Which of the following sets is equal to {1, 8, 27}?
Answer and explanation
Correct answer: {x : x = n³, n ∈ N, 1 ≤ n ≤ 3}
For option A, substitute the natural-number values n = 1, 2, and 3 into x = n³. The resulting values are 1³ = 1, 2³ = 8, and 3³ = 27. Hence option A produces exactly the elements of the given set. Equality of sets depends on having precisely the same elements, regardless of their order.
Frequently asked questions
What is the correct answer to this question?
{x : x = n³, n ∈ N, 1 ≤ n ≤ 3}
Why is this the correct answer?
For option A, substitute the natural-number values n = 1, 2, and 3 into x = n³. The resulting values are 1³ = 1, 2³ = 8, and 3³ = 27. Hence option A produces exactly the elements of the given set. Equality of sets depends on having precisely the same elements, regardless of their order.
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.
