If A = {x ∈ N : x ≤ 50 and 5 divides x}, what type of set is A?
Answer and explanation
Correct answer: Finite set
The natural numbers not exceeding 50 that are divisible by 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. There are only ten such numbers because the condition includes the upper bound x ≤ 50. Since the list ends at 50, it cannot continue indefinitely. Therefore A is a finite set, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The natural numbers not exceeding 50 that are divisible by 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. There are only ten such numbers because the condition includes the upper bound x ≤ 50. Since the list ends at 50, it cannot continue indefinitely. Therefore A is a finite set, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
