Which description correctly represents I = {1, 8, 27, 64}?
Answer and explanation
Correct answer: Cubes of natural numbers up to 4
The listed numbers can be written as 1³, 2³, 3³ and 4³. Thus I is the set of cubes of the natural numbers from 1 through 4, or the cubes of natural numbers up to 4. They are not squares, because 8 and 27 are not squares; nor are they all even numbers or all factors of 64.
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What is the correct answer to this question?
Cubes of natural numbers up to 4
Why is this the correct answer?
The listed numbers can be written as 1³, 2³, 3³ and 4³. Thus I is the set of cubes of the natural numbers from 1 through 4, or the cubes of natural numbers up to 4. They are not squares, because 8 and 27 are not squares; nor are they all even numbers or all factors of 64.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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