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    The simplified value of 48 - (-18) × (-60 - 72 - 92) ÷ [8 × { 2 + (-6) × (-9)}] is:
    Question

    The simplified value of 48 - (-18) × (-60 - 72 - 92) ÷ [8 × { 2 + (-6) × (-9)}] is:

    A.

    34

    B.

    39

    C.

    36

    D.

    37

    Correct option is B

    Given:
     48 - (-18) × (-60 - 72 - 92) ÷ [8 × { 2 + (-6) × (-9)}] 
    Formula Used:

    Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\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:
    ​ 48 - (-18) × (-60 - 72 - 92) ÷ [8 × { 2 + (-6) × (-9)}] 
     =  48 - (-18) × (-224) ÷ [8 × { 2 +54}] 
     =  48 - (-18) × -224 ÷ [8 × 56] 
    = 48 - (-18) × 2248×56\frac{-224} { 8 × 56}
    = 48 -9
    = 39

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