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Evaluate: 41 - [36 - {48 ÷ 2 - (6 - 6 ÷ 2) ÷ 3}]
Question

Evaluate: 41 - [36 - {48 ÷ 2 - (6 - 6 ÷ 2) ÷ 3}]

A.

27

B.

28

C.

29

D.

30

Correct option is B

Given:

​41 - [36 - {48 ÷ 2 - (6 - 6 ÷ 2) ÷ 3}]

Concept Used:

Operation preference wiseSymbolBrackets[ ],{ },( )Orders, ofx (power), (root), ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|l|l|}\hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} & [\,], \{\,\}, (\,) \\\hline\text{Orders, of} & ^x \, (\text{power}), \, \sqrt{} \, (\text{root}), \, \text{of} \\\hline\text{Division} & \div \\\hline\text{Multiplication} & \times \\\hline\text{Addition} & + \\\hline\text{Subtraction} & - \\\hline\end{array}

Solution:

​​41 - [36 - {48 ÷ 2 - (6 - 6 ÷ 2) ÷ 3}]

= 41 - [36 - {48 ÷ 2 - (6 - 3) ÷ 3}]

= 41 - [36 - {48 ÷ 2 - 3 ÷ 3}]

= 41 - [36 - {24- 1}]

= 41 - [36 - 23]

= 41 - 13 = 28

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