If A = {x : x ∈ N, x is even and prime}, what is the correct form of A?
Answer and explanation
Correct answer: {2}
A prime number has exactly two distinct positive divisors, 1 and itself. Among natural numbers, 2 is the only number that is both even and prime. Every other even natural number greater than 2 is divisible by 2 and another number, so it is composite. Hence the set contains only one element and is A = {2}, making option B correct.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
A prime number has exactly two distinct positive divisors, 1 and itself. Among natural numbers, 2 is the only number that is both even and prime. Every other even natural number greater than 2 is divisible by 2 and another number, so it is composite. Hence the set contains only one element and is A = {2}, making option B 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.
