If A is the set of even divisors of 24, which of the following is a subset of A?
Answer and explanation
Correct answer: {2, 4, 6, 8}
The positive divisors of 24 are {1, 2, 3, 4, 6, 8, 12, 24}. Selecting the even divisors gives A = {2, 4, 6, 8, 12, 24}. Every element of option A belongs to this set, so option A is a subset. Option B contains 5, which is not a divisor of 24; option C contains 1, which is not even; and option D contains 10, which is not a divisor of 24.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6, 8}
Why is this the correct answer?
The positive divisors of 24 are {1, 2, 3, 4, 6, 8, 12, 24}. Selecting the even divisors gives A = {2, 4, 6, 8, 12, 24}. Every element of option A belongs to this set, so option A is a subset. Option B contains 5, which is not a divisor of 24; option C contains 1, which is not even; and option D contains 10, which is not a divisor of 24.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
