Simplify: $$144 \div[ \frac{8}{4} \times \left\{ 7 + 7 - \left( 5 + 8 - (9 + 2) \right) \right\}]$$

Correct option is C

Given:

​$$144 \div[ \frac{8}{4} \times \left\{ 7 + 7 - \left( 5 + 8 - (9 + 2) \right) \right\}]$$

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:

​$$144 \div[ \frac{8}{4} \times \left\{ 7 + 7 - \left( 5 + 8 - 11 \right) \right\}]$$

=$$144 \div[ \frac{8}{4} \times \left\{ 7 + 7 -2\right\}]$$

=$$144 \div[ 2 \times 12]$$

=$$144 \div24$$ =6​