$(\mathrm{}?\; \times 48)÷6+2^6=96$

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

The correct option is 4.

We are given the equation:

$(?\times 48)÷6+2^6=96$

Let the missing value in place of the question mark ($?$) be represented as x.

Step 1: Simplify the exponent term.
Calculate the value of 2⁶:

$2^6=64$

Substitute this back into the equation:

$\left(x\times 48\right)÷6+64=96$

Step 2: Isolate the term containing x.
Subtract 64 from both sides of the equation:

$\left(x\times 48\right)÷6=96-64$

$\left(x\times 48\right)÷6=32$

Step 3: Simplify the left side by performing division.
Divide 48 by 6 inside the expression:

$48÷6=8$

So, the expression becomes:

$x\times 8=32$

Step 4: Solve for x.
Divide both sides by 8:

$x=\frac{32}{8}$

$x=4$

Thus, the value that comes in place of the question mark (?) is 4.