If A = {5, 10, 15, 20} and B = {10, 20}, what is A ∩ B?
Answer and explanation
Correct answer: {10, 20}
The intersection of two sets consists only of the elements that are common to both sets. Comparing A = {5, 10, 15, 20} with B = {10, 20}, the common elements are 10 and 20. Therefore A ∩ B = {10, 20}, so option B is correct. The elements 5 and 15 occur only in A, while the empty set would be correct only if the sets had no common element.
Frequently asked questions
What is the correct answer to this question?
{10, 20}
Why is this the correct answer?
The intersection of two sets consists only of the elements that are common to both sets. Comparing A = {5, 10, 15, 20} with B = {10, 20}, the common elements are 10 and 20. Therefore A ∩ B = {10, 20}, so option B is correct. The elements 5 and 15 occur only in A, while the empty set would be correct only if the sets had no common element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
