If A = {2, 3, 4, 5} and B = {1, 3, 5, 7}, what is n(A ∩ B)?
Answer and explanation
Correct answer: 2
The intersection A ∩ B consists only of elements common to both sets. Comparing the two lists, the common elements are 3 and 5, so A ∩ B = {3, 5}. Therefore, n(A ∩ B) = 2. The other choices do not represent the number of shared elements: 4 is the size of A, 6 is too large, and 0 would mean the sets had no common element.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The intersection A ∩ B consists only of elements common to both sets. Comparing the two lists, the common elements are 3 and 5, so A ∩ B = {3, 5}. Therefore, n(A ∩ B) = 2. The other choices do not represent the number of shared elements: 4 is the size of A, 6 is too large, and 0 would mean 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).
