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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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