Find the value of $$[(30 \div 5) \times \{\frac{30}{6} + \frac{19}{1} \times (4 - 3)\}]$$​​

Correct option is A

Given:

$$[(30 \div 5) \times \{\frac{30}{6} + \frac{19}{1} \times (4 - 3)\}]$$

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:

$$[(30 \div 5) \times \{\frac{30}{6} + \frac{19}{1} \times (4 - 3)\}]$$​

= $$[6 \times \{\frac{30}{6} + \frac{19}{1} \times (4 - 3)\}]$$

= $$[6 \times \{\frac{30}{6} + \frac{19}{1} \times 1\}]$$

$$=6 \times \{\frac{30}{6} + \frac{19}{1} \times 1\}]$$

= $$6 \times \frac{30 +114}{6}$$

= $$6 \times \frac{144}{6}=144$$

Option (A) is right.