If A is the set of even prime natural numbers, then A is equal to which set?
Answer and explanation
Correct answer: {2}
A number must satisfy both conditions to belong to A: it must be even and prime. The only even prime number is 2, because every other even natural number greater than 2 is divisible by 2 and is therefore composite. Thus A contains exactly one element and is the singleton set {2}. Option B is incorrect because the set is not empty; C includes composite numbers, and D includes 1, which is not prime.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
A number must satisfy both conditions to belong to A: it must be even and prime. The only even prime number is 2, because every other even natural number greater than 2 is divisible by 2 and is therefore composite. Thus A contains exactly one element and is the singleton set {2}. Option B is incorrect because the set is not empty; C includes composite numbers, and D includes 1, which is not prime.
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.
