If R = {x : x ∈ N and x is a multiple of 36} and Q = {1, 2, 3, 4, 6, 9, 12, 18, 36}, what is true about R and Q?
Answer and explanation
Correct answer: R is infinite and Q is finite
The positive natural-number multiples of 36 are 36, 72, 108, 144, and so on, so R continues indefinitely and is infinite. In contrast, Q is explicitly listed and contains only nine elements, so it is finite. The two sets are not equal: Q lists factors of 36, whereas R contains multiples of 36. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
R is infinite and Q is finite
Why is this the correct answer?
The positive natural-number multiples of 36 are 36, 72, 108, 144, and so on, so R continues indefinitely and is infinite. In contrast, Q is explicitly listed and contains only nine elements, so it is finite. The two sets are not equal: Q lists factors of 36, whereas R contains multiples of 36. Hence option B is correct.
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.
