Find the value of $$\left[(12 \times 4) \times \left\{ \frac{6}{4} \times \left( \frac{7 - 4}{6} \right) \right\}\right]$$​.

Correct option is D

Given:

$$\left[(12 \times 4) \times \left\{ \frac{6}{4} \times \left( \frac{7 - 4}{6} \right) \right\}\right]$$​

Concept Used:

$$\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline \text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline \end{array}$$​​

Solution:

$$= \left[(12 \times 4) \times \left\{ \frac{6}{4} \times \left( \frac{7 - 4}{6} \right) \right\}\right]\\ \ \\= \left[(48) \times \left\{ \frac{6}{4} \times \left( \frac{3}{6} \right) \right\}\right]\\ \ \\= \left[(48) \times \frac{3}{4} \right]\\ \ \\= 36$$​