What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value)
`33.989 xx (4.01)/(17.02) xx (1)/(3.99) - 2.012 = ?`

Options

A. 0
B. 3
C. 5
D. 4

Answer

To solve the equation \( 33.989 \times \frac{4.01}{17.02} \times \frac{1}{3.99} - 2.012 = ? \) and find the approximate value of the question mark (?), we can follow these steps:

### Step 1: Round off the numbers
First, we will round off each number to its nearest integer:
- \( 33.989 \) rounds to \( 34 \)
- \( 4.01 \) rounds to \( 4 \)
- \( 17.02 \) rounds to \( 17 \)
- \( 3.99 \) rounds to \( 4 \)
- \( 2.012 \) rounds to \( 2 \)

So, we can rewrite the equation as:
\[ 34 \times \frac{4}{17} \times \frac{1}{4} - 2 \]

### Step 2: Simplify the expression
Next, we simplify the expression step by step:
1. Calculate \( \frac{4}{17} \):
- \( \frac{4}{17} \) is approximately \( 0.235 \) (but we will keep it as a fraction for now).

2. Now, substitute back into the equation:
\[ 34 \times \frac{4}{17} \times \frac{1}{4} - 2 \]

3. The \( 4 \) in the numerator and denominator cancels out:
\[ 34 \times \frac{1}{17} - 2 \]

4. Calculate \( 34 \times \frac{1}{17} \):
- \( 34 \div 17 = 2 \)

So now we have:
\[ 2 - 2 \]

### Step 3: Final calculation
Now, we perform the final subtraction:
\[ 2 - 2 = 0 \]

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{0} \]