Consider the following statements : 1. The set of all irrational numbers between 2 and 5 is an infinite set. 2. The set of all odd integers less than 100 is a finite set. Which of the statements given above is/are correct?

NDA 2022 Mathematics question

Consider the following statements : 1. The set of all irrational numbers between and is an infinite set. 2. The set of all odd integers less than 100 is a finite set. Which of the statements given above is/are correct?

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

1: between any two distinct real numbers there are infinitely many irrational numbers, so the set is infinite; correct. 2: the odd integers less than 100

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Question ID VK-029420