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Find the value of (14÷2)×{147+403×(7−4)}\left(14\div2\right) \times \left\{ \frac{14}{7} + \frac{40}{3} \times (7 - 4) \right\}(14÷2)×{714​+340​×
Question

Find the value of (14÷2)×{147+403×(74)}\left(14\div2\right) \times \left\{ \frac{14}{7} + \frac{40}{3} \times (7 - 4) \right\}​​

A.

310

B.

274

C.

277

D.

294

Correct option is D

Given:
(14÷2)×{147+403×(74)}\left(14\div2\right) \times \left\{ \frac{14}{7} + \frac{40}{3} \times (7 - 4) \right\}​​
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:
(14÷2)×{147+403×(74)}=7×{2+403×3}=7×2+40=7×42=294\left(14\div2\right) \times \left\{ \frac{14}{7} + \frac{40}{3} \times (7 - 4) \right\} \\= 7\times \left\{ 2 + \frac{40}{3} \times 3 \right\} \\ = 7\times { 2 +40}\\= 7 \times 42 \\= 294\\



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