What approximate value will come in place of question mark (?) in the following questions ? (you are not expexted to calculate the exact value )
`9723.88div67.94+47.08xx(4.02/6.13)=?^2-22`

Options

A. 10
B. 25
C. 6
D. 14

Answer

To solve the problem step by step, we will approximate the values and perform the necessary calculations without finding the exact values.

### Step 1: Approximate the values
We start with the expression:
\[ 9723.88 \div 67.94 + 47.08 \times \left(\frac{4.02}{6.13}\right) = ?^2 - 22 \]

We approximate:
- \( 9723.88 \approx 9724 \)
- \( 67.94 \approx 68 \)
- \( 47.08 \approx 47 \)
- \( 4.02 \approx 4 \)
- \( 6.13 \approx 6 \)

### Step 2: Perform the division
Now we calculate:
\[ 9724 \div 68 \]

To simplify, we can estimate:
\[ 9724 \div 68 \approx 143 \]
(We can check that \( 68 \times 143 \) is close to \( 9724 \))

### Step 3: Calculate the fraction
Next, we calculate:
\[ \frac{4}{6} \approx \frac{2}{3} \]

### Step 4: Multiply by 47
Now we multiply:
\[ 47 \times \frac{2}{3} \]
This can be approximated as:
\[ \frac{47 \times 2}{3} = \frac{94}{3} \approx 31.33 \]

### Step 5: Combine the results
Now we combine the results from Step 2 and Step 4:
\[ 143 + 31.33 \approx 174.33 \]

### Step 6: Add 22
Next, we add 22 to the result:
\[ 174.33 + 22 \approx 196.33 \]

### Step 7: Set up the equation
Now we have:
\[ ?^2 \approx 196.33 \]

### Step 8: Find the approximate value of ?
To find ?, we take the square root:
\[ ? \approx \sqrt{196} \approx 14 \]

### Final Result
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{14} \]