Which set is finite but not empty?
Answer and explanation
Correct answer: {x : x ∈ ℕ and x divides 24}
Option A contains all natural numbers greater than 100, so it is infinite. Option B is empty because no integer lies strictly between 2 and 3. Option C contains the natural divisors of 24, namely 1, 2, 3, 4, 6, 8, 12, and 24; therefore it is finite and non-empty. Option D is the set of all integers and is infinite.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ ℕ and x divides 24}
Why is this the correct answer?
Option A contains all natural numbers greater than 100, so it is infinite. Option B is empty because no integer lies strictly between 2 and 3. Option C contains the natural divisors of 24, namely 1, 2, 3, 4, 6, 8, 12, and 24; therefore it is finite and non-empty. Option D is the set of all integers and is infinite.
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.
