If P = {x : x ∈ N and x is a factor of 36} and Q = {1, 2, 3, 4, 6, 9, 12, 18, 36}, which statement is correct?
Answer and explanation
Correct answer: P = Q
The positive natural-number factors of 36 are obtained by checking which natural numbers divide 36 exactly: 1, 2, 3, 4, 6, 9, 12, 18, and 36. This list contains every element written in Q and no other elements. Therefore P and Q have exactly the same members, so P = Q. The number 8 is not a factor because 36 is not divisible by 8.
Frequently asked questions
What is the correct answer to this question?
P = Q
Why is this the correct answer?
The positive natural-number factors of 36 are obtained by checking which natural numbers divide 36 exactly: 1, 2, 3, 4, 6, 9, 12, 18, and 36. This list contains every element written in Q and no other elements. Therefore P and Q have exactly the same members, so P = Q. The number 8 is not a factor because 36 is not divisible by 8.
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.
