What approximate value will come in place of (?) in the following questions ?
`(59.99)/(180.01) xx root(2)(81.011) + 249.98% "of 160.01" = ?`

Options

A. 407
B. 412
C. 399
D. 403

Answer

To solve the given expression and find the approximate value that will replace the question mark (?), we will break down the problem step by step.

### Step 1: Approximate the values
We start by approximating each number in the expression:

1. \( 59.99 \) can be approximated to \( 60 \).
2. \( 180.01 \) can be approximated to \( 180 \).
3. \( \sqrt{81.011} \) can be approximated to \( \sqrt{81} = 9 \).
4. \( 249.98\% \) can be approximated to \( 250\% \).
5. \( 160.01 \) can be approximated to \( 160 \).

So, the expression simplifies to:
\[ \frac{60}{180} \times 9 + 250\% \text{ of } 160 \]

### Step 2: Simplify the fraction
Next, we simplify \( \frac{60}{180} \):
\[ \frac{60}{180} = \frac{1}{3} \]

### Step 3: Calculate the first part of the expression
Now we calculate the first part of the expression:
\[ \frac{1}{3} \times 9 = 3 \]

### Step 4: Calculate the percentage
Next, we calculate \( 250\% \) of \( 160 \):
\[ 250\% \text{ of } 160 = \frac{250}{100} \times 160 = 2.5 \times 160 = 400 \]

### Step 5: Combine the results
Now, we combine the results from Step 3 and Step 4:
\[ 3 + 400 = 403 \]

### Conclusion
Thus, the approximate value that will come in place of (?) is:
\[ \boxed{403} \]