What is the value of the following expression?
(14÷ 7)× [8+ {3+8-2}]-(5-2)

Correct option is B

Given: 

(14÷ 7)× [8+ {3+8-2}]-(5-2)

Concept Used:

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

Solution:

= $$\left( \frac{14}{7} \right) \times \left[ 8 + \left\{ 3+ 8 - 2 \right\} \right] - (5 - 2)$$

= $$\left( \frac{14}{7} \right) \times \left[ 8 + \left\{ 9\right\} \right] - (3)$$

= $$\left( 2\right) \times \left[ 17 \right] - (3)$$

= $$34-3$$

= $$31$$ 

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