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Which two signs should be interchanged to make the given equation correct?87 × 2 − 80 ÷ 8 + 160 = 4
Question

Which two signs should be interchanged to make the given equation correct?
87 × 2 − 80 ÷ 8 + 160 = 4

A.

+ and −

B.

+ and =

C.

+ and ×

D.

+ and ÷

Correct option is B

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:
87 × 2 − 80 ÷ 8 + 160 = 4
After interchanging,
87 × 2 + 80 ÷ 8 - 160 = 4
174 + 10 - 160 = 4
24≠4
So, its not correct option.
Check option B, ​​​​+ and =​
Given:
87 × 2 − 80 ÷ 8 + 160 = 4
After interchanging,
87 × 2 − 80 ÷ 8 = 160 + 4
174 − 10 = 164
164=164
So, its correct option.
Check option C,​​​+ and ×​
Given:
87 × 2 − 80 ÷ 8 + 160 = 4
After interchanging,
87 + 2 − 80 ÷ 8 × 160 = 4
89 − 10 × 160 = 4
89 − 1600 = 4
-1511≠4
So, its not correct option.
Check option D, ​​+ and ÷​
Given:
87 × 2 − 80 ÷ 8 + 160 = 4
After interchanging,
87 × 2 − 80 + 8 ÷ 160 = 4
Here, 8 is perfectly not divisible by 160.
So, its not correct option.
Thus, correct option is (b).

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