Directions: What approximate value should replace the question mark (?) in the following expression? (You are not expected to calculate the exact value)

$\sqrt{624}+19.89\%\text{of}249=?+\frac{1}{4}\times 159$

The correct answer is 35.

To find the approximate value of the question mark (?), we round the values in the given mathematical expression to their nearest easily calculable numbers:

Given expression:

$\sqrt{624}+19.89\%\text{ of }249=?+\frac{1}{4}\times 159$

Step 1: Approximate each component of the expression:

1. Approximate the square root term:

$\sqrt{624}\approx \sqrt{625}=25$

2. Approximate the percentage term:

$19.89\%$ is approximately $20\%$, and $249$ is approximately $250$.

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

3. Approximate the fraction multiplication term:

$159$ is approximately $160$.

$\frac{1}{4}\times 160=40$

Step 2: Substitute the approximated values back into the equation:

$25+50=?+40$

Step 3: Simplify and solve for (?):

$75=?+40$

$?=75-40$

$?=35$

Hence, the approximate value that should replace the question mark is 35.