Directions: What approximate value should come in place of the question mark (?) in the following equation?

${18.98}^2-20.02\%\text{of}249.91-?=120.95$

The correct option is 190.

Given equation:

${18.98}^2-20.02\%\text{of}249.91-?=120.95$

To find the approximate value of the question mark (?), let us round off the numbers in the given expression to their nearest integers:
1. $18.98\approx 19$
2. $20.02\%\approx 20\%$
3. $249.91\approx 250$
4. $120.95\approx 121$

Now, substitute these approximate values into the equation step-by-step:

First, calculate the square of 19:

${19}^2=361$

Next, calculate 20% of 250:

$20\%\text{of}250=\frac{20}{100}\times 250=50$

Substitute these calculated values into the expression:

$361-50-?=121$

Simplify the left side of the equation:

$311-?=121$

Solve for (?):

$?=311-121$

$?=190$

Hence, the approximate value that should come in place of the question mark (?) is 190.