A P Singh Solutions for Chapter: Real Numbers, Exercise 5: PERIODIC TEST (Paper Pen Test)

The decimal expansion of the rational number $\frac{13}{3125}$ will terminate after

For some integer $x$, every odd integer is of the form

$n-1$ is divisible by $5$, if $n$ is of the form

The necessary condition on ‘$n$’ such that $\sqrt{n}$ is irrational will be that

The number $\sqrt{\frac{9}{11}}$ is

The decimal expansion of $\frac{129}{2^2{5}^7{7}^5}$ is

If $p$ and $q$ are odd positive integers then the sum of squares of these two number is

If $a$ and $b$ are two odd prime numbers, show that $a^2-b^2$ is composite.