UPTET Paper 1 2017 Solved Paper

Concept:π is an irrational number because its decimal expansion is non-terminating and non-repeating, and it cannot be expressed as a fraction of two integers.Explanation:A rational number can be written as $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. Examples: $6 = \frac{6}{1}$, $0.5 = \frac{1}{2}$, $-0.675 = \frac{-27}{40}$, $\frac{10}{3} = 3.333\ldots$.An irrational number cannot be written in that form. Its decimal form goes on forever without repeating.π = 3.14159265359... is such a number. It does not terminate nor show a repeating pattern.Other examples: $\sqrt{2}$, $\sqrt{3}$.A prime number is a positive integer greater than 1 that has exactly two factors (1 and itself). Examples: 2, 3, 5, 7.An integer is a whole number (no fractional part) that can be positive, negative, or zero. Examples: -1, 0, 1, 2, 3.Since π fits none of these except irrational, it is correctly classified as irrational.Answer:B. irrational number