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Between any two rational numbers,

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There is no rational number

There is exactly one rational number

There are infinitely many rational numbers

There are only rational numbers and no irrational numbers

answer is C.

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Detailed Solution

It is given two rational numbers.
We know that to find a rational number between

r

and

s,

we can add

r

and

s

and divide the sum by

2

that is,

\frac{r + s}{2}

lies between r and s.
For example,

\frac{5}{2}

is a number between

2

and 3.
Hence, we can conclude that there are infinitely many rational numbers between any two given rational numbers.
So the correct option is 3.

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