If A = {x : x is a positive divisor of 40 and x ≤ 10}, which of the following is equal to A?
Answer and explanation
Correct answer: {1,2,4,5,8,10}
The positive divisors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The condition x ≤ 10 allows only 1, 2, 4, 5, 8, and 10. Hence A = {1,2,4,5,8,10}, which is exactly option A. Option B contains divisors greater than 10, while option C omits valid divisors and option D includes numbers that violate the upper-bound condition.
Frequently asked questions
What is the correct answer to this question?
{1,2,4,5,8,10}
Why is this the correct answer?
The positive divisors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The condition x ≤ 10 allows only 1, 2, 4, 5, 8, and 10. Hence A = {1,2,4,5,8,10}, which is exactly option A. Option B contains divisors greater than 10, while option C omits valid divisors and option D includes numbers that violate the upper-bound condition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
