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    Question

    Consider the following statement 

    1.There is a finite number of rational numbers between any two rational numbers.

    2. There is an infinite number of rational numbers between any two rational numbers.

    3. There is a finite number of irrational numbers between two rational numbers.

    A Only 1 Correct Answer Incorrect Answer
    B Only 2 Correct Answer Incorrect Answer
    C Only 3 Correct Answer Incorrect Answer
    D 2 and 3 both Correct Answer Incorrect Answer

    Solution

    First statement that is   There is a finite number of rational numbers between any two rational numbers, is false. Second statement that is  There is an infinite number of rational numbers between any two rational numbers, is true. Third statement that is There is a finite number of irrational numbers between two  rational numbers, is true. So here we have statement 2 and 3 is correct.

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