What approximate value should come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value.)
`[(1.3)^2 × (4.2)^2] div2.7 =?`

Options

A. 7
B. 21
C. 18
D. 11

Answer

To find the approximate value of the expression \([(1.3)^2 × (4.2)^2] \div 2.7\), we will follow these steps:

### Step 1: Approximate the values
First, we will approximate the values of \(1.3\), \(4.2\), and \(2.7\) to simpler numbers for easier calculations.

- Approximate \(1.3\) to \(1.5\)
- Approximate \(4.2\) to \(4\)
- Approximate \(2.7\) to \(3\)

### Step 2: Calculate the squares
Now we will calculate the squares of the approximated values.

\[ (1.5)^2 = 2.25 \]
\[ (4)^2 = 16 \]

### Step 3: Multiply the squares
Next, we will multiply the results from the previous step.

\[ 2.25 × 16 = 36 \]

### Step 4: Divide by the approximate value
Now, we will divide the result by the approximate value of \(2.7\) which we approximated to \(3\).

\[ \frac{36}{3} = 12 \]

### Conclusion
The approximate value that comes in place of the question mark (?) is \(12\).