What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value)
`43.495 xx (64.02)/(31.99) xx (1)/(28.979) - 2.012 = ?`

Options

A. 4
B. 12
C. 6
D. 1

Answer

To solve the equation \( 43.495 \times \frac{64.02}{31.99} \times \frac{1}{28.979} - 2.012 = ? \) and find the approximate value, we will follow these steps:

### Step 1: Round off the numbers
- **Round off \( 43.495 \)** to \( 43.5 \)
- **Round off \( 64.02 \)** to \( 64 \)
- **Round off \( 31.99 \)** to \( 32 \)
- **Round off \( 28.979 \)** to \( 29 \)
- **Round off \( 2.012 \)** to \( 2 \)

### Step 2: Substitute the rounded values into the equation
The equation now looks like this:
\[ 43.5 \times \frac{64}{32} \times \frac{1}{29} - 2 \]

### Step 3: Simplify the fraction
Calculate \( \frac{64}{32} \):
\[ \frac{64}{32} = 2 \]
Now, substitute this back into the equation:
\[ 43.5 \times 2 \times \frac{1}{29} - 2 \]

### Step 4: Multiply \( 43.5 \) by \( 2 \)
Calculate:
\[ 43.5 \times 2 = 87 \]
Now the equation is:
\[ \frac{87}{29} - 2 \]

### Step 5: Divide \( 87 \) by \( 29 \)
Estimate \( \frac{87}{29} \):
\[ \frac{87}{29} \approx 3 \]
Now the equation becomes:
\[ 3 - 2 \]

### Step 6: Final calculation
Now, subtract \( 2 \) from \( 3 \):
\[ 3 - 2 = 1 \]

### Conclusion
The approximate value that will come in place of the question mark (?) is:
\[ \boxed{1} \]