If \(A=\{x\in\mathbb{N}\mid x\text{ is an even divisor of }24\}\), which of the following is not a subset of A?
Answer and explanation
Correct answer: \(\{2,6,10\}\)
The even natural-number divisors of 24 are \(A=\{2,4,6,8,12,24\}\). A set is a subset of A only when every one of its elements belongs to A. Options A and B contain only valid even divisors. Option C contains 10, and 10 does not divide 24 exactly, so C is not a subset of A. The empty set in option D is a subset of every set, including A.
Frequently asked questions
What is the correct answer to this question?
\(\{2,6,10\}\)
Why is this the correct answer?
The even natural-number divisors of 24 are \(A=\{2,4,6,8,12,24\}\). A set is a subset of A only when every one of its elements belongs to A. Options A and B contain only valid even divisors. Option C contains 10, and 10 does not divide 24 exactly, so C is not a subset of A. The empty set in option D is a subset of every set, including A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
