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Question

Consider the following statements:

I. The set of all birds living on the Earth is an infinite set.

II. The set of all real numbers between 0 and 10 is a finite set.

Which of the statements given above is/are correct?

This question was previously asked in
CDS 2 2026 Maths Question Paper (13-Sep-2026)
The correct answer is

Neither I nor II

The set of all birds living on Earth at any time is a large but finite (countable) population, so statement I is incorrect. The set of all real numbers between \(0\) and \(10\) is uncountably infinite, so statement II is also incorrect. Hence neither statement is correct.

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