### Playing With Numbers

goals
Fill in the blanks
a)A number is divisible by $24$ if it is divisible by both ____ and ____.
b)A number is divisible by ____ if it is divisible by $4$ and $9$.
In each of the following questions, the numbers/letters are arranged based on some pattern or principle.Choose the correct answer for the term marked by the symbol (?)
If a number is divisible by any number m , then it will also be divisible by each of the factor m'. This statement is _____ .
Solve:
$\frac{12^{3}\times 9^{2}\times 4}{6^{4}\times 8^{2}\times 8}.$
Observe the given pattern
$4\times 0+1=01$
$4\times1+2=06$
$4\times 2+3=11$
$4\times 3+4=16$
Then the value of $4\times8+9$ is -----