What approximate value will come in place of question marks(?) in the given questions?(You are not expected to calculate the exact value.)
`45% `of `401 div 3 -? = 6.02^2`

Options

A. 38
B. 52
C. 6
D. 24

Answer

To solve the equation \( 45\% \text{ of } 401 \div 3 - ? = 6.02^2 \), we will follow these steps:

### Step 1: Calculate \( 6.02^2 \) approximately
We know that \( 6.02 \) is close to \( 6 \). Therefore, we can approximate:
\[ 6.02^2 \approx 6^2 = 36 \]

### Step 2: Calculate \( 45\% \text{ of } 401 \)
To find \( 45\% \) of \( 401 \), we can use the formula:
\[ 45\% \text{ of } 401 = \frac{45}{100} \times 401 \]
We can approximate \( 401 \) to \( 400 \) for easier calculation:
\[ \frac{45}{100} \times 400 = 0.45 \times 400 = 180 \]

### Step 3: Divide by \( 3 \)
Now we need to divide \( 180 \) by \( 3 \):
\[ \frac{180}{3} = 60 \]

### Step 4: Set up the equation
Now we substitute back into the equation:
\[ 60 - ? = 36 \]

### Step 5: Solve for \( ? \)
To find \( ? \), we rearrange the equation:
\[ ? = 60 - 36 = 24 \]

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{24} \]