What is the value of the following expression?
$$\frac{81}{7} \times \frac{21}{3} - 4\frac{2}{3} \div \frac{7}{9} \times \frac{121}{6}$$​

Correct option is B

Given:

​$$\frac{81}{7} \times \frac{21}{3} - 4\frac{2}{3} \div \frac{7}{9} \times \frac{121}{6}$$  

Concept Used: 

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:

​$$\frac{81}{7} \times \frac{21}{3} - 4\frac{2}{3} \div \frac{7}{9} \times \frac{121}{6}\\ \ \\ = \frac{81}{7} \times \frac{21}{3} - \frac{14}{3} \times \frac{9}{7} \times \frac{121}{6} \\ \ \\ = 81 - 121 \\ \ \\ = -40$$​