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If '×' is interchanged with '÷' and '6' is interchanged with '9', then which of the following equations will be correct?
Question

If '×' is interchanged with '÷' and '6' is interchanged with '9', then which of the following equations will be correct?

A.

96 × 3 ÷ 25 = 576

B.

96 × 3 ÷ 69 = 2207

C.

69 × 12 ÷ 96 = 552

D.

69 × 9 ÷ 46 = 736

Correct option is C

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}
Given:
Sign / Digit
​×
6
Interchanged
÷
9
Evaluating Each Option After Interchanging:
Option A: 96 × 3 ÷ 25 = 576
After interchanging:
96 ÷ 3 × 25 = 576
= 32 × 25 = 576
= 800 \not= 576
​Option B: 96 × 3 ÷ 69 = 2207
​After interchanging:
96 ÷ 3 × 69 = 2207
= 32 × 69 = 2207
= 2208 \not=​ 2207
Option C: 69 × 12 ÷ 96 = 552
After interchanging:
96 ÷ 12 × 69 = 552
= 8 ​× 69 = 552
= 552 = 552 (Follow)
Option D: 69 × 9 ÷ 46 = 736
After interchanging:
96 ÷ 9 × 46 = 736
= 10.67 × 46 = 736
​=491 \not=​ 736
So, 69 × 12 ÷ 96 = 552 is the correct equation after interchanging.
Thus, the correct option is: (c)

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