Find the value of [{(82 + 48 ÷ 8 × 3) + 5 × 6 } – 7.5 × 2].

Correct option is A

Given:

​$$\left[ \left( 82 + \frac{48}{8} \times 3 \right) + 5 \times 6 \right] - 7.5 \times 2$$

Formula Used:

BODMAS

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

Solution:

$$= \left[ \left( 82 + \frac{48}{8} \times 3 \right) + 5 \times 6 \right] - 7.5 \times 2$$

$$= \left[ \left( 82 + 18 \right) + 5 \times 6 \right] - 7.5 \times 2$$

$$= \left[ 100 + 5 \times 6 \right] - 7.5 \times 2$$

​$$= \left[ 100 + 30\right] - 7.5 \times 2$$​​

$$= 130 - 7.5 \times 2$$

= 130 - 15

= 115

Thus, the correct option is (a) 115