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If we interchange “+” with “–” and “÷” with “×”, then which of the below equations is correct?
Question

If we interchange “+” with “–” and “÷” with “×”, then which of the below equations is correct?

A.

15 × 3 – 17 + 6 ÷ 2 = 11

B.

2 ÷ 7 + 8 – 21 × 3 = 14

C.

12 – 16 × 2 + 5 ÷ 4 = 1

D.

17 + 7 ÷ 2 – 21 × 3 = 10

Correct option is D

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
+
÷
Interchanged
-
×
​Check Each Option:
Option A: 15 × 3 – 17 + 6 ÷ 2 = 11
After changes: 15 ÷ 3 + 17 – 6 × 2 = 11
5 + 17 - 6 × 2 = 11
5 + 17 - 12 = 11
22 - 12 = 11
10 \not= 11
Option B: 2 ÷ 7 + 8 – 21 × 3 = 14
After changes: 2 × 7 – 8 + 21 ÷ 3 = 14
2 × 7 – 8 + 7 = 14
14 + 7 - 8 = 14
21 - 8 = 14
13 \not=​ 14
Option C: 12 – 16 × 2 + 5 ÷ 4 = 1
After changes: 12 + 16 ÷ 2 – 5 × 4 = 1
12 + 8 – 5 × 4 = 1
12 + 8 – 20 = 1
20 - 20 = 1
\not=​ 1
Option D: 17 + 7 ÷ 2 – 21 × 3 = 10
After changes: 17 – 7 × 2 + 21 ÷ 3 = 10
17 – 7 × 2 + 7 = 10
17 – 14 + 7 = 10
3 + 7 = 10
10 = 10 (Follow)
Thus, the correct option is: (d)

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