What type of set is the set of positive divisors of 24, and how many elements does it have?
Answer and explanation
Correct answer: Finite, with 8 elements
The positive divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. This list contains eight distinct numbers and is complete because no other positive integer divides 24 without a remainder. Since the set can be listed completely and has a fixed number of elements, it is finite. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
Finite, with 8 elements
Why is this the correct answer?
The positive divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. This list contains eight distinct numbers and is complete because no other positive integer divides 24 without a remainder. Since the set can be listed completely and has a fixed number of elements, it is finite. Therefore, option A 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.
