Which is the correct roster form of G₁ = {x : x ∈ ℕ, x is a multiple of 18, and x < 100}?
Answer and explanation
Correct answer: G₁ = {18, 36, 54, 72, 90}
Starting with the positive natural multiple 18, the successive multiples are 18, 36, 54, 72, 90, and 108. The condition x < 100 keeps the first five values and excludes 108. Under the usual school convention used here, natural numbers begin with 1, so zero is not included. Therefore, the correct finite roster is option A.
Frequently asked questions
What is the correct answer to this question?
G₁ = {18, 36, 54, 72, 90}
Why is this the correct answer?
Starting with the positive natural multiple 18, the successive multiples are 18, 36, 54, 72, 90, and 108. The condition x < 100 keeps the first five values and excludes 108. Under the usual school convention used here, natural numbers begin with 1, so zero is not included. Therefore, the correct finite roster is option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
