Let U = {1, 2, 3, ..., 50}, A be the set of prime numbers, and B be the set of even numbers. What is A ∩ B?
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Answer and explanation
Correct answer: {2}
A prime number has exactly two positive divisors: 1 and itself. Every even number is divisible by 2. The number 2 is the only even number that is prime, because every other even number has at least the divisors 1, 2, and itself. Therefore, A ∩ B = {2}. Note that 1 is not prime.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
A prime number has exactly two positive divisors: 1 and itself. Every even number is divisible by 2. The number 2 is the only even number that is prime, because every other even number has at least the divisors 1, 2, and itself. Therefore, A ∩ B = {2}. Note that 1 is not prime.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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