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Consider the following statements. I. There are finite number of rational numbers between 51 and 52. II. There are infinite number of rational numbers between 99 and 100. III. There are finite number of irrational numbers between√2 and √3. Which of the statement(s) given above is/are correct?

Consider the following statements. I. There are finite number of rational numbers between 51 and 52. II. There are infinite number of rational numbers between 99 and 100. III. There are finite number of irrational numbers between√2 and √3. Which of the statement(s) given above is/are correct? Correct Answer Only II

We know that between any two rational numbers, there are infinite number of rational and irrational numbers. Hence only Statement II is true.

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