If A = {x : x is a positive divisor of 6}, which of the following is A?
Answer and explanation
Correct answer: A = {1, 2, 3, 6}
A positive divisor of 6 is a positive integer that divides 6 exactly, with zero remainder. The factor pairs 1 × 6 and 2 × 3 show that the positive divisors are 1, 2, 3, and 6. No other positive integer divides 6 without a remainder. Thus the roster form is A = {1, 2, 3, 6}, so option A is correct. Options B and C omit valid divisors, while D incorrectly treats the set as empty.
Frequently asked questions
What is the correct answer to this question?
A = {1, 2, 3, 6}
Why is this the correct answer?
A positive divisor of 6 is a positive integer that divides 6 exactly, with zero remainder. The factor pairs 1 × 6 and 2 × 3 show that the positive divisors are 1, 2, 3, and 6. No other positive integer divides 6 without a remainder. Thus the roster form is A = {1, 2, 3, 6}, so option A is correct. Options B and C omit valid divisors, while D incorrectly treats the set as empty.
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.
