If A is the set of positive divisors of 12 that are less than 5 and B = {1, 2, 3, 4}, which statement is correct?
Answer and explanation
Correct answer: A = B
The positive divisors of 12 are 1, 2, 3, 4, 6, and 12. The condition that the divisor must be less than 5 leaves only 1, 2, 3, and 4. Hence A = {1, 2, 3, 4}. This is exactly the set given as B, so A = B. The subset options are not the best description because the sets are equal rather than proper subsets, and their intersection is the whole set, not the empty set.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive divisors of 12 are 1, 2, 3, 4, 6, and 12. The condition that the divisor must be less than 5 leaves only 1, 2, 3, and 4. Hence A = {1, 2, 3, 4}. This is exactly the set given as B, so A = B. The subset options are not the best description because the sets are equal rather than proper subsets, and their intersection is the whole set, not the empty set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
