If A = {x : x is a positive divisor of 15} and B = {1, 3, 5, 15}, which statement is correct?
Answer and explanation
Correct answer: A = B
The positive divisors of 15 are the positive numbers that divide 15 exactly: 1, 3, 5, and 15. Thus the rule defining A gives A = {1, 3, 5, 15}. This is precisely the list used to define B, so A and B contain the same elements and are equal. Options B and C incorrectly claim a proper-subset relation, while D omits 1 and 15.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive divisors of 15 are the positive numbers that divide 15 exactly: 1, 3, 5, and 15. Thus the rule defining A gives A = {1, 3, 5, 15}. This is precisely the list used to define B, so A and B contain the same elements and are equal. Options B and C incorrectly claim a proper-subset relation, while D omits 1 and 15.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
