If U = {x : x is a natural number and x is a factor of 11}, what kind of set is U?
Answer and explanation
Correct answer: A finite set with two elements
The number 11 is prime, so its positive natural-number factors are only 1 and 11. Hence U = {1, 11}, which has exactly two elements. It is finite, not empty, not a singleton, and certainly not infinite. The defining condition concerns factors of one fixed number, so only finitely many values are possible.
Frequently asked questions
What is the correct answer to this question?
A finite set with two elements
Why is this the correct answer?
The number 11 is prime, so its positive natural-number factors are only 1 and 11. Hence U = {1, 11}, which has exactly two elements. It is finite, not empty, not a singleton, and certainly not infinite. The defining condition concerns factors of one fixed number, so only finitely many values are possible.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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