$486÷?\times 7392÷66=1008$

What will come in place of the question mark (?) in the following questions?

The correct answer is Option 54.

Let the unknown value represented by the question mark (?) be $x$.

The given mathematical equation is:

$486÷x\times 7392÷66=1008$

Following the rules of BODMAS/PEMDAS, division and multiplication operations are evaluated from left to right. We can rewrite the expression in fractional form:

$\frac{486}{x}\times \frac{7392}{66}=1008$

First, simplify the division $7392÷66$:

$7392÷66=112$

Substitute this simplified value back into the equation:

$\frac{486}{x}\times 112=1008$

Now, multiply both sides by $x$ and rearrange to solve for $x$:

$486\times 112=1008\times x$

$x=\frac{486\times 112}{1008}$

Simplify the fraction step-by-step:

Divide $1008$ by $112$:

$1008÷112=9$

Now, substitute this result back into the fraction for $x$:

$x=\frac{486}{9}$

Divide $486$ by $9$:

$x=54$

Thus, the value that replaces the question mark (?) is 54.