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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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