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Find the value of [(19×3)×{82×(18−144)}]\left[ (19 \times 3) \times \left\{ \frac{8}{2} \times \left( \frac{18 - 14}{4} \right) \right\} \right][
Question

Find the value of [(19×3)×{82×(18144)}]\left[ (19 \times 3) \times \left\{ \frac{8}{2} \times \left( \frac{18 - 14}{4} \right) \right\} \right]​​

A.

245

B.

214

C.

228

D.

226

Correct option is C

Given:
[(19×3)×{82×(18144)}]\left[ (19 \times 3) \times \left\{ \frac{8}{2} \times \left( \frac{18 - 14}{4} \right) \right\} \right] 
Concept Used: 

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\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:
[(19×3)×{82×(18144)}]=[57×{4×(44)}]=[57×4]=228\left[ (19 \times 3) \times \left\{ \frac{8}{2} \times \left( \frac{18 - 14}{4} \right) \right\} \right]\\= \left[ 57 \times \left\{ 4 \times \left( \frac{4}{4} \right) \right\} \right]\\= \left[ 57 \times 4 \right]\\= 228

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