What is the remainder when $27$ is divided by $4$?

The Least Common Multiple $(LCM)$ of $6$ and $20$ is .......

The last digit of $2^{m} \cdot 5^{n}$ (where $m, n \in N$) is . . . . . . .

Find the $HCF$ and $LCM$ of the following pair of integers $510$ and $92$ and verify that $HCF \times LCM = \text{product of the two numbers}$.

Any odd positive integer $a$ is of the form . . . . . . ,where $m$ is an integer.

For two positive integers $a$ and $b$,if $\text{HCF}(a, b) = 7$ and $\text{LCM}(a, b) = 385$,then the product $a \times b$ is: