UPTET Paper 1 2013 Solved Paper

Concept:Between any two distinct rational numbers, there exist infinitely many other rational numbers.Explanation:Take two rational numbers such as $\frac{1}{5}$ and $\frac{1}{2}$. Convert them to a common denominator: $\frac{1}{5}=\frac{4}{20}$ and $\frac{1}{2}=\frac{10}{20}$. Between $\frac{4}{20}$ and $\frac{10}{20}$, you can list $\frac{5}{20},\frac{6}{20},\frac{7}{20},\frac{8}{20},\frac{9}{20}$. By increasing the denominator (e.g., $\frac{40}{200}$), you can find even more rational numbers like $\frac{41}{200},\frac{42}{200}$, etc. This process can continue endlessly. Therefore, between any two rational numbers, there are infinitely many rational numbers.Answer:C. there are infinitely many rational numbers