The value of 64÷[44-(8 of 3-16)÷4×20] is equal to:

Correct option is B

Given:​

64 ÷ [ 44 - (8 of 3 - 16) ÷ 4 × 20]

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:

64 ÷ [ 44 - (8 of 3 - 16) ÷ 4 × 20]

= 64 ÷ [ 44 - (24 - 16) ÷ 4 × 20]

= 64 ÷ [ 44 - 8 ÷ 4 × 20]

= 64 ÷ [ 44 - 2​ × 20]

= 64 ÷ [ 44 - 40 ]

= 64 ÷ 4

= 16