What type of set is A = {x : x ∈ ℕ and x is divisible by 11}?
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Answer and explanation
Correct answer: Infinite set
The natural numbers divisible by 11 are 11, 22, 33, 44, and so on. In general, every number of the form 11n, where n is a positive natural number, belongs to A. Since n can increase without limit, there is no greatest member and infinitely many multiples exist. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The natural numbers divisible by 11 are 11, 22, 33, 44, and so on. In general, every number of the form 11n, where n is a positive natural number, belongs to A. Since n can increase without limit, there is no greatest member and infinitely many multiples exist. Hence option C 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.
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