UPTET Paper 1 2016 Solved Paper

Concept: An irrational number cannot be written as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. Explanation: The value of $\pi$ is approximately $3.14159265359...$ and its decimal expansion never ends or repeats. It cannot be expressed exactly as a ratio of two integers. Hence, it is not a rational number. A proper fraction has numerator smaller than denominator, and an improper fraction has numerator greater than or equal to denominator—both are rational. A prime number is a positive integer greater than 1 with exactly two divisors. Since $\pi$ is not an integer and cannot be written as a simple fraction, it is an irrational number. Answer: D. An irrational number