Which set is equal to {1, 4, 9, 16, 25}?
Answer and explanation
Correct answer: {x : x = n², n ∈ N, 1 ≤ n ≤ 5}
For n = 1, 2, 3, 4, and 5, the expression n² gives 1, 4, 9, 16, and 25 respectively. Therefore, option A produces exactly the same elements as the given set. The cube rule in option B gives different values, the doubling rule in option C gives even values, and option D lists the bases rather than their squares. Hence A is correct.
Frequently asked questions
What is the correct answer to this question?
{x : x = n², n ∈ N, 1 ≤ n ≤ 5}
Why is this the correct answer?
For n = 1, 2, 3, 4, and 5, the expression n² gives 1, 4, 9, 16, and 25 respectively. Therefore, option A produces exactly the same elements as the given set. The cube rule in option B gives different values, the doubling rule in option C gives even values, and option D lists the bases rather than their squares. Hence A 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.
