If A = {2, 4, 6} and B = {1, 3, 5, 7}, which statement is correct?
Answer and explanation
Correct answer: A ∩ B = ∅
Set A contains only even numbers, whereas set B contains only odd numbers. No number appears in both sets, so the sets are disjoint and their intersection is empty: A ∩ B = ∅. The union is not empty, and each set has elements that are absent from the other, so neither A \ B nor B \ A is empty. Hence option A is uniquely correct.
Frequently asked questions
What is the correct answer to this question?
A ∩ B = ∅
Why is this the correct answer?
Set A contains only even numbers, whereas set B contains only odd numbers. No number appears in both sets, so the sets are disjoint and their intersection is empty: A ∩ B = ∅. The union is not empty, and each set has elements that are absent from the other, so neither A \ B nor B \ A is empty. Hence option A is uniquely 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).
