Directions : What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate exact value).
`(23.99xx4.01)div(?xx7.97)=sqrt(4.12)`

Options

A. 6
B. 19
C. 17
D. 10

Answer

To solve the equation `(23.99 * 4.01) / (? * 7.97) = sqrt(4.12)`, we will follow these steps:

### Step 1: Approximate the values
We will round the numbers to make calculations easier:
- Approximate 23.99 to 24
- Approximate 4.01 to 4
- Approximate 7.97 to 8
- Approximate sqrt(4.12) to sqrt(4), which is 2

### Step 2: Rewrite the equation
Now, substituting the approximated values into the equation:
\[ (24 * 4) / (? * 8) = 2 \]

### Step 3: Calculate the left side
Calculate \(24 * 4\):
\[ 24 * 4 = 96 \]
Now the equation looks like:
\[ 96 / (? * 8) = 2 \]

### Step 4: Cross-multiply to solve for ?
Cross-multiply to isolate the variable:
\[ 96 = 2 * (? * 8) \]
This simplifies to:
\[ 96 = 16? \]

### Step 5: Solve for ?
Now, divide both sides by 16:
\[ ? = 96 / 16 \]
Calculating this gives:
\[ ? = 6 \]

### Conclusion
The approximate value that will come in place of the question mark (?) is **6**.