Directions : What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate exact value).
`[16.97xx9.01+2.04xx12.01div3.99]div[4.02+(80.99div9)]=?`

Options

A. 7
B. 18
C. 12
D. 14

Answer

To solve the expression \([16.97 \times 9.01 + 2.04 \times 12.01 \div 3.99] \div [4.02 + (80.99 \div 9)]\) and find the approximate value, we can follow these steps:

### Step 1: Approximate the values
- \(16.97 \approx 17\)
- \(9.01 \approx 9\)
- \(2.04 \approx 2\)
- \(12.01 \approx 12\)
- \(3.99 \approx 4\)
- \(4.02 \approx 4\)
- \(80.99 \approx 81\)
- \(9 \approx 9\)

### Step 2: Substitute the approximated values into the expression
Now, we can rewrite the expression using the approximated values:
\[ [17 \times 9 + 2 \times 12 \div 4] \div [4 + (81 \div 9)] \]

### Step 3: Calculate the numerator
First, calculate \(17 \times 9\):
\[ 17 \times 9 = 153 \]
Next, calculate \(2 \times 12\):
\[ 2 \times 12 = 24 \]
Now divide \(24\) by \(4\):
\[ 24 \div 4 = 6 \]
Now add these results:
\[ 153 + 6 = 159 \]

### Step 4: Calculate the denominator
First, calculate \(81 \div 9\):
\[ 81 \div 9 = 9 \]
Now add this to \(4\):
\[ 4 + 9 = 13 \]

### Step 5: Final division
Now we can divide the results from the numerator and denominator:
\[ \frac{159}{13} \]

### Step 6: Approximate the result
Calculating \(159 \div 13\) gives approximately \(12.23\). Since we are looking for an approximate value, we can round this to \(12\).

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{12} \]