If A = {2, 3, 4, 5}, B = {1, 3, 5, 7}, and C = {0, 3, 6, 9}, what is A ∩ B ∩ C?
Answer and explanation
Correct answer: {3}
The intersection of several sets contains only elements common to every set. Comparing A and B first gives A ∩ B = {3, 5}. The set C contains 3 but does not contain 5. Thus, after checking all three sets, only 3 remains, so A ∩ B ∩ C = {3}. Option B is not correct because 5 is absent from C, and option C includes that same incorrect element. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{3}
Why is this the correct answer?
The intersection of several sets contains only elements common to every set. Comparing A and B first gives A ∩ B = {3, 5}. The set C contains 3 but does not contain 5. Thus, after checking all three sets, only 3 remains, so A ∩ B ∩ C = {3}. Option B is not correct because 5 is absent from C, and option C includes that same incorrect element. Therefore, option A is 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).
