If A is the set of prime divisors of 30, which of the following is a proper subset of A?
Answer and explanation
Correct answer: {2, 5}
The prime factorization of 30 is 2 × 3 × 5, so the set of its prime divisors is A = {2, 3, 5}. A proper subset must contain only elements of A but must not be equal to A. The set {2, 5} satisfies both conditions: its elements belong to A and it omits 3. Therefore option A is the proper subset. Option B equals A, while C and D contain elements that are not in A.
Frequently asked questions
What is the correct answer to this question?
{2, 5}
Why is this the correct answer?
The prime factorization of 30 is 2 × 3 × 5, so the set of its prime divisors is A = {2, 3, 5}. A proper subset must contain only elements of A but must not be equal to A. The set {2, 5} satisfies both conditions: its elements belong to A and it omits 3. Therefore option A is the proper subset. Option B equals A, while C and D contain elements that are not in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
