Number Operations and Properties

Given,
$6 \times 3 (3 - 1)$

$\Rightarrow$  $\spadesuit\spadesuit\spadesuit=18$         [Given]

Let $x $ be multiplied by $-23$ to get $575$

$4 \times 378 \times 25$

Now,

We know that for any number $n$ multiplied by $0$ is always $0$ that is $n\times 0=0$.

$0$ should be replaced M because
$304\times 4 = 1216$

If a number is multiplied by 2 and 5 respectively. Then number should be divided by their L.C.M i.e  by 10.
Clearly, only number divisible by 10 is 30.
Hence, option D is correct.

We know that any number multiplied by $0$ will always result in $0$. For example: The equation $0\times 2 = 0$ can be read as 'Zero times Two equals Zero'. That means, you are taking $'2'$ zero times, effectively taking nothing. So, multiplying any number by zero will always be zero.

We know that any number multiplied by $1$ will always result in that number itself. For example: The equation $2\times 1 = 2$ can be read as 'two times one equals one'. That means, you are taking $'2'$ one times, effectively taking nothing but multiplying by its unity. So, multiplying any number by one will always be the number itself.

By calculations,

We know that any number divided by $1$ will always result in that number itself. For example: $2\div 1 = 2$ and 

We know that any number multiplied by $1$ will always result in that number itself. Therefore, we only multiply $44$ and $567$ as follows:

21774 / 19 = 1146. Then 1146 / 3 = 382.