If A = {x : x is a positive even divisor of 12} and B = {2, 4, 6, 12}, choose the correct statement.
Answer and explanation
Correct answer: A = B
First list the positive divisors of 12: 1, 2, 3, 4, 6, and 12. Selecting only the even divisors removes 1 and 3, leaving A = {2, 4, 6, 12}. This is exactly the set specified as B, so the two sets have identical membership and A = B. Option A is correct. Options B and C wrongly claim proper inclusion, while D includes the odd divisors 1 and 3.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
First list the positive divisors of 12: 1, 2, 3, 4, 6, and 12. Selecting only the even divisors removes 1 and 3, leaving A = {2, 4, 6, 12}. This is exactly the set specified as B, so the two sets have identical membership and A = B. Option A is correct. Options B and C wrongly claim proper inclusion, while D includes the odd divisors 1 and 3.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
