If U = {1, 2, ..., 25} and A' = {4, 8, 12, 16, 20, 24}, how many elements of A are divisible by 4?
Answer and explanation
Correct answer: 0
The numbers in U that are divisible by 4 are exactly 4, 8, 12, 16, 20, and 24. These six numbers are all listed in A', the complement of A. Since A and A' are disjoint and together contain U, none of these divisible-by-4 elements can belong to A. Therefore the required number of elements is 0, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The numbers in U that are divisible by 4 are exactly 4, 8, 12, 16, 20, and 24. These six numbers are all listed in A', the complement of A. Since A and A' are disjoint and together contain U, none of these divisible-by-4 elements can belong to A. Therefore the required number of elements is 0, so 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.
