If A = {1, 3, 5} and B is the set of odd natural numbers less than 6, what is the relation between A and B?
Answer and explanation
Correct answer: A and B are equal
The natural numbers less than 6 are 1, 2, 3, 4, and 5. Selecting only the odd numbers gives B = {1, 3, 5}. Since A is also {1, 3, 5}, both sets have exactly the same elements and are therefore equal. They are not disjoint because they share every element. Neither set has more elements than the other, and B is clearly not empty. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
A and B are equal
Why is this the correct answer?
The natural numbers less than 6 are 1, 2, 3, 4, and 5. Selecting only the odd numbers gives B = {1, 3, 5}. Since A is also {1, 3, 5}, both sets have exactly the same elements and are therefore equal. They are not disjoint because they share every element. Neither set has more elements than the other, and B is clearly not empty. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
