 occurs only in B, so they are excluded. Hence A ∩ B = {6, 12}, and option B is correct. Option C incorrectly combines all elements as if the operation were union.
Frequently asked questions
What is the correct answer to this question?
{6, 12}
Why is this the correct answer?
The intersection A ∩ B consists of elements present in both A and B. Checking the lists, 6 appears in A and B, and 12 also appears in both. The elements 3 and 9 occur only in A, while 18 occurs only in B, so they are excluded. Hence A ∩ B = {6, 12}, and option B is correct. Option C incorrectly combines all elements as if the operation were union.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
