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Find the value of [(20×13)×{4÷4×(19−13)3}][(20 \times 13) \times \{4\div4\times\frac{(19-13)}{3}\}][(20×13)×{4÷4×3(19−13)​}]​​
Question

Find the value of [(20×13)×{4÷4×(1913)3}][(20 \times 13) \times \{4\div4\times\frac{(19-13)}{3}\}]​​

A.

525

B.

510

C.

520

D.

527

Correct option is C

Given:

[(20×13)×{4÷4×(1913)3}][(20 \times 13) \times \{4\div4\times\frac{(19-13)}{3}\}] 

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:

[(20×13)×{4÷4×(1913)3}]=[(260)×{1×63}]=[(260)×1×2]=520[(20 \times 13) \times \{4\div4\times\frac{(19-13)}{3}\}]\\= [(260) \times \{1\times\frac{6}{3}\}]\\=[(260) \times 1\times 2]\\= 520​​

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