If A = {x : x ∈ ℕ, x is a factor of 48 and x is prime}, what is A?
Answer and explanation
Correct answer: {2, 3}
The governing concept is describing a set by common conditions: being a factor of 48 and being prime. Since 48 = 2⁴ × 3, its prime divisors are only 2 and 3. Number 1 is not prime, and 4 and 6 are composite, so they cannot enter A. Hence A = {2, 3}, making option A correct. The other choices include at least one non-prime or non-required number.
Frequently asked questions
What is the correct answer to this question?
{2, 3}
Why is this the correct answer?
The governing concept is describing a set by common conditions: being a factor of 48 and being prime. Since 48 = 2⁴ × 3, its prime divisors are only 2 and 3. Number 1 is not prime, and 4 and 6 are composite, so they cannot enter A. Hence A = {2, 3}, making option A correct. The other choices include at least one non-prime or non-required number.
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.
