The value of 5 + 24 $$\times$$ 8 $$\div$$ 8 of 8 - 8 $$\div$$ 8 $$\times$$ 4 of 4 is equal to:​

Correct option is C

Given:​

5 + 24 $$\times$$​ 8$$\div$$​ 8 of 8 - 8$$\div$$​ 8$$\times$$ 4 of 4

Concept Used:

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

Solution:

5 + 24 $$\times$$​​ 8$$\div$$​​ 8 of 8 - 8$$\div$$​​ 8$$\times$$​ 4 of 4

= 5 + 24 $$\times$$​​ 8$$\div$$​ 64 - 8$$\div$$​​ 8$$\times$$​ 16

$$= 5 + 24 ×​​​ \frac 18- 1×​​ 16$$

= 5 + 3 -16

= 8 - 16

= -8