The value of {3/5×[3+{3+(11+5+6)}]} is:

Correct option is B

Given: ​

{3/5×[3+{3+(11+5+6)}]} 

Concept Used:  ​

Simplification using BODMAS rule:

​$$\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}$$          

Solution:    

​$$\begin{aligned} &​ \frac{ 3}{5}×[3+\{3+(11+5+6)\}] \\ \\ &​ = \frac{ 3}{5}×[3+\{3+(22)\}] \\ \ \\​ &=\frac{ 3}{5}×[3+\{3+(22)\}] \\ \ \\ &= \frac{ 3}{5}×[3+\{25\}] \\ \ \\ &=\frac{ 3}{5}×[28] \\ \ \\ &=\frac{84}{5} = 16\frac{4}{5} \\ \end{aligned}$$​​