If U = {1, 2, …, 36}, A is the set of multiples of 4 and B is the set of perfect squares, which element belongs to A′ ∩ B′?
Answer and explanation
Correct answer: 18
The set A′ ∩ B′ contains elements that are neither multiples of 4 nor perfect squares, because A′ excludes multiples of 4 and B′ excludes perfect squares. The number 18 is not divisible by 4 and is not a perfect square. In contrast, 16 and 36 are multiples of 4 and perfect squares, while 25 is a perfect square. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
The set A′ ∩ B′ contains elements that are neither multiples of 4 nor perfect squares, because A′ excludes multiples of 4 and B′ excludes perfect squares. The number 18 is not divisible by 4 and is not a perfect square. In contrast, 16 and 36 are multiples of 4 and perfect squares, while 25 is a perfect square. Hence option A 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.
