If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, what is A ∩ B?
Answer and explanation
Correct answer: {2, 4}
The intersection operation selects elements common to both sets, not elements appearing in only one set or in either set. Set A contains 2, 4, 6, and 8; set B contains 1, 2, 3, and 4. The common elements are exactly 2 and 4. Thus A∩B={2,4}, so option B is correct; option D represents the union instead.
Frequently asked questions
What is the correct answer to this question?
{2, 4}
Why is this the correct answer?
The intersection operation selects elements common to both sets, not elements appearing in only one set or in either set. Set A contains 2, 4, 6, and 8; set B contains 1, 2, 3, and 4. The common elements are exactly 2 and 4. Thus A∩B={2,4}, so option B is correct; option D represents the union instead.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
