Which option represents a set equal to R = {1, 4, 9, 16, 25}?
Answer and explanation
Correct answer: {x : x = n², n ∈ N, 1 ≤ n ≤ 5}
The listed elements are consecutive squares: 1 = 1², 4 = 2², 9 = 3², 16 = 4² and 25 = 5². In option A, n takes every natural-number value from 1 through 5, so x = n² produces exactly these five elements and no others. Option B stops before n = 5 and omits 25; option C gives even multiples, while option D gives 2, 3, 4, 5 and 6.
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?
The listed elements are consecutive squares: 1 = 1², 4 = 2², 9 = 3², 16 = 4² and 25 = 5². In option A, n takes every natural-number value from 1 through 5, so x = n² produces exactly these five elements and no others. Option B stops before n = 5 and omits 25; option C gives even multiples, while option D gives 2, 3, 4, 5 and 6.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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