What approximate value will come in place of question mark(?) in the given question? (You are not expected to calculate the exact value.)
`749.82 div 14.89 xx 4.99 = ?^2 xx 10.002`

Options

A. 5
B. 2
C. 10
D. 3

Answer

To solve the equation \( 749.82 \div 14.89 \times 4.99 = ?^2 \times 10.002 \), we will approximate the values for easier calculation.

### Step-by-step Solution:

1. **Approximate the values**:
- Approximate \( 749.82 \) to \( 750 \).
- Approximate \( 14.89 \) to \( 15 \).
- Approximate \( 4.99 \) to \( 5 \).
- Approximate \( 10.002 \) to \( 10 \).

So, we rewrite the equation as:
\[ 750 \div 15 \times 5 = ?^2 \times 10 \]

2. **Calculate the left side**:
- First, perform the division:
\[ 750 \div 15 = 50 \]
- Next, multiply by \( 5 \):
\[ 50 \times 5 = 250 \]

Now, the equation looks like:
\[ 250 = ?^2 \times 10 \]

3. **Isolate \( ?^2 \)**:
- Divide both sides by \( 10 \):
\[ ?^2 = \frac{250}{10} = 25 \]

4. **Find \( ? \)**:
- Take the square root of both sides:
\[ ? = \sqrt{25} = 5 \]

Thus, the approximate value that will come in place of the question mark (?) is **5**.