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The value of 68 - 6 × [ 4 + 4 × {12 - 4 ( 6 - 5 ) × 3} ÷ 15] is:
Question

The value of 68 - 6 × [ 4 + 4 × {12 - 4 ( 6 - 5 ) × 3} ÷ 15] is:

A.

54

B.

50

C.

47

D.

44

Correct option is D

Given:
686×[4+4×124(65)×3÷15] 68 - 6 × [ 4 + 4 × {12 - 4 ( 6 - 5 ) × 3} ÷ 15]  
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:

​68 - 6 × [ 4 + 4 × {12 - 4 ( 6 - 5 ) × 3} ÷ 15] \\
= 68 - 6 × [ 4 + 4 × {12 - 4 \times 1 × 3} ÷ 15] \\
= 68 - 6 × [ 4 + 4 × {12 - 12} ÷ 15] \\
= 68 - 6 × [ 4 + 4 × 0 ÷ 15] \\
= 68 - 6 × [ 4 ] \\
= 68 - 24\\
= 44\\

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