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    Evaluate: 41 - [21 - {11 - (15 - 5 ÷ 2 × 2)}]
    Question

    Evaluate: 41 - [21 - {11 - (15 - 5 ÷ 2 × 2)}]

    A.

    18

    B.

    23

    C.

    16

    D.

    21

    Correct option is D

    Given:

    41 - [21 - {11 - (15 - 5 ÷ 2 × 2)}] 

    ​

    Concept Used:

    BODMAS rule:
    ​Operation preference wiseSymbol Brackets[],,()Orders, of ²(power),√(root),ofDivision÷Multiplication×Addition+Subtraction−\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline \text{ Brackets} &[],{}, () \\ \hline \text{Orders, of }& ² (power), √ (root) , of \\ \hline \text{Division} & ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\ \hline \end{array}     
    Solution: 

    41 - [21 - {11 - (15 - 5 ÷ 2 × 2)}] 

    =  41 - [21 - {11 - (15 - 5)}]  

    = 41 - [21 - {11 - 10}]  

    = 41 - [21 - 1] 

    = 41 - 20 

    = 21

    ​

    ​

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