​$$\text{Simplify:} \\72 \div \left[ \frac{4}{2} \times \left( 9 + 2 - \left( 4 + 7 - (1 + 8) \right) \right) \right]$$​​

Correct option is A

Given:​

7$$2 \div \left[ \frac{4}{2} \times \left( 9 + 2 - \left( 4 + 7 - (1 + 8) \right) \right) \right]$$

Concept Used:

$$\begin{array}{|l|l|}\hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} & [\,], \{\,\}, (\,) \\\hline\text{Orders, of} & ^x \, (\text{power}), \, \sqrt{} \, (\text{root}), \, \text{of} \\\hline\text{Division} & \div \\\hline\text{Multiplication} & \times \\\hline\text{Addition} & + \\\hline\text{Subtraction} & - \\\hline\end{array}$$

Solution:

$$72 \div \left[ \frac{4}{2} \times \left( 9 + 2 - \left( 4 + 7 - 9 \right) \right) \right] \\ \ \\ =72 \div \left[ \frac{4}{2} \times \left( 9 + 2 -2 \right) \right]\\ \ \\ =72 \div \left[ \frac{4}{2} \times 9 \right]\\ \ \\ =72 \div 18 = 4$$​