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​If '÷' means '+', '–' means '×', '×' means '–' and '+' means '÷', then find the value of 40 ÷ 20 × 10 + 10 – 5.​
Question

If '÷' means '+', '–' means '×', '×' means '–' and '+' means '÷', then find the value of

40 ÷ 20 × 10 + 10 – 5.

A.

55

B.

52

C.

1

D.

25

Correct option is A

Given:  40 ÷ 20 × 10 + 10 – 5 
Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}​​
Substitute the given operators with their new meanings
'÷' means '+'
'–' means '×'
'×' means '–'
'+' means '÷'
So, rewriting the expression:
40÷20×10+10-5
Becomes:
40+20-10÷10×5
40 + 20- 1 × 5
40 + 20- 5
60 - 5 
55
Thus, the Correct Option is (a) 55.

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