For each question,select the proper option from four options given,to make the statement true: $\sqrt{5} \times \sqrt{5}$ is a / an $\ldots \ldots \ldots$ number.

State whether the following statements are true or false. Give reasons for your answers.
$(i)$ Every natural number is a whole number.
$(ii)$ Every integer is a whole number.
$(iii)$ Every rational number is a whole number.

State whether the following statement is true or false:
Each integer is a whole number.

Find three rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$.

State whether the following statements are true or false. Justify your answer.
$(i)$ $\frac{\sqrt{2}}{3}$ is a rational number.
$(ii)$ There are infinitely many integers between any two integers.

Find five rational numbers between $1$ and $2$.