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Which of the following equations is correct when the numbers 12 and 6 are interchanged and the signs ÷ and + are interchanged?
Question

Which of the following equations is correct when the numbers 12 and 6 are interchanged and the signs ÷ and + are interchanged?

A.

6 ÷ 4 ×5 - 12 + 3 = 30

B.

9 ÷ 6 × 4 + 12 - 3 = 18

C.

12 ÷ 3 - 8 - 6 + 1 = 15

D.

4 - 6 × 12 ÷ 5 + 7 = 22

Correct option is A

Symbol/Number
12
÷
Interchange
6
+

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} ​​

Let's check options;
A) 6 ÷ 4 ×5 - 12 + 3 = 30
New equation: 
12 +  4 ×5 - 6 ÷ 3 = 30
​12 +  4 ×5 - 2 = 30
12 +  20 - 2 = 30
32 - 2 = 30
30 = 30 (Correct)

Thus, correct option is (a).



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