2013 · Q1
Consider the following statements:
- 1There is a finite number of rational numbers between any two rational numbers.
- 2There is an infinite number of rational numbers between any two rational numbers.
- 3There is a finite number of irrational numbers between any two rational numbers.
Which of the above statements is/are correct?
Elementary MathematicsNumber System
- A1 only
- B2 only
- C3 only
- D2 and 3
Explanation
Between any two rationals there are infinitely many rationals (2 correct); there are also infinitely many irrationals, so 1 and 3 are wrong. Answer B.