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​Which two signs should be interchanged to make the following equation correct?658 × 14 ÷ 3 − 32 + 56 = 165​
Question

Which two signs should be interchanged to make the following equation correct?
658 × 14 ÷ 3 − 32 + 56 = 165

A.

÷ and +

B.

÷ and

C.

÷ and ×

D.

÷ and =

Correct option is C

Logic: interchange mathematical operators and solve as per BODMAS rule.
Operation preference wiseSymbolBrackets[],,()Orders,of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline Brackets &[],{}, () \\ \hline Orders, of & (power), √ (root) , of \\ \hline Division& ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\\hline \end{array}​​
Check option A,​÷ and +​
Given:
658 × 14 ÷ 3 − 32 + 56 = 165
After interchanging,
658 × 14 + 3 − 32 ÷ 56 = 165
Here, 32 is perfectly not divisible by 56.
So, its not correct option.
Check option B, ​÷ and −​
Given:
658 × 14 ÷ 3 − 32 + 56 = 165
After interchanging,
658 × 14 - 3 ÷ 32 + 56 = 165
Here, 3 is perfectly not divisible by 32.
So, its not correct option.
Check option C,÷ and ×​
Given:
658 × 14 ÷ 3 − 32 + 56 = 165
After interchanging,
658 ÷ 14 × 3 − 32 + 56 = 165
47 × 3 − 32 + 56 = 165
141 − 32 + 56 = 165
165=165
So, its correct option.
Check option D,​​÷ and =​
Given:
658 × 14 ÷ 3 − 32 + 56 = 165
After interchanging,
658 × 14 = 3 − 32 + 56 ÷ 165
Here, 56 is perfectly not divisible by 165.
So, its not correct option.
Thus, correct option is (c).

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