What approximate value will come in place of question mark in the following questions?
`?%of400.02+12.93^2=285`

Options

A. 15
B. 24
C. 34
D. 29

Answer

To solve the equation given in the question, we need to find the approximate value of the question mark (?) in the equation:

\[ ?\% \text{ of } 400.02 + 12.93^2 = 285 \]

### Step-by-Step Solution:

1. **Convert the percentage to a decimal**:
\[ ?\% = \frac{?}{100} \]

2. **Set up the equation**:
\[ \frac{?}{100} \times 400.02 + 12.93^2 = 285 \]

3. **Approximate 400.02**:
For simplicity, we can round 400.02 to 400.
\[ \frac{?}{100} \times 400 + 12.93^2 = 285 \]

4. **Calculate \(12.93^2\)**:
We can approximate \(12.93\) to \(13\).
\[ 13^2 = 169 \]

5. **Substitute the squared value into the equation**:
\[ \frac{?}{100} \times 400 + 169 = 285 \]

6. **Isolate the term with the question mark**:
\[ \frac{?}{100} \times 400 = 285 - 169 \]
\[ \frac{?}{100} \times 400 = 116 \]

7. **Multiply both sides by 100**:
\[ ? \times 400 = 11600 \]

8. **Divide by 400 to solve for ?**:
\[ ? = \frac{11600}{400} \]
\[ ? = 29 \]

Thus, the approximate value that will come in place of the question mark is **29**.