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 $$9$$.

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 -----

$$4\times 0+1=01$$

$$4\times1+2=06$$

$$4\times 2+3=11$$

$$4\times 3+4=16$$

Then the value of $$4\times8+9 $$ is -----