Let A = {x ∈ N : x is a divisor of 10} = {1, 2, 5, 10}. Which of the following is not a subset of A?
Answer and explanation
Correct answer: {2, 4}
A set is a subset of A only when every one of its elements is also an element of A. The elements of A are 1, 2, 5, and 10. Options A, B, and C contain only elements from this list, so each is a subset of A. Option D contains 4, and 4 is not a divisor of 10 and is not an element of A. Therefore {2,4} is not a subset, making option D correct.
Frequently asked questions
What is the correct answer to this question?
{2, 4}
Why is this the correct answer?
A set is a subset of A only when every one of its elements is also an element of A. The elements of A are 1, 2, 5, and 10. Options A, B, and C contain only elements from this list, so each is a subset of A. Option D contains 4, and 4 is not a divisor of 10 and is not an element of A. Therefore {2,4} is not a subset, making option D correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
