Class 10 Maths · Real Numbers · NCERT Exercise 1.4 · Question 5

Show that one and only one out of $n$, $n+4$, $n+8$, $n+12$ and $n+16$ is divisible by 5, where $n$ is any positive integer. [Hint: Any positive integer can be written in the form $5q$, $5q+1$, $5q+2$, $5q+3$, $5q+4$.]