The last digit of $2^{3} \times 5^{125}$ is . . . . . . .

Show that the square of any positive integer cannot be of the form $6m+2$ or $6m+5$ for any integer $m$.

The decimal representation of $\frac{7}{2^3 \cdot 5^4}$ will have how many digits after the decimal point?

$\frac{p}{q}$ is a rational number and for non-negative integers $m$ and $n$,$q = 2^{m} 5^{n}$ if and only if the decimal form of $\frac{p}{q}$ is $\ldots \ldots \ldots \ldots$

Write whether the square of any positive integer can be of the form $3m + 2$,where $m$ is a natural number. Justify your answer.

Prove that one of any three consecutive positive integers must be divisible by $3$.