If U = {1, 2, ..., 25}, A is the set of perfect squares and B is the set of multiples of 5, which element belongs to A' ∩ B'?
Answer and explanation
Correct answer: 22
A' ∩ B' contains elements that are neither perfect squares nor multiples of 5. Among the choices, 16 is a perfect square, 20 is a multiple of 5, and 25 is both a perfect square and a multiple of 5. The number 22 is neither a perfect square nor divisible by 5, so it belongs to both A' and B'. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
22
Why is this the correct answer?
A' ∩ B' contains elements that are neither perfect squares nor multiples of 5. Among the choices, 16 is a perfect square, 20 is a multiple of 5, and 25 is both a perfect square and a multiple of 5. The number 22 is neither a perfect square nor divisible by 5, so it belongs to both A' and B'. Therefore, option C is correct.
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.
