Let U = {1, 2, ..., 30}, A = {x : x ∈ U and x is a perfect square}, and B = {x : x ∈ U and x is even}. What is A' ∩ B?
Answer and explanation
Correct answer: {2, 6, 8, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30}
The perfect squares in U are A = {1, 4, 9, 16, 25}. Set B contains every even number from 2 through 30. To find A' ∩ B, retain the even numbers but remove the perfect squares 4 and 16, because they are not in A'. Thus the result is {2, 6, 8, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30}.
Frequently asked questions
What is the correct answer to this question?
{2, 6, 8, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30}
Why is this the correct answer?
The perfect squares in U are A = {1, 4, 9, 16, 25}. Set B contains every even number from 2 through 30. To find A' ∩ B, retain the even numbers but remove the perfect squares 4 and 16, because they are not in A'. Thus the result is {2, 6, 8, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
