Between any two rational numbers there

Consider the following statements : 1. There is a finite a 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 any two rational numbers. Which of the above statements is/are correct?

How many rational numbers exist between any two rational numbers ?

In between two rational numbers, there are

Fill in the blank:There are infinite no.of rational nos between any two rational numbers. This property is known as __

State true or false: (i) Between any two distinct integers there is always an integer. (ii) Between any two distinct rational numbers there is always a rational number. (iii) Between any two distinct rational numbers there are infinitely many rational numbers.

If P,Q,R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P-Q is :

If P , Q be the A.M., G.M. respectively between any two rational numbers a and b , then P-Q is equal to (A)   (a-b)/a   (B)   (a+b)/2   (C)   (2ab)/(a+b)   (D)   ((sqrt(a)-sqrt(b))/sqrt(2))^2