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Evaluate: 41 - [21 - {11 - (15 - 8 ÷ 3 × 3)}]
Question

Evaluate: 41 - [21 - {11 - (15 - 8 ÷ 3 × 3)}]

A.

24

B.

26

C.

19

D.

21

Correct option is A

Given:

41 - [21 - {11 - (15 - 8 ÷ 3 × 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 - [21 - {11 - (15 - 83\frac 83​ × 3)}] 

=​41 - [21 - {11 - (15 - 8 )}] 

= ​41 - [21 - {11 - 7}] 

= 41 - [21 - 4] 

=  41 - 17 = 24

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