Which option is not a finite set?
Answer and explanation
Correct answer: {x ∈ ℕ : x is prime}
The states of India and the days of a week are clearly finite sets. The natural numbers less than 1000 also form a finite set because there is a fixed upper bound. In contrast, prime numbers continue indefinitely; there is no largest prime number. Therefore the set of prime natural numbers is infinite and is not finite, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
{x ∈ ℕ : x is prime}
Why is this the correct answer?
The states of India and the days of a week are clearly finite sets. The natural numbers less than 1000 also form a finite set because there is a fixed upper bound. In contrast, prime numbers continue indefinitely; there is no largest prime number. Therefore the set of prime natural numbers is infinite and is not finite, so option C 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.
