Consider the following statements : I. The set of all irrational numbers between 12 and 15 is an infinite set. II. The set of all odd integers less than 1000 is a finite set. Which of the statements given above is/are correct?

NDA 2024 Mathematics question

Consider the following statements : I. The set of all irrational numbers between and is an infinite set. II. The set of all odd integers less than 1000 is a finite set. Which of the statements given above is/are correct?

(A)I onlyCorrect
(B)II only
(C)Both I and II
(D)Neither I nor II

Answer: (A)

Solution

Statement I: between any two distinct real numbers there are infinitely many irrational numbers, so the set is infinite; correct. Statement II: the odd integers less

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Question ID VK-029893