If A = {x : x is a positive divisor of 60 and x is also a divisor of 15}, what is A?
Answer and explanation
Correct answer: {1, 3, 5, 15}
The word “and” means that x must satisfy both conditions simultaneously. The positive divisors of 60 include 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Among these, the numbers that also divide 15 are 1, 3, 5, and 15. Therefore A = {1, 3, 5, 15}. Option B lists many divisors of 60 that do not divide 15, while option D omits 1 and 15.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 5, 15}
Why is this the correct answer?
The word “and” means that x must satisfy both conditions simultaneously. The positive divisors of 60 include 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Among these, the numbers that also divide 15 are 1, 3, 5, and 15. Therefore A = {1, 3, 5, 15}. Option B lists many divisors of 60 that do not divide 15, while option D omits 1 and 15.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
