If A = {x : x ∈ N and x is a factor of 12} and B = {1, 2, 3, 5}, what is A ∩ B?
Answer and explanation
Correct answer: {1, 2, 3}
The natural-number factors of 12 are A = {1, 2, 3, 4, 6, 12}. The intersection A ∩ B contains only elements common to this factor set and B = {1, 2, 3, 5}. The common elements are 1, 2, and 3; 5 is not a factor of 12, while 4, 6, and 12 are not in B. Hence, A ∩ B = {1, 2, 3}.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3}
Why is this the correct answer?
The natural-number factors of 12 are A = {1, 2, 3, 4, 6, 12}. The intersection A ∩ B contains only elements common to this factor set and B = {1, 2, 3, 5}. The common elements are 1, 2, and 3; 5 is not a factor of 12, while 4, 6, and 12 are not in B. Hence, A ∩ B = {1, 2, 3}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).