If A is the set of positive divisors of 18 that are less than 10 and B = {1, 2, 3, 6, 9}, which statement is true?
Answer and explanation
Correct answer: A = B
The positive divisors of 18 are 1, 2, 3, 6, 9, and 18. Applying the condition “less than 10” removes 18, so A = {1, 2, 3, 6, 9}. This is exactly the same collection of elements as B. In a set, order does not matter, but every element must match. Therefore A = B, making option A correct. Option D incorrectly includes 18, which does not satisfy the given inequality.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive divisors of 18 are 1, 2, 3, 6, 9, and 18. Applying the condition “less than 10” removes 18, so A = {1, 2, 3, 6, 9}. This is exactly the same collection of elements as B. In a set, order does not matter, but every element must match. Therefore A = B, making option A correct. Option D incorrectly includes 18, which does not satisfy the given inequality.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
