Which option correctly describes N = {7, 14, 21, 28, 35}?
Answer and explanation
Correct answer: N = {7n : n ∈ N, 1 ≤ n ≤ 5}
The elements 7, 14, 21, 28, and 35 are the first five positive multiples of 7. Writing an element as 7n and allowing n to take the values 1 through 5 produces exactly those five numbers. Option B includes every natural number up to 35, option C gives multiples of 5, and option D gives the first five square numbers. Therefore, the correct description is option A.
Frequently asked questions
What is the correct answer to this question?
N = {7n : n ∈ N, 1 ≤ n ≤ 5}
Why is this the correct answer?
The elements 7, 14, 21, 28, and 35 are the first five positive multiples of 7. Writing an element as 7n and allowing n to take the values 1 through 5 produces exactly those five numbers. Option B includes every natural number up to 35, option C gives multiples of 5, and option D gives the first five square numbers. Therefore, the correct description 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.
