What approximate value should come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value) ?
`(sqrt(240) xx 16) div 20 = ?`

Options

A. 10
B. 14
C. 13
D. 11

Answer

To solve the expression \((\sqrt{240} \times 16) \div 20\) and find the approximate value that should come in place of the question mark (?), we can follow these steps:

### Step 1: Simplify the expression
The expression we need to evaluate is:
\[ (\sqrt{240} \times 16) \div 20 \]

### Step 2: Calculate \(\sqrt{240}\)
To find \(\sqrt{240}\), we can approximate it. We know:
\[ \sqrt{240} \approx \sqrt{225} = 15 \quad \text{(since \(15^2 = 225\))} \]
and
\[ \sqrt{240} \approx \sqrt{256} = 16 \quad \text{(since \(16^2 = 256\))} \]
Thus, \(\sqrt{240}\) is between 15 and 16. A reasonable approximation is:
\[ \sqrt{240} \approx 15.5 \]

### Step 3: Multiply by 16
Now we multiply this approximation by 16:
\[ 15.5 \times 16 \]
Calculating this gives:
\[ 15.5 \times 16 = 248 \]

### Step 4: Divide by 20
Next, we divide the result by 20:
\[ \frac{248}{20} = 12.4 \]

### Step 5: Approximate the final value
Now we need to find the approximate value of 12.4. Since we are looking for an integer, we can round this:
\[ \approx 12 \]

However, since we are looking for the closest whole number and considering the options, we can also check the next whole number:
\[ \approx 13 \]

### Conclusion
Thus, the approximate value that should come in place of the question mark (?) is:
\[ \boxed{13} \]