What approximate value will come in place of the question ,mark (?) in the given questions? (You are not expected to calculate the exact value)
`(1563.96+1636.09)/2^3=?^2`

Options

A. 28
B. 20
C. 18
D. 16

Answer

To solve the equation \((1563.96 + 1636.09) / 2^3 = ?^2\) and find the approximate value for the question mark (?), we can follow these steps:

### Step 1: Approximate the numbers
First, we can round the numbers \(1563.96\) and \(1636.09\) to the nearest hundreds for easier calculation:
- \(1563.96 \approx 1600\)
- \(1636.09 \approx 1600\)

### Step 2: Add the approximated values
Next, we add the two approximated values:
\[ 1600 + 1600 = 3200 \]

### Step 3: Calculate \(2^3\)
Now, we calculate \(2^3\):
\[ 2^3 = 8 \]

### Step 4: Divide the sum by \(2^3\)
Now, we divide the sum \(3200\) by \(8\):
\[ \frac{3200}{8} = 400 \]

### Step 5: Find the square root
We need to find the value of \(?\) such that \(?^2 = 400\). To do this, we take the square root of \(400\):
\[ ? = \sqrt{400} = 20 \]

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{20} \]