14.982% of 740.25 - 64.87% of 800.26 = 552.21 - ?²
What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)

The correct option is 31.

To find the approximate value of ?, we can round off the decimal numbers in the given expression to their nearest convenient values:

$14.982\%\approx 15\%$
$740.25\approx 740$
$64.87\%\approx 65\%$
$800.26\approx 800$
$552.21\approx 552$

Now, substitute these approximate values back into the equation:

$15\%\text{of}740-65\%\text{of}800=552-{?}^2$

Calculate each part of the equation step-by-step:

First, calculate 15% of 740:
$15\%\text{of}740=\frac{15}{100}\times 740=0.15\times 740=111$

Next, calculate 65% of 800:
$65\%\text{of}800=\frac{65}{100}\times 800=0.65\times 800=520$

Substitute these calculated values back into the equation:
$111-520=552-{?}^2$

Simplify the left-hand side:
$-409=552-{?}^2$

Rearrange the equation to solve for ${?}^2$:
${?}^2=552+409$
${?}^2=961$

Take the square root of both sides to find the value of ?:
$?=\sqrt{961}$
$?=31$

Thus, the approximate value that will come in place of the question mark is 31.